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DEPARTMKNT OF THK INTERiOR 

UNITED 2;ftTE5 GEOLOGICAL SURVEY 



TOPOGRAPHIC INSTRUCTIONS 



UNITED STATKS GEOLOGICAL 
SURVEY 



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• •• • • ••• • • .•• 

• • •• •• •?• 

• • • •••• «••• 



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•• *•• • • 

• • • • • I 

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• •• ••• • 

m • • * • 

• • ••• • 

> • • • • • 

• • • •• • •• 




r 



CONTENTS. 



Page. 

Prefatory note 9 

General instructions 11 

Administration 11 

Organization 11 

Relations to the Government 11 

Relations to vState surveys 12 

Relations to the public 12 

Information to the press , 13 

Organization and management of field parties 14 

Personnel 14 

Classification 14 

Appointment 14 

Traveling expenses 14 

Field insurance 15 

Camp subsistence and management 15 

Subsistence 15 

Camp administration 16 

Camp equipage 18 

Storage >....>. 19 

Reports :•>'•:••• '-^-y^ /• . y ".ar 

Instruments ' . /...'. ..'.."... 22 

Delivery and return : v^ ; . .^:.. /. *a2 

Requisitions . '.'.•'...: . i2i» 

Responsibilitv •■ . . v^. ^ .^ . ; . • "idf* 

Transfer 1 ...: : .% .;. . ^ 

Return 22 

Types 23 

List 23 

Care in specification 24 

Accessory articles 26 

List 1^ 

Bench-mark posts or tabl^Vs 



4 CONTENTS. 

Page. 

General instructions — Continued. 
Instruments — Continued . 

Care 27 

Cleaning 27 

Protection against weather 28 

Transportation 28 

Adjustment 30 

Precautions 30 

General adjustments 30 

Telescopic alidade 32 

Y level 32 

Locke level 34 

Rod level 34 

Transit 34 

Theodolite 36 

Suggestions to computers 39 

Primary control 42 

General conditions 42 

Primar>' tri angulation 43 

Field work 43 

Personnel and outfit of party 43 

Preparatory work 44 

Observing and recording 49 

•: ;•• % : x:dtnMf'XtiiiAs 56 

' : %,: PrimM-^^nra^litsiJ 74 

•'•. * • .;^?W:*1^^^ 74 

^ ^l *•**•! Pcifconncl and outfit of party 74 

• / •- • ..• .♦l^jeparatorv work 75 

V V: :.\ V: •;,*T^v;?^ 76 

' **Of)sefving and recording 78 

Computations 82 

Primary and precise leveling 87 

Distribution of primary-level control 87 

Bench marks 88 

Primary leveling with Y level 91 

Primary leveling with yard rod and prism level 94 

Vec/se leveling 100 

imputation and adjustment oi \eve\ citcuVts vsfe 



» e • * * 



CONTENTS. 5 

Face. 

Secondary control iz3 

Plane-table triangulation zi3 

General instructions iia 

Choice of station 113 

Observing and recording 113 

Three-point method 115 

Plane-table traverse 116 

Methods 116 

Stadia traverse 118 

Wheel traverse 123 

Tape traverse 123 

Foot traverse 124 

Use of aneroid 124 

Use of Baldwin solar chart 125 

Explanation 125 

Object 125 

Preparation of chart for use 126 

Orientation of plane-table . . . . i 128 

Errors 129 

Time correction ' 130 

Map construction 131 

Field work 131 

General character of atlas sheets 131 

Preliminary instructions 131 

Preparatory work 131 

Names 133 

Mapping of cultural features 135 

Mapping of hydrographic features 144 

Mapping of topographic features 146 

Contours 146 

Delineation 147 

Mapping of land-classification data 149 

General requirements 149 

Agricultural data 151 

Water-supply data 154 



6 CONTENTS. 

ICap construction — Continued. Page. 

Ofl&ce work 159 

Preparation of topographic field sheets for engraving 159 

Inking 159 

Culture i6o 

Bench marks and elevation figures 161 

Hydrography 162 

Topography 164 

Lettering 166 

Preparation of river-siurvey maps for photolithography 169 

Size of sheets 160 

Plans 169 

Profiles 170 

Drafting 170 

Proof reading, inspection, editing, and transmission . 171 

Order of procedure 171 

Proof reading 172 

Editing 174 

Supplementary data 175 

Medical and surgical attention 175 

First aid in emergency 175 

Surgical attention 177 

Medical and surgical outfit 178 

Pack transportation 180 

Pack-train equipment 180 

Organization of pack train 181 

Carrying capacity of pack train 181 

Marches 182 

Care of pack animals 182 

United States system of public-land surveys 183 

Township units 183 

Principal meridians and base lines 183 

Standard parallels and guide meridians 184 

Township exteriors 185 

Section lines 187 

Meanders 188 

'^ng lines 189 

king comers 189 



CONTENTS. 7 

Supplementary data — Continued. Page. 

Requisitions 19a 

Stationery 193 

Instruments 199 

Fountain pens aoa 

Miscellaneous articles aoa 

Conventional signs 205 

Index 229 



ILLUSTRATIONS. 



Paie. 

Plats I. Marks used for control stations 46 

II-III. D. H. Baldvnn solar chart for plane-table orienta- 
tion ia6 

FlouRS I. Diagram showing arrangement of triangles 60 

3. Diagram showing method of adjusting a level net . . 109 

3. Diagram showing solution of three-point method . . 116 

4. Diagram illustrating correction of base laa 

5. Pattern and s3mibols for designation of forest land . 151 

6. Patterns and symbols for designation of arable land. 153 

7. Pattern and symbols for designation of grazing 

land 153 



• I 



PREFATORY NOTE. 

The instructions relating to the topographic work of the United 
States Geological Survey issued as part of the general Survey instruc- 
tions of 1903 are now in many respects obsolete, although revised 
portions of them have from time to time been issued as circular 
letters or printed leaflets. The need for a single book containing the 
latest and most approved information on the subjects treated has 
become so urgent that it has been deemed advisable to rewrite the 
instructions in the form herein presented. 

The several parts of this book were prepared by the members 
of the topographic branch best qualified for the task and after being 
assembled and revised by the geographers in charge of divisions were 
critically examined by the chief geographer. It is desired to make 
these instructions complete so far as the technical work of map 
making is concerned and to reduce to a minimum the necessity of 
personal instruction. The present edition is preliminary, and any 
criticisms or suggestions for its improvement should be sent promptly 
to the chief geographer. 

R. B. Marshall, 

Chief Geographer. 

Approved. 

Geo. Otis Smith, Director. 

Washington, D. C, November q, igi2. 



Instructions to Topographers of the 
United States Geological Survey. 



GENERAL INSTRUCTIONS, 
ADMINISTRATION. 

ORGANIZATION. 

The topographic branch is organized under the direction of a chief 
geographer into five areal divisions (Atlantic, Central, Rocky Moun- 
tain, Northwestern, and Pacific), each of which is in charge of a 
geographer. The members of the technical force are graded as 
chief geographer, geographers, topographic engineers, topographers, 
assistant topographers, junior topographers, topographic aids, and 
draftsmen. 

RELATIONS TO THE GOVERNMENT. 

Loyalty on the part of every member to the Survey as an organiza- 
tion is essential to its continued efficiency and high standing. The 
enviable position which the organization now holds in the esteem 
and confidence of the public is a most valuable asset, and each 
member should feel that he is personally responsible for maintaining 
and bettering that standing. The personality or the work of other 
members of the topographic branch or of other branches of the 
Survey or of other Government bureaus should never be publicly 
criticiied. If criticisms seem necessary they should be communi- 
cated through the proper official channels to the responsible officer, 
who will give them full consideration. 

The topographic branch cooperates with other branches of the 
Survey, and to render such cooperation effective the interests of the 
Survey as a whole must be kept in mind, rather than the s|)ecial 
interests of any particular branch or division. 

Members of the topographic branch should keep themselves 
informed regarding Survey work in general and topographic work 



12 INSTRUCTIONS TO TOPOGRAPHERS. 



in particular. Ihey are referred in this connection to the leaflet 
"Nature and use of the topographic maps of the United States 
Geological Survey," and to Bulletin 227, "The United States Geo- 
logical Survey, its origin, development, organization, and opera- 
tions." 

The topographic branch is frequently called upon to cooperate 
with the General Land Office, the Forest Service, the Bureau of 
Soils, the Reclamation Service, and other Government bureaus. 
Topographers assigned to such work should familiarize themselves 
with the regulations and methods of procedure of the cooperating 
bureau and should conform to them. 

RELATIONS TO STATE SURVEYS. 

it is essential to efficiency and economy that cordial relations 
exisrt between the United States Geological Survey and the State 
surveys. When formal cooperation with a State is in force, topog- 
raphers submitting expense vouchers should first familiarize them- 
selves ^vith the State methods of accounting, so as to avoid confusion 
and delay in settlement of vouchers. It should be clearly under- 
stood that the Federal and State surveys are not competitors 
occupying the same field, but that each organization has a province 
of its own fmd that each supplements the work of the other. 

RELATIONS TO THE PUBLIC. 

Courtesy to the public is enjoined on every member and employee 
of the typographic branch. Discourtesy to the public will not be 
tolerated, and chiefs of party will be expected to discipline or 
discharge employees for flagrant neglect to conduct themselves with 
politeness and propriet>'. When persons make serious inquiry con- 
cerning work that the Survey is carrying on, time should be taken 
to give th^m the information; and when Federal and State Govern- 
ments are cooperating. Survey employees will be expected on. all 
proper occasions to make known to citizens the relations of the State 
to the woik which is being done. 

Objection is sometimes made to entry on private property by 

members of the Survey engaged in official work, but it is believed 

V objections may generally be overcome by an explanation 



GENERAL INSTRUCTIONS. 1 3 

of the public character of the work. Laws enacted b}'- the legis- 
latures of Arizona, California, Illinois, Maine, Montana, New York, 
Ohio, Pennsylvania, and Washington grant authority for sucn entry 
to officials of the United States Geological Survey. 

INFORMATION TO THE PRESS. 

It is desirable that information concern in^ the progiess of Survey 
work and matters of public concern in connection therewith shall 
be supplied to representatives of the press. Such information is 
usually given through the weekly press bulletin, and it is expected 
that members of the Geological Stu^ey will utilize this in matters of 
routine importance. It is sometimes advisable, however, for a mem- 
ber of the Survey to give information direct to a newspaper man; in 
such cases it is of the utmost importance that all statements shall be 
well considered and that they shall be correctly reported. The 
tendency among a certain class of newspaper men to wrongly inter- 
pret or to recklessly color a verbal expression in order to produce a 
"good stor}'" necessitates the adoption of safeguards which shall be 
automatic in operation and general in application. 

No statement relative to official matters may be given to the press 
without previous authorization from the Director. Whenever any 
member of the Survey is asked for a statement regarding any public 
matter, he must, before giving it, ascertain by confiultation with the 
Director whether authorization has been granted. No interview is 
to be given without securing from the person soliciting the same a 
promise that he will, before submitting his manuscript to his pub- 
lication office, present a copy of it to the Director for approval. If 
any such promise is violated, the incident will be made a matter of 
record, and future interviews will be denied to the person guilty of 
such violation. 

These restrictions arc regarded as essential to the continued wel- 
are of the organization, and must apply to all employees in the 
field, as well as in Washington, with the exception that field men 
may make general statements to representatives of the press regard- 
ing their own field plans or work accomplished 

No statements touching upon the policy of the Surveyor any other 
Government bureau should be made txc^xA. \tv 'Ccl'^: tkscncsrx. '^icsss^^ 
outlined. 

i 



14 INSTRUCTIONS TO TOPOGRAPHERS. 

ORGANIZATION AND MANAGEMENT OF FIELD PARTIES. 

PBRSONNBL. 

CLASSIFICATION. 

The letter of assignment issued to the party chief specifies the 
number and class of field men who are to make up his party, and 
their compensation. Field men are graded as follows: (i) Topo- 
graphic aids; (2) grade i: recorders, rodmen, chainmen, etc.; (3) 
grade 2: laborers, including teamsters, packers, and cooks. 

APPOINTMENT. 

Topographic aids. — Topographic aids are selected from a list of 
eligibles furnished by the United States Civil Service Commission. 

Applications for employment. — Persons desiring temporary' employ- 
ment on the field force in grade i must file application, on the form 
provided for that purpose, with the chief geographer in Washington. 
Laborers (grade 2) will be employed in the field by chiefs of parties 
as necessity may arise, and no applications for such employment 
will be received or filed in Washington. All persons are ineligible 
for employment if they are suffering from any contagious or other 
disease, and, in grade i, if they are imder 20 or more than 40 years 
of age, or if they are students pursuing a college course, tmless they 
bind themselves to remain with the party until their services are no 
longer needed. Preference is given to applicants from States in 
which the work is to be done; and in case of residents assigned to 
parties working in Western States, the age limit for rodmen, recorders, 
etc., may be waived, provided that no such employee is to be less 
than 18 years of age. 

Employment contracts. — Before entering upon his field duties every 
employee must sign a contract specifying the terms of his employ- 
ment and containing an agreement to remain with the Survey tmtil 
the close of the field season, provided his services are satisfactor>'. 

TRAVELING EXPENSES. 

In addition to compensation, necessary living and traveling 

expenses incurred diuing employment will be refunded to topo- 

lids and to employees in grades z and 2. They must report 

ft 0/ beginning of &eld work, however, atUVi^vc orvncL^xi^ense. 



MANAGEMENT OF FIBI/D PARTIES. 1 5 

FIELD INSURANCE. 

As no leave is given to temporary employees in the field, whether 
employed by the month or day, their pay stops immediately if they 
become incapacitated by reason of accident or sickness. In order 
that other members of a party may not be called on to bear the 
expenses entailed by sickness or accident of one of its members, 
chiefs of party are instructed to m'ge all employees to take out insur- 
ance. To provide this at the lowest possible rate, a mutual benefit 
association has been formed by members of the Geological Survey 
and other Government bureaus. This association exists solely for 
the purpose of giving health and accident insurance to field men at 
cost and of preventing unnecessary burdens from falling on the 
immediate associates of those disabled. Information concerning 
membership can be obtained from chiefs of party. 

CAMP SUBSISTENCE AND MANAGEMENT. 

If camp outfits are used their character should be determined b}' 
the size of the party, the means of transportation, and the nature of 
the work. They should contain the essentials for efficiency and 
comfort. Unnecessary hardships should be avoided as much as 
unnecessary luxur}-, as both lower efficiency. 

SUBSISTENCE. 

Rations. — Economy in the purchase of supplies is expected, but 
the supply should be ample and of good quality. The subjoined 
ration list is recommended as a general guide. Experience has 
shown it to be ample in amount as regards all essential articles. 

Ration list for topographic field parties.^ 

loo rations. 

Fresh meat, including fish and poultry loo pounds. 

Cmed meat, canned meat, or cheese 50 pounds. 

I/ard IS pounds. 

Flour, bread, or crackers 80 pounds. 

Commeal, cereals, macaroni, sago, or cornstarch 15 pounds. 

> The following substitutions may be made: 8 eggs for x pound of meat; 5 pounds 
of frah meat for a pounds of cured meat; 5 quarts of fresh for x can of condensed mUk.\ 
S poMiHlf of fresh fruit for i pound of dried fruit-, ^ poMii*^% «A \\«^ ^^siS»aficJ«s.Ns«^ 
2 pooftd of dried vegetables. 



i6 



INSTRUCTIONS TO TOPOGRAPHERS. 



loo rations. 

Baking powder or yeast cakes S pounds. 

Sugar • 40 pounds. 

Molasses x gallon. 

Coffee 12 pounds 

Tea, chocolate, or cocoa 2 pounds. 

Milk, condensed 10 cans. 

Butter 10 pounds. 

Dried fruit 20 pounds. 

Rice or beans 20 pounds. 

Potatoes or other fresh vegetables 100 pounds. 

Canned vegetables or fruit 30 cans. 

Spices 4 ounces. 

Flavoring extracts 4 ounces. 

Pepper or mustard 8 ounces. 

Pickles 3 quarts. 

Vinegar i quart. 

Salt 4 pounds. 

Ration for stock, — For stock the following ration may be used as a 
basis for estimate: 

Daily ration, in pounds j for stock. 



Heavy horses. 
Mules 



Oats.o 



12 
10 



Com.o 



IS 

Z2 



Hay. 



24 

20 



a The rations of oats and com are substitutes for each other. 



CAMP ADMINISTRATION. 

Discipline. — In camp the chief should insist on punctuality, order, 
and neatness. Proper discipline is absolutely essential to efficiency. 
It should be remembered that the Siurvey is judged generally 
throughout the coimtry by its field representatives, and they should 
do it credit in personal appearance as well as in other ways. 

A United States flag and a Survey pennant must be displayed over 
each camp. 

Camp sites should be carefully selected and the tents arranged in 

de&u'te order and not at random. Wagons and other vehicles should 

*^ parked on one side: Harness, saddles, etc., should be kept off 



MANAGEMENT OF FIELD PARTIES. 1 7 

the groirnd and either hung on racks or placed in the wagons. Ani- 
mals should be corralled at sufficient distance from the tents to 
prevent them from interfering with comfort and sanitation. The 
camp should be kept neat at all times; no loose articles, papers, or 
refuse should be allowed to litter the grounds. 

Topographers are by nature of their work called upon to sojourn 
in many different regions and to adapt themselves to changes of 
climate and environment. Their work frequently takes them to 
remote localities where medical aid is not readily obtainable, and it 
is therefore especially important that they should be personally 
familiar with and should habitually conform to the laws of hygiene 
and diet. It is especially important that all chiefs of party should 
be conversant with such matters, as it is a necessary part of their 
professional equipment. Promiscuous drinking from streams, faitoe 
to use boiled drinking water, carelessness in selecting camp sites, 
inadequate provision for the disposal of refuse, failure to observe 
sanitation in the arrangement of toilet facilities, insufficient screen- 
ing from flies, and failure to use mosquito netting in malarial districts 
are responsible for most of the sickness in camp. All chiefs of party 
should formulate sanitary regulations for camp administration 
adapted to the locality and should see that they are rigidly enforced. 

Typhoid-fever prevention. — Field men are more liable to contract 
typhoid fever than any other disease. It is therefore urged that 
everyone who has not already had that disease protect himself against 
it by inoculation with antityphoid serum or "vaccine" as prepared 
and administered by the United States Army. 

The experience of the United States and foreign armies proves 
conclusively that the vaccine is an almost infallible preventive of 
the fever and that its effects last for several years. 

Sufficient of the prophylactic for the complete treatment and a 
copy of instructions for its use may be obtained by any member of 
the field or office force of the United States Geological Svu^ey on 
official request addressed to the Director. It will be necessary for 
each person to employ at his own expense a physician to admin- 
ister the serum, which is given as hypodermic injections in the 
arm in three doses, lo days apart. 

66512 — 13 2 



1 8 INSTRUCTIONS TO TOPOGRAPHERS, 

Farmers' Bulletin No. 478 of the United States Department of 
Agriculture gives valuable data on the prevention of typhoid fever 
and the use of the prophylactic for its prevention. 

Entertaining persons in camp. — Chiefs of party and all other em- 
ployees of the Survey are cautioned, when on field duty, against 
entertaining in camp any persons, whether acquaintances, friends, 
or relatives, in a manner to interfere with public business. Instru- 
ments, outfit, and supplies are provided at Survey expense for offi- 
cial purposes only and should be used solely to advance official 
work. Members of the Survey are required to give their time and 
labor strictly to official business. 

Personal baggage. — The bulk and weight of camping outfits should 
be kept as low as is compatible with comfort. To this end, personal 
baggage should consist of essentials only. It should be carried in 
canvas bags chiefly, and in pack outfits is limited to one bag for 
each man. Trunks should not be taken to camp, except where they 
may be readily transported by rail. Each man is expected to fur- 
nish his own bedding and canvas bed cover. Folding cots are fur- 
nished for permanent employees only. Mattresses are too cumber- 
some for convenient transportation, and should not be used. 

CAMP EQUIPAGE. 

In order to facilitate field work in regions where camping is neces- 
sary or desirable, parties will be furnished with complete camp 
equipage, including tents, stoves, camp fumittue, mess and cooking 
outfits, as well as means of transportation, such as wagons and other 
vehicles, harness, riding saddles, packsaddles, and necessary acces- 
sories. 

Care of public property. — Chiefs of party will be held strictly re- 
sponsible for the public property intrusted to their care and are 
expected to see that it receives no rougher usage than conditions 
necessitate. They should instill their men with a feeling of respon- 
sibility for the property and induce them to take pride in keeping 
it in good serviceable condition. As wear results mostly from care- 
lessness in packing, loading, and transporting when camp is moved, 
party chiefs should take pains to instruct their assistants as to proper 



MANAGEMENT OF FIELD PARTIES. 1 9 

methods. Tents should receive particular care in transportation, for 
the best of them may be worn through or rendered leaky by a few 
hours' chafing against boxes or wagon bed. They should, therefore, 
be loaded with care, and should never be transported without being 
wrapped in some protective covering; the heavy tarpaulins used for 
tent floors are convenient for this piu"pose. In transporting tents by 
pack train special pains must be taken to keep them from contact 
with the animal 's body, as they will be permanently ruined if per- 
meated by its sweat. 

Wagons and harness should be kept in repair. Wagons should be 
kept painted, as without such protective covering their woodwork, 
more especially that of the running gear, will not last. Harness 
should be oiled and blacked as frequently as is necessary to keep it 
in good condition. The teamster should be required to give proper 
attention to these details. 

Purchase of property in field. — Every article of property which 
appears on a voucher as having been purchased and which is not 
expendable must be accounted for on the returns of the custodian. 
In cooperative States such articles must be submitted for payment 
on a separate Federal voucher. Those in direct charge of property 
should be prepared at all times to make a statement to the custodian 
as to its condition and the amount on hand. 

Tents, wagons, and other property of considerable value should 
not be purchased without authority from the division geographer. 

Lost or stolen property. — When public property has been lost or 
stolen, without negligence on the part of its user, reasonable charges 
for recovering it are allowable. 

When field property is condemned or has been lost, a certificate 
to that effect, approved by the Director, must be furnished and filed 
with the custodian. 

STORAGE. 

Storerooms. — In arranging for the care of field property at the close 
of a season, efforts should be made to store it near a main line of 
railway, if possible in a brick building or other substantial structure. 

Storing and pasturing . — Storing is something more than mere stow- 
ing away in haphazard fashion ; it should be done with order ^xjA's^'s.- 



f 



20 INSTRUCTIONS TO TOPOGRAPHERS. 

tern. The materials should be placed in boxes, the boxes numbered, 
and lists made of the articles in each box. The boxes should be 
securely packed and nailed, so that, if necessary, they may be in 
condition to be shipped by rail. In the case of wagon outfits the 
Ixixes may be left (m the wagons ready to haul away. Precautions 
must be taken to protect the property against dampness and rodents. 
Tents, harness, blankets, etc., must be thoroughly dried before 
packing, otherwise they will be ruined by mildew. Axles of vehi- 
cles must be cleaned with coal oil and well covered with axle grease. 
Cooking utensils and tableware must be thoroughly cleaned and 
dried and must never be packed unwashed. 

No faod should be stored. 

Chiefs of party must exercise great care in selecting proper locali- 
ties and responsible caretakers for public animals to be placed in 
pasturage. Shelter, water, and character of forage, as well as the 
reliability of the caretaker, are the factors which should govern 
selection . All shoes should be removed and an inventory and a com- 
plete dcscrii)tion of all animals should be made before they are 
delivered to the caretaker. 

Signed agreements must be executed in triplicate with all persons 
taking charge of Government property. Two copies must be sent 
to the Survey in Washington and one retained by the caretaker. 
Similar agreements should be signed when animals are placed in 
pasturage. 

Employees will be held personally responsible for neglect to 
comply with these instructions. 

Inventories. — When nonexpendable propert}' is stored a detailed 
inventory, stating the condition of each article, must be made and 
forwarded to the chief geographer. Similarly, on withdrawing prop- 
erty for field use, each party must take an inventory of the same and 
promptly forward it to the chief geographer, with the date of with- 
drawal indicated. The last party to draw upon a storeroom should 
send to the division geographer an inventory of the material left 

An inventory or invoice, finally, of each shipment of property 
should be made in duplicate. One copy should be sent to the con- 
signee and another to the chief geographer. 



MANAGEMENT OF FIELD PARTIES. 21 

REPORTS OF FIELD PARTIES. 

A monthly report is required from each chief of party on the topo- 
graphic, primary control, or level work done under his direction; 
also, from each levelman in charge of an independent level party. 
Reports should be made out in duplicate and one copy sent to the 
chief geographer, the other to the division geographer; and it is 
absolutely essential that they be complete in every detail. They 
should be mailed not later than the 3d day of each month and 
should in no case reach the Washington office later than the 9th. 

The regular monthly form is to be used for topographic, triangula- 
tion, and level work. A separate sheet must be used for each quad- 
rangle and State, in order that the division geographers may be able 
accurately to apportion the cost of the work. Thus, where a party 
has worked on three quadrangles in one montli, the chief of party 
should apportion the amount of work and the cost among the three 
as nearly as practicable, for he can do this better than the division 
geographer. The total for the three should be accurate, though the 
details of each may necessarily be approximate. 

When a party is engaged in several classes of work, a separate dia- 
gram should be used for each. Thus one diagram should show the 
area controlled by plane-table or traverse (distinguishing between 
kinds of traverse); another, the area leveled; and a third, the area 
mapped. The work of the current month should be given most 
prominence on the diagram; preferably, it should be indicated in 
ink, different colors being used where necessarj-. Previous work 
should be indicated in pencil. 

A weekly report must be transmitted by each levelman and each 
field assistant doing traverse work to his immediate part>- chief, 
using the report blanks in card form that are provided for each class 
of work. As the data from these weekly reports are incorporated 
by the party chief into his monthly report, levelmen and field assist- 
ants should so time the sending of their last weekly report for each 
month as to avoid delaying the party chief's monthly report. 

An employment report stating the names of the field assistants of 
grades i and 2 employed, and the length of their sers'ice, is required 
from all party chiefs. This report is to be made out quarterly, during 



22 INSTRUCTIONS TO TOPOGRAPHERS. 

the field season; that is, on July i for the months of April, May, and 
June, and on October i for the months of July, August, and Septem- 
ber. During the remainder of the year it is to be made out monthly. 
One copy only, to be transmitted promptly at the close of the month 
to the chief geographer, is required. 

INSTRUMENTS. 

DELIVERY AND RETURH. 
REQUISITIONS. 

Threefold forms are provided for requisitions for instruments; 
these, when properly filled in and signed by the division geographer, 
are to be transmitted to the chief geographer. When the instruments 
called for are shipped, one of the three sheets is retained as the office 
record; the other two are sent to the consignee, who upon receipt of 
the shipment will sign and return to the custodian the second sheet, 
retaining the third for his own use. 

RESPONSIBILITY. 

All persons to whom Siu^ey instruments are issued will be held 
personally responsible for them and will be required to replace or 
repair loss or injuries resulting from carelessness. In case of loss, 
a certificate on the prop>er form must be furnished to the chief 
geographer. 

TRANSFER. 

When instruments are transferred from one employee to another, 
a threefold transfer card must be made out; one card must be sent to 
the chief geographer, another card mailed to the consignee, and the 
third card retained as a memorandum by the party transferring. It 
does not suffice merely to state the number and kind of instruments 
transferred. The list number stamped on each piece must also he given, 

RETURN OF INSTRUMENTS. 

When instruments are shipped to the office, a letter or card of noti- 
fication should be mailed to the Director, stating the number of 
bundles shipped and giving an invoice of the contents of each. Sv^h 
invoice is not complete without the numbers stamped on the instruments, 
^ facr should be attached to each instrument returned, listing defects 
rs needed. Special tags are provided lot \ivvs pMr^se. 



• INSTRUMENTS. 23 

TYPES OF INSTRUMENTS. 

LIST. 

The following instruments are kept in stock and will be supplied 
on requisition : 

Alidades. Bulgine, 12-inch ruler. 

Alidades, open sight, brass; length, 6, xo, and z8 inches. 

Alidades, open sight, Burkland type; on boxwood scales graduated to all field 

scales. 
Alidades, telescopic; length of ruler, x8 inches. 25 inches. 
Alidades, telescopic, with Beaman attachment. 
Alidades, telescopic, with micrometer eyepiece. 

Aneroids, graduated to altitudes of 3,000, 5,000. 10.000. 15,000. and 16.000 feet. 
Baldwin solar chart. 
Compasses, box. 
Compasses, pocket. 
Compasses, prismatic. 
Counters, hand. 

Dies, letters, and figures, standard size for bench-mark tablets. 
Glasses, field, for triangulation or level parties. 
Levels, circular. 
Levels, hand. 

Levels, plumbing, for New York rods. 
Ircvels, plumbing, for stadia rods. 
Levels, prism. 
Levels, Y, 20-inch. 
Levels, Y, is-inch. 
Odometers. 

Pins, marking, sets of 11, plain or loaded. 
Pins, turning point, for precise levels. 
Pins, turning point, for primary levels. 6-inch and lo-inch. 
Plane-table boards. 24 by 3 x inches (full size), with wooden or leather cases. 
Plane-table boards. z8 by 34 inches (half size), with wooden or leather cases. 
Plane-table boards, x 5 by 15 inches (traverse size), with oilcloth cases. 
Plane-table boards, 9 by 9 inches (for foot traverse). 
Rods, precise leveling, marked in yards. 
Rods, New York. 
Rods, Philadelphia. 
Rods, paper stadia. 
Scales, boxwood, graduated to 1/50, 1/80, and i/ioo inch: also 1:24.000. 1:31.680. 

1:48,000, 1:96,000, 1:125,000, and 1:240,000, in decimals of miles on one edge, in 

feet on the other; also 1:48,000. in decimals of miles on one edge, chains on 

the other. 
Scales, triangular, steel, for plotting geographic coordinates Oa't.v<.>afiSL^ 

longitude). 
Scribes, timber. 



24 INSTRUCTIONS TO TOPOGRAPHERS. 

Tapes, invar, 300 feet. 

Tapes, metallic, 50 and 25 feet. 

Tapes, steel, 300 feet. 

Tapes, steel, 100, 50, and 25 feet. 

Tapes, steel, 6 feet, pocket size. 

Theodolites, 8-inch micrometer. 

Thermometers. 

Transits. 

Transits, solar. 

Tripods, traverse, Bumstead type. 

Tripods, Johnson. 

Tripods, for levels, theodolites, transits, etc. 

CARE IN SPECIFICATION. 

General rule. — Pains should be taken to make requisitions distinct 
and specific, so there may be no doubt on the part of the custodian as 
to the class or type of instrument desired. When several types of 
instruments are available, the particular type desired should be 
clearly specified, and, if necessary, the use for which it is intended 
should be stated. 

Thus, in ordering open-sight alidades, specify whether the brass or 
the Biu-kland type is desired; if the former, state length of ruler; if 
the latter, state the scale. The vanes of the Burkland alidade are 
light and are readily fitted to any flat boxwood scale. 

Prismatic eyepieces. — Prismatic eyepieces can be supplied for any 
telescopic alidade if requested before the instrument is shipped from 
the office. 

Aneroids. — In ordering aneroids it should be remembered that 
they are easily strained and rendered unreliable if carried to alti- 
tudes much exceeding the limit for which they are graduated. It is 
wise to allow a liberal margin. 

Plane-table boards. — Plane-table boards 24 by 31 and 18 by 24 
inches will be provided with plates to fit the Johnson tripods. 

Traverse boards, — Traverse boards 15 by 15 inches may be had either 
with or without box compass attached; also with plates for either 
Johnson or Bumstead tripods. 

Exchangeable parts, — Extra parts for standard telescopic alidades 
are kept in stock and may be obtained on requisition. To insure 
proper fit the size of part and the number of instrument should be 
care/uJJy stated. 



INSTRUMENTS. 25 

Extra bubbles. — Each telescopic alidade, when issued, will be 
provided with an extra bubble for the striding level . Whenever this 
extra bubble is put into service on the instrument, requisition should 
be immediately made for a new one. Before inserting the extra 
bubble measure its over-all length and diameter, for these two 
dimensions must be specified in ordering the new one. 

Stadia rods, — ^A few stadia rods with standard saw-tooth gradua- 
tions are kept in stock at the Washington office for use by near-by 
parties not in camp. Photographs with specifications of the ap- 
proved style of rods will be supplied on request. The specifications 
are as follows: 

Rods are to be of clear, straight-grained, well-seasoned white or 
sugar pine, 4 inches wide, J/i inch thick, and 13.2 feet long, hinged 
at the 6.6-foot mark with two 4-inch strap hinges bolted or riveted in 
place. An extra handhold strip ^ by 3 by 27 inches is to be bolted 
to upper end so as to project 15 inches beyond rod when closed; the 
ends are to be protected with J^ by J^ inch strap iron screwed on. 
The entire rod to be painted with two coats of flat white paint, and 
to be subdivided by saw-tooth mark into tenths; the X-^oot marks 
being made -^ foot and the tenth marks 1^ foot in height. The 
even foot marks and figures are to be painted with scarlet vermilion 
flat paint; the other marks with black flat paint. Figures are to be 
2X tenths foot in height; V is to be used for 5 and X for 10; 6 is to be 
made with straight upper stem; 9 with curved stem. About -j^ 
foot from the top a piece of thick leather about X i^ch by 2 inches 
must be attached to keep painted faces from rubbing together when 
rod is closed. A 14-inch by >^-inch leather strap with buckle may 
be attached to back near bottom to hold the parts of rod in place 
when folded. If desired to fasten rod open, a plate staple may be 
bolted on the inside of the hand strip near its lower end so as to pro- 
ject through a slot in rod; a wooden pin through this will hold rod 
open. 

For some classes of work rods without hinges are to be preferred. 

Full-size paper prints of the stadia rod face will be furnished on 
request; these, when attached to a piece of board, with varnish 
make very serviceable rods. 

Plumbing levels should be used when necessary. 



26 INSTRUCTIONS TO TOPOGRAPHERS. 

ACCESSORY ARTICLES. 

LIST. 

In addition to the instruments listed on page 23, the following 
accessory articles may be obtained from the custodian. Requisi- 
tions for them must be kept separate from stationery requisitions, 
as the latter go to another division. (See also pp. 192-203.; 

Abridged nautical almanac. 

American ephemeris and nautical almanac. 

Bags, noteboc^. 

Bench-mark posts. 

Bench-mark tablets. 

Bench marks, temporary, copper nail and washer. 

Branding irons. 

Bubbles, level, extra. 

Cans, paint, with brush inserted. 

Canteens. 

Celluloid, white sheets. 15 by 15 inches, or z8 by 24 inches. 

Cement, in half-pint cans. 

Circular letters, regulations, and instructions. 

Cloth, tracing. 

Computation tables, logarithmic. 5 place and 7 place. 

Computation tables, natural sines and cosines. 

Computation tables, stadia. 

Computation tables, vertical angle elevations. 

Crayons (keel), red or blue. 

Drafting instruments, triangles, straightedges, ruling pens, plain dividers, 

spacing dividers, scales. 
Flags. United States, Survey ensign. 
Paper, plane-table, double-mounted (34 by 31 inches, 35 by 36 inches, and 18 

by 34 inches). 
Paper, plane-table, single-motmted, in rolls of xo yards, width 58 inches and 

73 inches, cut to plane-table sizes. 
Paper, tracing (vellum), in so-yard rolls, cut as wanted. 
Paper, tracing, in sheets, size 33 by 38 inches. 
Paraffin, i-pound cakes. 
Plaster of Paris. 
Rubber stamps. 
Shellac, liquid. 
Tapes, cloth, in 400-yard spools. 

BENCH-MARK POSTS OR TABLETS. 

IVhen ordering bench-mark posts or tablets to be used in ooopera- 
vorAr, the name of the cooperating State must be given, as such 



CARE OF INSTRUMENTS. 2/ 

mailcs ar« eqiecially stamped with the name of the State. The same 
style "Of tablet or post serves for triangulation stations, primary- 
tra^werse stations, and bench marks. 

CARE OF INSTRUMENTS. 

Too much emphasis can not be laid upon the importance of care 
in the handling and transportation of instruments. Every emplo3ree 
imtrttsted with instruments in the field will be expected to keep 
them clean and in adjustment, to protect them from imdue wear, 
and to return them to the custodian in fit order for use. 

CLEANING. 

General rule, — Instruments having working parts exposed to air 
and diist require cleaning from time to time. Such exposed parts as 
the threads of tangent screws and the cups of Johnson tripod heads 
are particularly liable to collect dust and grit and should be wiped 
frequently with an oily rag, then rubbed dr>'. 

Tapes. — Steel tapes should be cleaned and oiled after use. All 
moisttue or grit must be wiped from them each time they are reeled, 
or they will deteriorate rapidly. Special precautions must be taken 
in this regard in work on the seacoast or in semitropical regions of 
h^h humidity. 

Arts and verniers, — ^Most graduated arcs and verniers are made of 
silver and are therefore readily scratched and defaced. They 
should be cleaned by wiping lightly with chamois skin dipped in 
weak ammonia. A high polish on either an arc or a vernier is a dis- 
advantage rather than an advantage in reading. 

Telescope lenses. — ^The object glass and eyepiece of every telescope 
&oidd be periodically dusted with a camel's-hair brush or wiped 
wilh a piece of silk or soft tissue pai)er. They should never be 
rtibbed with rough cloth or with the fingers, as the glass may thus 
be (Knnanently scratched. 

Alcohol should not be used for cleaning object glasses, as it may 
penetrate between the lenses and dissolve the cement that holds 
them together. The lenses should never be removed from the cell 
that holds them nor separated from one another. 

PROTECTION. 

It should be a strict rule with everyone u?»\tv^ ^ <:avK^^iSB»\aX>&x 
the needle from the center pin immediaieXy ajlet use. \lixv.^^^ ^»si ox 



28 INSTRUCTIONS TO TOPOGRAPHERS. 

cumstances should a compass ever be carried from one station to 
another with the needle resting on the center pin. Party chiefs 
should lay special emphasis on this when instructing new field 
assistants. 

When in camp instruments, plane-table boards, tripods, and rods 
should never be allowed to ren^ain outside overnight, exposed to 
dew or rain. It should be the regular practice in every field party 
to place all instruments under shelter as soon as they are brought in 
at the end of the day. 

Pains should be taken to protect instruments from dampness or 
rain when in use. Cross wires in telescopes may sag when damp, 
and in that condition may introduce serious errors. Tripods and 
rods warp or twist and may acquire a permanent set. Though such 
wooden articles are usually well varnished or painted, some moisture 
will penetrate these coatings, and too much dependence should not 
be placed on their protective efficiency. 

TRANSPORTATION. 

Pack trains. — In mountains where pack trains are the sole means 
of conveyance the triangulator's outfit is most conveniently carried 
in a pair of canvas pack bags (alforjas), which must be properly 
balanced. The tripod, * umbrella, and wind screens should be 
placed lengthwise on top, lashed to the saddle, and further balanced 
by properly disposing them on either side of the center. A canvas 
pack cover should be thrown over the whole and tucked in on all 
sides. 

A plane-table outfit is best packed by hanging the plane-table in 
its wooden case on one side, flat against the animal, and balancing it 
with the alidade and other minor paraphernalia in a pack bag on the 
other; the tripod goes on top, lashed to the saddle, head forward. A 
leather or rope harness, with loops for hanging on the packsaddle, 
should be provided for the plane-table case. As with the triangula- 
tor's pack, a pack cover is a valuable protection. 

Judgment should be used in selecting the animal for the instrument 
pack. It need not be stout (for the pack is seldom heav}') but must 
be well broken, intelligent, and sure-footed. In difficult places the 



CARB OF INSTRUMENTS. 29 

judgment and coolness of the animal must largely be depended Uf)on; 
the more reliable the animal, therefore, the safer the pack. It is to 
be kept in mind that the instrument pack is the most important and 
valuable in the entire pack train; it should be constantly under the 
eye of a competent packer, and the animal bearing it should be led 
if necessary. 

Freight or express. — In shipping instruments by freight or express^ 
the following rules must be strictly obeyed : 

Telescopic alidades, spirit level, transit, and theodolite boxes 
must be filled in with paper or cloth, so that if any part of an instru- 
ment should jar loose during the journey, it may not roll around in 
the box and damage the others. No heavy articles, such as box 
compasses, aneroids, or other small instruments, should ever be 
inclosed. The micrometers of theodolites should be wrapped 
tightly with cloth, as they are easily jarred loose. The same pre- 
caution should be taken when these instruments are to be transported 
by pack train. 

On no accotmt should any of the above-mentioned instruments 
ever be shipped by express or freight in its own case only. A wooden 
box, large enough to permit a generous packing of excelsior, hay, or 
other padding, should always be provided. 

Level rods, besides being protected by their canvas covering, 
should have their targets and clamp screws protected with excelsior 
or other packing. Strapping them to a board helps materially to 
prevent them from being strained or bent in transport. Precise- 
level rods should not be shipped except in the box provided for them. 

Tripods should have their heads protected by sacking and by 
excelsior or hay packing. 

All instruments exceeding 4 pounds in weight should be shipped 
by express, or by freight when returning them to the office from 
distant points in large quantities, at the end of the field season. 
From points near Washington, express rates are about as cheap as 
freight. Small instruments which with packing weigh less than 
4 pounds should, as a rule, be sent by registered mail, sealed, as 
first-class matter. Domestic parcel-post rates do not apply to oflScial 
mail, dnd packages weighing more than 4 pounds can not be mailed 
by the Survey. 

According to deoiaion ot '^%>0T\).%r3 'iaA'^'^^' 

the weitf ht limit of omo\©.\ TCi%.\\ ^©^"^ \i»S^«^ 

tanked )ab«l is raiBeA fvoin ^ ^.^^.^^ x^o-^-^^^ 



30 INSTRUCTIONS TO TOPOGRAPHERS. 

ADJUSTBCBRT OF ntSTRUMSNTS. 

PRECAUTIONS. 

The object glasses and eyepieces of all instruments must be piO|>- 
erly focused. The cross wires projected against a distant object 
should appear immovable when the eye only is moved. Befoce the 
adjustments are commenced the instruments must be finnly set up 
and leveled. An instrument may at times appear to be out oC ad- 
justment because some part is loose. The object glass may be 
partly unscrewed or an adjusting screw may be only partly tightened. 
Level bubbles or cross wires occasionally become loosened; there- 
fore, before commencing the adjustment of an instrument look out 
for such defects. X^lien it is thought that an adjustment has been 
completed, always test it before using the instrument. All adjusting 
screws should be screwed tight enough to hold, yet not so tight as 
to injure the threads or put a severe strain on any other part. 
Especial care should be taken not to strain the cross-wire screws. Ad- 
justments should be made in the order given, for some adjustments 
depend on the acctu'acy of others previously made, and a change in 
any one may affect the others. 

GENERAL ADJUSTMENTS. 

Setting of bubbles. — For setting level bubbles a small supply of 
plaster of Paris should be kept on hand. For use the plaster should 
be mixed with water to the consistency of a thick paste. If plaster 
is lacking, strips of paper may be used, but these should never be 
jammed ia very tight, as the pressure may distort the glass and thus 
vitiate the bubble reading by an appreciable amotmt. A reflecting 
surface of colored paper should be placed under the bubble in order 
to make the graduations more readable; a subdued green or blue 
tint is recommended. 

Mounting of cross wires. — For mounting cross w^ires a small bottle 
containing shellac dissolved in alcohol, a pinch of beeswax, and a 
pair of dividers or a forked stick are needed. The best spider web is, 
of course, a freshly spun one from a small spider, for this will be both 
clean and elastic; but as spiders are not always available, it is 
Hv// to keep on hand a spider cocoon. Such a cocoon will furnish 



ADJUSTMENT OF INSTRUMENTS. 3 1 

webs enough to last for years, although with age the threads become 
stiff and brittle and therefore more liable to break from a jar to the 
instrument. Most webs taken from grass or bushes are rough, coarse, 
and dirty. The most convenient way to prepare a web is as follows: 

To draw the reticule from the instrument, unscrew and remove 
the eyepiece slide; then take out two opposite capstan-headed 
screws and loosen the other two. Using the latter two as handles, 
revolve the cross- wire ring 90**, insert a pointed stick through the 
end of the telescope tube into a screw hole in the ring, and, using it 
as a handle, remove the other capstan screws and draw out the ring. 
To replace it in the telescope, reverse this procediu-e. When in 
place, the cross wires should be on the side of the ring toward the 
eyepiece. 

Having pressed a bit of beeswax to each prong of the dividers or 
forked stick, let a small web fall from the end of one of the prongs, 
or pick with it from a cocoon a single thread, pressing the thread into 
the beeswax, stretch the thread moderately, and attach to the wax 
on the other prong. If an old web is used, it should first be damp- 
ened by dipping in water for a few seconds. In place of the dividers 
or forked stick, small sticks or lumps of wax may be attached to the 
web about 2 inches apart. Place the web across the reticule, using 
a magnifier to insure its coinciding exactly with the marked lines. 
Put a small drop of shellac on each end and leave until dry. 

Instruments such as the prism level, dumpy level, and transit, 
which are not provided with wyes or similar devices for adjusting 
the cross wires, may be put in close adjustment by means of impro- 
vised wooden or metal rings. 

For the prism level, the body of which has a cloth finish, remove 
the object-glass cap and run the eyepiece slide part way out as though 
focusing for a near-by object. Provide a Y of wood or metal large 
enough to go over the object-glass end of the telescope where the cap 
usually fits. Take a second Y of a size suitable to inclose the eye- 
piece slide near the main telescope tube. Fasten these Ys securely 
to a box or some other object, rest the telescope in them, and sight a 
distant point cut by the cross wires; revolve the telescope and adjust 
the cross wires in the usual way. A final adjustment must be made 
for such instrumeats as this by the regular met\vod^. i^^ "^^ - "iiV^N 
and 96.) 



32 INSTRUCTIONS TO TOPOGRAPHERS. 

Some instruments, such as Y levels, have eyepiece slides separate 
from the telescope tube which must be adjusted independentlv of 
each other. After the cross wires are adjusted, center the eyepiece 
on them by tiuning the four screws under tl:e cover, adjusting by 
estimation only, an exact centering not being necessar\'. 

TELESCOPIC ALIDADE. 

But two adjustments are ordinarily required for the telescopic 
alidade — ^for level and for coUimation^ These should be tested dail}-. 

Level. — Clamp the telescope, bring the bubble to the center of the 
tube with the tangent screw, lift up the level carefully, reverse, and 
replace it on the telescope. If the bubble runs away from the center, 
bring it halfway back by means of the tangent screw and the other 
half by the adjusting screw imder the end of the level tube. Repeat 
this operation till the bubble stays in the center after reversal. 

Collimaiion. — Test the verticality of the vertical wire by raising 
and lowering one end of the telescope, the cross wires having been 
set on a near-by point; loosen the screws and twist the cross- wire 
ring if necessary, or by a slight shift in the position of the cross- 
wire ring make the vertical wire parallel to the vertical comer of a 
building or a pltmib line. Point the telescope on a small but well- 
defined object about half a mile distant, and while watching this 
through the telescope revolve the telescope i8o° in its supporting 
sleeve. If the intersection of the cross wires remains centered on 
the object, the adjustment is perfect; if not, change the cross wires 
for half the error and repeat the operation until they stay on the 
point selected. 

Ruler. — So long as but a single alidade and but one edge of the 
ruler are used, it makes no difference in the results whether the edge 
of the ruler is parallel to the line of sight or not, except for use with 
the Baldwin solar chart, when a correction must be applied if 
appreciable. (See p. 128.) 

Y LEVEL. 

All instrumental errors of the Y level can be eliminated by exactly 
equalizing fore and back sights, but as this is seldom possible the 
e of coJJimation and the level should be kept as nearly in adjust- 
t as practicable. 



ApjUSTMENT OF INSTRUMENTS. 33 

Collimation. — Having the instrument carefully leveled, note ^ 
ssfMll object about 300 feet distant that one end of a honzfrntad ccojss 
wire touches, turn the instrument on its vertical axis a few degrees, 
a^vt note whether the pther end of the cross wire cuts the point; if it 
does and the Ys are not badly out of adjustment, the wire is horizontal. 
With the clips up, focus on a small object 300 or 400 feet dista^^t; 
watcji this through the telescope while revolving it 180^ in the Ys; 
i^ the iatersectipn of the cross wires moves away from the ppiiit> 
bring it halfway back by means of the cross- wire adj.usting screws; 
repeat the test and adjustment until there is no movement of the 
cross wires away from the point. 

Jj^el. — ijaving the instrument carefully leveled, loosep the clips, 
lifjt the telescope out of the Ys, reverse it end for end, and replace it 
in the Ys; if the level bubble has moved away from the center, brii}|; 
it Jjajfway back by means of the adjusting screws at oije en4 of ^he 
level tube and the other half by the lower leveling screws. Repeat 
this operation until the adjustment is perfect. With the bubble in 
tlje centef, rock the telescope back and forth in the Ys about 25° 
a]'Qun4 its axis; if the bubble moves away from the center, bring it 
b^ck with the side adjusting screws. 

Object-glass slide. — It is seldom necessary to adjust the object-glasj 
slide, as it is usually fixed by the maker, but when required make 
the collimation adjustment as above described ; then an error in the 
adjustment of the slide will appear as an error of collimation when 
tested on a near-by point, say 50 feet distant. To correct the error 
remove the ring near the middle of the telescope and with a screw 
driver turn the screws found underneath so as to bring the cross- wire 
intersection halfway back to the near-by point selected. 

Eyepiece slide. — The adjustment of the eyepiece tube so that the 
ciiQSS wires will appear in the center of the field, though not essential 
to the accuracy of the work, may be ejffected by means oi the screws 
tuEulemeath the ring just back of the cross-wire screws. Iposen one 
and tighten the opposite one of these screws with a screw dfiv^f 
until the wires appear centered. 

Ys. — After each of the foregoing adjustments have been mafjle* 
the adjustment of the Ys is made liy turning the telescope and level 
66512—13 — ^3 



34 INSTRUCTIONS TO . TOPOGRAPHERS. 

i8o° on its vertical axis; if the level bubble, which was at first in the 
center, moves away from it, bring it halfway back by changing the 
large nuts under one Y. 

" Pey method/' — In the ordinary Y-level adjustment it is assumed 
that the two rings on the telescope tube which rest in the Ys are 
circular and exactly equal by construction. 

The level and line of collimation can be made parallel independ- 
ently of the rings and Ys by the "peg method" described under the 
heading "Prism level'* (p. 96). 

LOCKE LEVEL. 

The adjustment of the hand level, or Locke level, is most easily 
tested by sighting along a horizontal line determined by a Y level 
or alidade, but when no such line is available a modified form of the 
"peg method" must be used. Hold the level on a fixed point and 
sight a second point 300 or 400 feet distant which appears by the level 
being tested to have the same elevation as this point. Take the 
level to the second point and with the bubble centered over the cross 
wire sight the first point; if it appears to be on the horizontal line, 
the level is in adjustment; if not, correct for one-half the difference 
by turning the small screw at one end of the level box. 

ROD LEVEL. 

The leveling or stadia rod to which levels are attached should be 
carefully plumbed with string and plumb bob. The level bubbles 
should then be brought to the centers by means of the proper adjust- 
ing screws. 

TRANSIT. 

Plate levels. — With lower plate clamped and upper plate loose, level 
carefully; revolve the instrument 180° on its vertical axis and bring 
each level bubble halfway back to the center of the tube by means 
of the screw at one end. 

Collimation. — Level carefully, sight on a point about 500 feet 
distant, raise or lower the telescope slightly, and note whether the 
vertical wire remains on the point; if not, loosen the capstan-headed 
and turn the cross-wire ring till the vertical wire will remain 



^ 



.«y^rv»i«r 



ADJUSTMENT OF INSTRUMENTS. 35 

on the point when the telescope is raised or lowered. Clamp the 
instrument, set the vertical wire so that it cuts the point selected, 
transit the telescope by revolving it i8o° on its horizontal axis, and 
select a second point 500 feet distant in the opposite direction from 
the first. Unclamp the upper plate, turn the transit 180° on the 
vertical axis, set it on the point first selected, and again clamp the 
plate. Transit the telescope, and if the vertical cross wire exactly 
bisects the second point its adjustment is perfect; if it does not, 
bring it one-quarter of the way back to the second point by turning 
the two capstan-headed screws on the sides of the telescope. 

Standards. — Set up the transit near a tall building or other high 
object; after leveling carefully, point the telescope so that the vertical 
wire intersects a definite point about 60° above the horizontal, 
depress the telescope and select a Second point near the ground. 
Unclamp the upper plate, revolve the telescope and plate 180° on 
the vertical axis, clamp the plate with the vertical wire again cutting 
the upper point, and depress the telescope; if the cross wire inter- 
sects the lower point, the standards are in adjustment; if it does not, 
correct for one-half the error by the screw underneath one end of the 
telescope axis. 

Object-glass slide. — If an adjustment for the telescope object-glass 
slide is possible, it is made as follows: First make the coUimation 
adjustment for a point about 300 feet distant, then focus on a point 
1,000 feet or more distant and again on a point only 10 or 15 feet away, 
transit the telescope, unclamp the plate, tiun it 180° on the vertical 
axis, and reclamp. If the cross wire still cuts the distant and near 
points the slide is in perfect adjustment, but if it does not, correct 
half the error by means of the side screws which hold the slide ring 
in place. Next repeat the regular coUimation adjustment and again 
test for the slide error; repeat both adjustments until no errors appear. 

Eyepiece tube. — ^The eyepiece may be put into position over the 
cross wires by ttuning the screws which hold the eyepiece ring tmtil 
the cross wires appear in the center of the field; an exact centering 
is not required. 

Telescope level. — If there is a level attached to the telescope it may 
be adjtisted by the "peg method** after all the other ad\usfcDD«s!&&'asfc 
made, as follows: Level the transit andbTm%\k<t\i>3Ja\i\t\a^5iEv^^^is^^ 



3i6 rxsTEucnoNS to totogbafbeks^ 

ol the tabc coder Uic icksQope. Take a readai^ on a Icvdii^ lod or 
pole ^oo<7r 400 icct disuaA, vldch is WdoK « stake set findj in the 
pocdd. Rrvofirc the Uaasit i%ai^ on the Tccfeical sns and after 
bffiasnif the buhfale to the coBSer act a anonl stake at fht 
distance at the §nt and at tpdh aneleratian that the rod or 
pole icadins » the nine as on the icat stake. The teps of tiie tna 
tfakcs will then be at tiw sane elmtioaL Move ^e tianBt 25 gt 5s 
feet back oC one stake and on a line nidi the odter. Mbke the telc^ 

scope as nearly hotiaonlai as poasAife by means of the sttnched level, 
clamp it, and then take a leading oft the nd hekl on the near atake 
and another reading on the distant stake. If the tno lendrnga s^iee 
the telescope is horiao nt al; if they do not agree tnm the tangrat 

soew so as to bring the csoBS wire while set on the distandt nd neviy 
to an agreement; repesi the ope ra tion till an agrecnwnt is reached. 
The telescope is then level and the adjnsting auls si the end of ths 
level tube should be turned till the bid>ble is btonglit In the center. 
Vertical circle or <mc. — ^The screws holding the Temier lor the 
vertical arc should now be l oosene d and the Temier mofved yyyt*! 
the reading is 0° while the telescope is still level. 

THSODOUTS. 

Striding 2rtv/.— Place the levri in the proper position on the 
telescope axis. Level carefully with the horiaontal plates clamped 
and lock the level slowly back and forth till the foot pieces steike. 
If the bubble leaves the center, bring it back by means of the side 
adjustii^ screws near one end of the tube. 

Reverse the level and bring the bubble halfway back to the center 
by raising or lowering one end of the tube with the screw at that end, 
and the other half with the leveling screws. Repeat these operations 
till the adjustment is perfect. 

Standards.— -After the striding level is in adjustment with the 
lower horizontal circle clamped, level the instrument in two positioBS 
4t 90* from each other. Turn on the vertical axis 180® from one 
position; if the bubble runs away from the center bring it halfway 
back by loosening one of the large capstan-headed screws underneath 
the Mtaadards and tightening the other. Test the adjustment and 
itepeat it if necessary. 



At>jUSTMeNT OF THEbEk>LlTE. 3f 

Plate levels. — Level itistruttient with the striding level only, theti 
bring the bubbles of the plate levels to the center of their tubes by 
ttiesois of the end adjusting screws; or the method described fbr 
adjusting the transit plate levels may be used for the theodolite alst>. 

Micrometers. — Each micrometer consists of three concentric tubes; 
the upper and lower ones slide in the central one. The lower tube, 
which holds the object lens when in proper position, is clamped td 
the middle one by means of the capstan-headed screw in the lo^et 
part of the ]-shaped support. These two tubes may be moved 
together or the lower one moved alone by loosening the proper screws. 
The upper tube contains the eyepiece lenses and is held in place by 
friction only. 

Focus the eyepiece on the two parallel movable threads and do not 
change it afterwards. With the eye in position for setting the 
micrometer, tighten one and loosen the other of the two screws that 
liold the ]-shaped microscope support to the main frame of the 
theodolite, until the figures and graduations on the plate appear to 
be in the center of the field. 

Clamp the plate and by turning the micrometer screw set the two 
movable threads over a long graduation. Examine carefully to see 
whether they appear exactly parallel to it. If they are not parallel, 
loosen the two capstan-headed screws which clamp the micrometer 
tube and twist the tube until the threads and mark appear parallel. 
Clamp the side screws lightly. 

Set the movable cross wires on a division to the apparent left of the 
field of view as for a regular angle reading; read the micrometer head 
aud record the reading. Turn the graduated head about five turns, 
gtopping when the threads are set on the next lo'' division to the right; 
fead and record. Repeat this operation several times. If the meail 
of the left-hand readings is the same as the mean of the right-haiid 
readings, or within cme division c5f it, the adjustment may be accepted 
as satisfactory. Afi actual count of full revolutions should be made 
at least once; otherwise the adjustment might wrongly be thought 
perfect for 4}^ or 5X te volutions. 

When the space covered by the two parallel micrometer threads, 
firioived by exactly five rcvolutious of the micrometer screw, appears 
to be longer than one 10'' space on the 9;caud\i^<&^ cvxcX^, Vi'^'^^^^V'^ 



38 INSTRUCTIONS TO TOPOGRAPHERS. 

into adjustment make the distance between the micrometer box and 
graduated plate longer by raising the middle part of the tube; but 
when the space is shorter than a lo^ space make that distance shorter 
also — ^that is, consider as connected or dependent the length of the 
thread space covered by an even five revolutions of the micrometer 
screw and the distance between the micrometer box and the gradu- 
ated plate. When the former is longer than it should be, the latter 
should be made longer, if an adjustment is desired, and vice versa. 

To make the adjustment, loosen the small capstan-headed screws 
which clamp the microscope tube; then, if the thread space is long, 
twist the middle part of the tube (including the micrometer box) 
back and forth and at the same time pull it upward, thus lengthening 
the distance to the graduated plate. When by estimation it has 
moved far enough, which can be roughly determined by the amount 
of blurring that results from the lower lens being thrown out of focus, 
clamp the upper capstan-headed screw. The lower part of the micro- 
scope tube holding the objective lens must now be twisted and gently 
pushed downward till the graduations again appear in focus. If the 
movable threads and graduations are not then parallel, the upper 
screw must be again loosened and the tube turned far enough to make 
them parallel, after which both screws must be tightened. Test the 
adjustment by again measuring a lo^ space with the micrometer. If 
it is still out of adjustment, repea^ these operations till it is satisfac- 
tory. When the adjustment has been completed, a scratch may be 
made on the tube below each support and used as a guide in future 
adjustments. 

The opposite micrometers may be placed i8o° apart by setting one 
at a reading of o° c/ c/\ with the comb scale exactly centered. Then 
center the comb scale of the other micrometer over the i8o° mark by 
means of the capstan-headed screw at the left-hand end of its box. 
Bring the micrometer threads over the i8o° mark also; then, while 
holding the screw firmly in place, turn the graduated ring till it reads 
zero. 

When setting the micrometer wires on a graduation, it is very 

important that they be moving toward the right when the turning of 

the screw is stopped. Should they be moved the least bit too far to 

the r/jgrht, turn back not less than half a revolution of the screw and 



SUGGESTIONS TO COMPUTERS. 39 

then bring them forward again. In general, when a setting is made 
by means of a screw working against a spring, the spring should 
always be undergoing compression when the motion stops. 

Cross wires, — ^The vertical wire should be truly vertical ; otherwise 
an exact adjustment of the cross wires is not essential . 

After the striding level has been adjusted and the horizontal axis 
of the telescope carefully leveled, sight a distant point, raise and 
lower the telescope through an angle of 5° or io°, and note whether 
the cross wires follow the point. If not, loosen the cross-wire ring 
and twist slightly; repeat the adjustment if necessary. 

Hold the striding level on the telescope parallel to the optical axis 
and, with the bubble in the center of the tube, set the intersection 
of the cross wires on a distant point and clamp both plates; lift the 
telescope out of its supports and turn 180° around its optical axis; 
set it again on the selected point. If the striding level when placed 
on top of the telescope is horizontal and the vertical wire still cuts 
the point, the adjustment is complete. If not, shift the cross wires 
in either direction by means of the capstan-headed screws for one- 
half the apparent error. Repeat the test till the error is nearly all 
eliminated. Finally readjust the vertical wire, if necessary; or both 
wires may be put in place by means of temporary wooden Y supports, 
as explained on page 31. 

SUGGESTIONS TO COMPUTERS. 

Do not crowd your work; paper is cheap. 

Do your work in a systematic manner. If it permits tabular 
arrangement, always use the forms approved by other computers 
imless you can convince them that yoiu^s are better. The Survey 
has printed forms for many purposes; these should be used whenever 
possible, for by their use the work is made more mechanical, and the 
more mechanically the work is done the less chance there is of error. 

A computer who is inexperienced or out of practice should check 
his work in every way possible. He should check logarithms either 
of numbers or of circular functions by using first a tabular value for 
a quantity less than the given one and then a greater tabular value, 
so that the differences in one case may be added and in the other 
subtracted. This operation may be reversfed >nVv^ti \?cvfe Vi'^^<^^^£^^sv 
is given and numbers or angles are required. 



40 INSTRUCTIONS TO TOPOGRAPHERS. 

Many errofs are made by faking out the first tHttt figures of a 
logairithni frota the wrohg line Where a dash over the fourth 6gufe 
indicates that th^ first three should come ffbm a lower line. 

As the algebraic signs of eoSiries ahd sines are so fret[ueritly Re- 
quired, the rules governing them should be firmly fixed in the mind; 
as an aid to this remember the general rule that distances measured 
Upward or to the right on the conventional plat of the quadrants of 
tlie circle are considered positive, others negative. The wrong trge 
di signs l^ a very commbh source of error. 

Where the function of an ^gle over g6*^ is desired, instead of sub- 
tracting 90** or iyd° ftoin the angle to find the argument, add the 
%tires in the tens and htmdreds of degrees places together and pre- 
fix the suin to the unit degree figu^, dropping the sum if it is 9. 
thus 121° gives 1+2=3, ^^^ 31° ^s the argument; 184° gives 
i+8=9, drop it, leaving 4° for the argument; 290° gives 9+2=11, 
dtop 9 ftom the 11 or add the two figufxis a sedond time, giving an 
^irgiinient of 20°. 

Bach step in a long computatioh, if it is hot at once automatically 
checked, should be checked by repeatihg the computation. 

Check the copying of angles, distances, etc., takefi from adjusted 
results for use in new computations; also check figures carried ffoiti 
page to page. 

Gross errors are sometimes made by using the sine when a cosine 
is required, or by writing a product in the wrong column, as east for 
west in primary traverse computations. 

Placing the decimal point in the wrong place is a common mistake. 
This may in many cases be corrected by a mere inspection of the 
quantity to see whether it appears of proper value. 

Good judgment should be exercised in the degree of accuracy 
sought for a given result. For the preliminary computation of 
geodetic positions, for example, six-place logarithms will probably 
suffice; these can be taken from a seven-place table with only a 
rough interpolation. A four-place logarithm can often be used to 
advantage. The accuracy of the results obtained should equal the 
requirements; more than this involves a waste of time. 

TTie loot, yard, and mile are the tmits adopted for all Geological 
""y Held work, but for geodetic computations meters are used. 



SUGGESTIONS TO COMPUTERS. 4I 

The best conversion tables for metric and English measures are 
those published by the Bureau of Standards, edition of 1910. In 
using these all changes from one system to another should be checked 
by reversing the operation. The logarithms for the interchange of 
these measures are given in "Geographic tables and formulas," ^ 
page 301. 

When computers are duplicating work and a difference is found, 
e&ch should recompute the result before correcting either, as errors 
have frequently been made by changing the correct figures. 

When two persons are comparing a copy with the original, if the 
reader occasionally calls out a wrong figure or word intentionally 
and notes whether the error is caught up, it tends to keep the listefier 
more intent on the work. 



* Bull. tJ. S. Geol. Survey No. 234, 1904, t>. 296. 



PBIMABY OMITRGU 
GEHERAL COHDITIOHS. 

The btmndsuy lines of all regular United States Geological Survey 
maps are parallels of latitude and meridians of longitude. In order 
that these shall be pcoperty located and that intermediate points shall 
be placed in correct positions, some S3rstem of horizontal control is 
required. The method to be adopted for linear control shoidd be 
fixed by the character of the country-, the requirement being that 
all control work shall be so accurate that no errors will be apparent 
in maps several times as large as those to be published. In moun- 
t^nous regions or in hilly, partly timbered areas horizontal control 
is effected by a system of triangulation, the whole area being divided 
up into triangles whose apexes are represented by stations established 
on prominent points several miles apart. The angles between each 
station and all others visible from it are carefully measured with a 
theodolite graduated to read angles by micrometer to two seconds of 
arc or by estimation to fifths of a second. One side of one oi the tri- 
angles, called the base line, must be carefully measured with a steel 
tape, account being taken of slope of the line, elevation above sea, 
temperattu'e of the tape, and other essential details, and for at least 
one station the exact latitude and longitude and also the azimuth of 
one of the lines must be determined by astronomic observations. 

In heavily timbered areas, where it is diflScult to see from any point 
more than a mile or two in any direction, horizontal control is best 
obtained from distances actually measured on the grotmd with a 
300-foot steel tape, a record being made of angles measured with a 
transit at each bend in the line. Such control, called primary trav- 
erse, must begin and end at points whose positions have been 
previously determined and must be carried around the edge of each 
quadrangle and once across its center east and west. 

Because of the great expense involved in base-line measurements 
arrd the fixing of astronomic positions, it is generally advisable to 
42 



TRIANGULATION FIELD WORK. 43 

connect triangulation systems or traverse lines with positions pre- 
viously determined, even though they may be a long distance away. 
There are now but few localities in the United States that can not 
conveniently be connected with known positions and distances, and 
therefore, before horizontal control work is begim, the records of the 
Coast and Geodetic Survey, the Lake Survey, the United States 
Army Engineers, and other Government organizations should be 
examined in order to ascertain what positions in the area surveyed 
have been determined and are available for use in the work on hand. 
The results of triangulation or primary traverse by the Geological 
Survey can always be obtained by anyone having occasion to use 
them by applying to the Director, United States Geological Survey, 
Washington, I?. C. 

PRIMARY TRIANGULATION. 

FIELD WORK. 

PERSONNEL AND OUTFIT OF PARTY. 

Each party usually consists of a chief of party, who acts as observer, 
and a recorder; also a cook and a teamster (or packer) when camping 
is necessary. Additional men are required for heliotroping, one for 
each heliotrope station, and local laborers may be employed to clear 
timbered summits or to erect large signals. 

The following instruments and books are used in primary triangu- 
lation: 

One S-inch theodolite, with leather carrying case and shoulder straps. 

Two i>airs field glasses. 

One prismatic compass. ' 

One protractor (6-inch celluloid, full circle). 

One boxwood scale, graduated to inches and tenths. 

One 50-loot steel tape, meters on back. 

Two electric hand lamps. 

One 6-foot steel tape. 

Heliotropes. 

One plumb bob. 

Triangulation tablets or i)osts, according to requirements of country. 

Cement, cans. 

Signal notices, printed on cloth. 

Climbing irons, for use in wooded regions. 



44 INSTRUCTIONS TO TOPCteRAPHlSRS. 

sua. tanbreUalFor use in r^ions wliere iatpMvis«d Sim tiiad wind shelters 

Wind screeh j cftn not readily be built. 

Triangulation field note? (9-912). 

C6hii}iitation of geodetic distances (9-901). 

Comtnitation of geodetic coordinates (9-903). 

Commutation book, blank (9-9S9). 

Nautical almanac (abridged). 

Geographic tables and formulas. 

Seven-place logarithm tables. 

A iood Watch must be provided by the chief of party. 

iTie following additional articles may be purchased in the field; 
Ax, hatchet, saw, nails, tacks, signal cloth, guy wire, stone drills 
(i)^-inch bit), drill hammer, post-hole digger, wire cutter, brace 
and bits. 

PREPARATORY WORK. 

Amount of control. — At least three serviceable stations must be 
established in each quadrangle aiid as many more as may be nee 
essary to afford adequate control. In addition, a number of sec- 
ondary points — siich as church spires, wiildmills, water tanks, trees, 
and in high mountain regions some of the more prominent summits — 
tQust be located by intersection and checked by angles trom one or 
fibre stations or by the " three-jxjint method.*' Where no siich 
dejects afe available, at least two points should be flagged tot ifitet- 
^ctiok if practicable. These poiiits are ilitended to affbrd siipijl^- 
mental control for the topographer and should be selected wttii 
spet^lal refetehce to the it usefulness in that cohliectiori. 

The observer is also expected to locate, when practicable, eith^f 
by direct measurement from his stations or by the three-point 
method, conspicuous objects, marks on State and county boundary 
lines, and township and section comers. Especial attention should 
be given to township and section comers because of their recognized 
value in the control of the land-line net. 

Reconnaissance. — Stations should be selected and signals built 

before any observing is done , and to this end the triangulator and his 

assistant should make a reconnaissance over the area to be controlled. 

Such reconnaissance should disclose evefy practical scheme of trian- 

£Ti)at'ion, the angles at each point selected being mea^uted with a 

/prismatic compass and platted with the protractor so that the size and 



pfopprtipns oi the figures may ]be ascertained . All preparatory i^tqfk , 
SNcb 9S tbe setting ctf tablets axid posts, the erectly of sign^s 994 
aca|Eol<ls, the cl<sarui^ of lin^ gl sight, and the securing ooo^eiit of 
owner if on private Iw^* should b^ completed during this reooa;- 
Q^ss^ce, sp th^jt tl^ ^aal ot^aerviug may be performed with e«)0i»* 
pmy aiiAd disi>atch. The rjeopujaaissance afords the trianguhrtOT 
Qpportui^ty l¥» ^qu^iftt himself with the ^prtes^t rput^s of ti;»yel> 
th& best stopping i^j^ces, i^e available c^mp sites, w^ter \^fi^, 
|i^Ui:e3, au4 ifV\»* ?p4 ^ ^^ routes fosr Sjcalipg each p^ak t» ln^ 
occupied: ?nd it ^n^bl^ him to gain a fi^miliarity with th^ sp^<M 
character of e9^)i sta^tipn a^d its signal which will be iny^naj[)h$ tx) 
him in ident^ying the points wh^n he eights them l^ter on. A9 
station nam^S ^re to be published, efforts ^ould be made to seli^ct 
those which have local significance. 

Figures. — ^The most desirable groups of triangles consist of either 
quadrilaterals with both diagonals sighted or central point figvm 
with four to ^(^ven sides. The triangles composing these dgUT!^ 
sfips^ld be well proportioned, angles me^uring not l^ss than 50^ 
nor mpre th^ 120^ each. The scheme should not be allowed to 
dwindle down to simple, unsupported triangles, and especial car^s 
should be t^k^n to connect the work done with other work by means 
of well-proportioned triangles. Overlapping figures or an exeeas 
of observed lines beyond those necessary to insure a double deter- 
mination of each length are undesirable, although a diagonal through 
some figure may occasionally be valuable as a check. Additional 
lines of this kind only complicate the main scheme without mate- 
rially adding to its strength, and the numerous observations made lot 
them are discarded by the computers as superfluous. Judgment is 
to be used in this matter, however, for in many regions the atmos- 
pheric conditions are exceedingly uncertain and the observer qan 
not always count on being able to see in both directions over every 
line that may be essential to the main scheme. In such regions it i^ 
well to err on the safe side and to obtain too many data rather than 
too few. 

Angles should be read to all prominent points outside of the are.i| 
for use in future expansion, even though they are witl\o>\\. ^^^g^s^^ 
or are not sharply defined. 



46 INSTRUCTIONS TO TOPOGRAPHERS. 

Secondary points. — In cutting in secondary points for topographic 
control it should be remembered that locations which depend on 
two sights only, even if the angles are of adequate size, are likely to 
be of doubtful value, because of the absence of any check on possible 
gross errors in observing or computing, or because of mistakes in the 
identification of the points. An endeavor should therefore be made 
to obtain at least three sights to every secondary point, even if the 
triangles are not of the best shape. Observers are especially cau- 
tioned not to slight the location of secondary points merely because 
they happen to be of no importance in their scheme of figures. The 
topographer may find it expedient to start his control from a secon- 
dary point, so that a blunder in the location of such a point may result 
in his starting with an erroneous base and having to make corrections 
at a great cost. 

Consent of owner. — Before a site for a station on private land is 
selected, the written consent of the owner should be obtained, if 
practicable, for establishing a permanent station mark and erecting 
the required signal. If a summit must be cleared of timber, or if 
lines of sight must be cut, the value of the timber to be cut should 
be definitely fixed and agreed upon with the owner before cutting 
is begun. Payments on this account should be made and sub- 
vouchers taken before the station is left. A suggested form for word- 
ing these vouchers is as follows: 

Received from the sum of in full payment for 

timber cut on hill (or mountain), in 

County, State of , in connection with the establishment and occupation 

of triangulation station [give name oi station] [date]. 

When it is necessary to clear away timber and the owner or agent 
for the groimd can not be reached without great delay, three resi- 
dents of the locality should be asked to appraise the value of the 
timber cut and to sign a written statement regarding it. This state, 
ment should be forwarded to the office of the Survey for consideration 
should a claim for damage be filed. 

Station marks. — Primary triangulation stations must be perma- 
nently marked by either standard iron bench-mark posts or by 
tablets, each tablet to be set in rock in place or in the top of a concrete 
<^r stone pier. (See PI, I and also fourth paragraph, p. 88, for instruc- 



■;h:- ;;i:, a ygrk 

uiiLiC library! 



ASTOR, LEMOX 
TILDE N FOUNDATiONB 



] 



.' J. 



TRIANGUI.ATION FlElrD WORK. 47 

tions in regard to setting tablets.) When practicable, bottles or 
other imperishable material should be left as subsurface marks. 

Two or more permanent reference marks should be established 
about each station mark. These may consist of holes drilled in rock 
in place, spikes in roots of trees, or large stones set solidly in the 
grotmd. The azimuth and the distance to each reference mark 
must be duly entered in the field record. 

When old stations are revisited and anv of the marks are found to 
be defective or to have been destroyed, new marks must be estab- 
lished in their place. 

' Signals. — Triangulation signals must be built with a view to their 
permanence as well as to their visibility. They may be of various 
forms, the form selected depending on the locality and the materials 
at hand. Thus, a signal on a bare mountain peak may be a rock 
cairn; one on a partly wooded summit may be a straight tree, the 
surrounding timber being cleared away; one on cleared land may be 
a tripod or quadripod. 

Rock cairns should be not less than 8 feet high and should be well 
put together, so that they will withstand strong winds and heavy 
snows. A pole or a small green tree placed in the top is of advantage 
in sighting. 

Signal trees are most satisfactory if stripped of their branches, 
except a tuft at the top. They form the best of targets when sighted 
against the sky, but if they are to be sighted against a dark back- 
ground they should carry two triangular targets 3 to 6 feet on a side, 
placed at right angles to each other and covered with white cloth. 
Tripods or quadripods should be built of sawed lumber if such mate- 
rial is available. For the legs and center pole 2-inch by 4-inch 
scantlings may be used, for the cross braces i-inch by 6-inch boards. 
The base of the pyramid should be large enough to permit a the- 
odolite to be set up under the center pole. In order to increase its 
visibility, boards may be nailed across the sides about a foot apart 
and covered with signal cloth, and cross targets may be attached to 
the center pole above the apex of the pyramid. The best colors for 
this cloth are white and black or white and red. 

Most signals stand in exposed places and should be securely 
anchored to prevent their being blown over. Ths, Xs?;^ ^^ \xs:^R»ft>s. 



4$ INSTRUCTIONS TO TOPOGRAPHERS. 

91^4 qua4ripods ahoijild he planted ip the fgfqva^i at least 2 feet; 
each slioiild be fastened to ^ "desman " and the holes filled wkjb 
t^ioipu^y tamped eafth or xocks, or else a stake 4 fjset long should 
he driven iiM^ th^ gpu|id at an angle wit)i each leg and $nn)y 
spike4 to it. If the giotm4 is too rocky to perpiit the digging ol 
hQJies, a 4-foot prosspi^ce should he nailed to each leg at nght angl^ 
flat on the grotind and weighted doyrp wit)i rocjcs. 

^^ffolds. — If it becomes necessa^ to elev^t^ t)ie instrupiesit a 
8pa%)d ipv^t he erected in the form of a tripQ4> ca|^)ed mth a tt^io]^ 
board 12 inches square to support the instrument. Around thi^ 
sc^lEoId, but entirely independent of it, should be built another, in 
qti^adripod form, supporting a platform on which the observer is tQ 
st^nd. If very high, S3^ a scaffold sjipuld be poqapo^ed of sui^c^ 
sfye be;^ts, each 8 or 12 fee^, with diagoi]Lal bracing. Thje o\ft%f 
sca|tol4, fujrther, is to serve as a signal, and for that pi^rpose sh^juld 
ext^d at least 6 feet ^hove the observing platform an4 he suf- 
moimted by a mast bearing cross targets. Before fixing signals in 
potion the direction in yrhich sights are to be t^en should be 
cariefiully ascertained, so that no woodwork will interfere with thie 
observations. 

The size of the timbers to be used necessarily depends on tl^e 
hjdgljLt of the structure. The amount of Itunber required may be 
determined by means of a rou^ drawing of the structtpre to scale. 

Centering of signals. — Great care must be taken to insure perfect 
c^s^ring of signal and scaffold over the station mark, tljie phfop^ 
hfih being used for this purpose. Signals s)iould stand over statioii 
marks wherever possiblci so as to avoid the necessity of oonipnti^g 
syidngs for the angles, but i| this is impracticable, as it is with a tiref^ 
signal, then the distance and bearing of the signal to the st9$30^. 
mark must be carefully meastu'ed and recorded. 

The permanent mark, tablet, or post must always be con^der^ 
^s the station for which the geodetic position will later be compnjted* 
and when observations are made for angles the theodolite $hoi])4 
be set up over its center if possible. If it is impracticable to center 
the instrument over the station mark the distance between t)i^ 
point occupied and the station mark must be carefully measured 
^nd recor<^ed. Also one or more sets of angles must be read between 



TRIANGULATION FIELD WORK. 49 

the station mark and the other stations, in order of azimuth, pref- 
erably with the o° ct for the pointing to the station mark. 

Heliotroping. — ^The heliotrope outfit commonly used by the Survey 
is either the Steinheil or a plane mirror with a screw hinged to the 
back to give it tmiversal motion and improvised diaphragms of tin 
or wood with round apertures. The plane mirror is generally pre- 
ferred to a heliotrope of the more elaborate form. 

A heliotrope is usually set up by mounting the mirror on a stake 
or board immediately over the center of the station and the dia- 
phiagm on another stake, lo or 20 feet away, carefully lined in with 
the distant station. The operator must constantly watch the 
reflected image of the mirror and keep it symmetrically over the 
aperttire. If the sun is back of the observer a second mirror a foot 
or two from the first may be used to reflect the light into the first. 

To the observer the flash should appear as a clearly defined point 
of light; if of appreciable size it will be necessary to bisect it, and an 
error is thus likely to be introduced. A good rule to follow is to 
make the diameter of the opening in inches equal to one-fiftieth of 
the distance in miles for wcwk in the West, and twice this size for 
work in the East, with a minimum opening of one-quarter itu:h. 

OBSERVING AND RECORDING. 

Time of observing. — As a rule the best time for observing is the 
three hours before sunset; the atmosphere is then steadiest and 
diows no "boiling." The early morning hours are occasionally 
good but are likely to be less satisfactory. Many cloudy or over- 
cast days are favorable. As a last resort observations at night may 
sometimes be necessary, but these require special night signals 
and asnstants to operate them, and because of the additional, cost 
involyed are seldom warranted. 

Preparation for observing. — ^Whenever practicable the theodolite 
must be set over the station mark for reading angles, to obviate 
reduction to center. In setting up the tripod the head bolt thumb- 
screws must be left loose until the legs are firmly placed and then 
tightened. 

66512—13 — 4 



50 INSTRUCTIONS TO TOPOGRAPHERS. 

The instrument must be sheltered from both wind and sun. If 
the region affords no material readily available for constructing 
wind screens and sun shelters, a folding wind screen and a sun 
umbrella must be carried as a part of the regular outfit. 

Before observations are begun at a station all adjustments of the 
theodolite must be tested and such as are found in error must be 
corrected, special attention being paid to the micrometers to elimi- 
nate errors of run. The stations to be sighted must next be carefully 
identified by means of the directions shown on the plat or by means 
of angles previously taken with a prismatic compass. If any of the 
distant stations can not be seen with the unaided eye some object 
in line with each which can be foimd quickly must be selected, or, 
if necessary, the direction to each may be marked by some object 
near by, so no time shall be lost in making the pointings when the 
angles are being read. 

Method of observing. — ^With micrometer theodolites either single 
angles may be measured or circle readings (directions) may be 
made. In using the latter method select for the initial point some 
station that is especially distinct and easily sighted and use it as 
the initial point for all sets of readings. The telescope being set 
on the initial point, read both micrometers, then sight the other 
stations in succession in the order of their azimuths (clockwise rota- 
tions), closing on the initial point. Then reverse telescope, set on 
initial point, and sight the stations in reverse order. This com- 
pletes one set of readings with telescope direct and reversed. Now 
shift the circle about 36° (examine the plate bubbles after this shift and 
relevel if necessary) and commence another set. When pressed for 
time, it is advisable to shift the circle when telescope is reversed. 
No angle should be considered as well determined that has not been 
measured on at least 5 different parts of the circle or 10 times in all, 
5 with telescope direct and 5 with telescope reversed. When the 
telescope is reversed each end of its axis will rest in the same Y as 
before. Reversals are of especial importance when there is appreci- 
able difference in the elevations of the points sighted. 

If the observations are made in the afternoon it is advisable to 
take all secondary pointings before commencing the observations 
to stations, and there should be at least two sets of such pointings; 



TRIANGULATION FIELD WORK. 5 1 

the remaining time for observing can then be devoted to the accu- 
rate measurement of the important angles while conditions are 
the most favorable. 

The graduated circle should never be placed so that when pointing 
at any particular station the micrometers will be set to even degrees 
except, as before noted, while data are being obtained for "reduction 
to center." 

Field record. — The field record is to be kept in book 9-912. It 
must be written in a plain, neat hand, with a No. 4 pencil, or with ink, 
and no part of it must on any account ever be erased. A single line 
should be drawn through erroneous records, the corrected figures 
being written above. If deemed necessary, an explanation should 
be written in the column for remarks. The memory should not be 
trusted for data of any kind ; the record must be faithfully kept in 
all particulars and be made so complete that it can be understood 
by another person at any time. 

On the flyleaf of each field notebook is a blank in which all infor- 
mation necessary to identify the book must be recorded. This blank 
should be filled so far as practicable on or before the first date of entry 
of field notes, and it must be completely filled before the book is 
forwarded to the Washington office. Any failure to fill in completely 
the blank on the flyleaf of a field notebook should be reported by 
the computer to the geographer in charge of the division. One of 
the blank flyleaves must contain an index of the contents. 

The date, name of station, time of observing, and names of observer 
and recorder should be systematically entered at the head of each 
page. 

The position of the instrument with respect to the center of the 
station must be clearly defined, and if it is set up off the center a 
full statement must be given of the distance and the angles measiu-ed. 

On the page immediately preceding the record of angles should be 
written a minute and complete description of the station occupied, 
the station marks, character of signal, nearest camping or other stop- 
ping places, roads, and trails, also a statement regarding the own- 
ership of the land and such other information as will be helpful 
to the topographer. The description must be written before the 
recorder leaves the station and should be accompanied by a ro\s5^ 



52 INSTRUCncmS TO TOPOGRAPHERS. 

diagram showing directioiis to other statioos and plan indicating 
location ai instrument or signal if it was not centered on the ctatioa. 

Reading and recording of angles. — ^When the micfometer wires are 
set for a reading with the Geological Surrey theodc^tes it is rery 
important that the last movement of the wires be toward the right. 
The readings on the graduated head are then decreasing and the 
spring attached to the slide which holds the wires is being com- 
pressed. If the CTDSS wires are moved the least bit too far to the 
right they must not be turned t>ackward merely to the setting, but 
mnst be turned backward at least a half turn of the screw, then 
brought forward slowly to correct setting. When the setting is 
properly made a divisiosi on. the graduated plate will appear exactly 
midway between the two movable cross wires and an equal amount 
of white space will show on each side of it. A part at least of the 
micrometer adjustment errors can be eliminated by making the 
settings with less than five turns of the screw; this can alwa3rs be 
done if the right-hand part of the comb scale is sometimes used for 
comb scale and micrometer head readings, the lo-minute q>aoe being 
taken from the left. 

For all precision instruments where a tangent screw and ^>ring 
are used together, the setting should be made while the ^ring is 
being compressed, otherwise the "slack'' of the screw may cause 
an error. 

The recorder should not only take down the readings called off 
by the observer but should without delay compute the angles be- 
tween successive stations and also the mean readings. The following 
form is to be used for recording angles by the method of directions: 



TRIANGULATION FIELD WORK. 



33 



IS 

Hi 



Ota 



3S 

'I 



^ I 



^1 







o d «^i "i «^ "^ 






J^S^v^'^S^S* 



s: 



2; 















DC 



,<fe- 






<i^ 










i 



■>• ^ »n "^ ^ H ^^•^•'v'^N 



IV > «v^ O > Q 



o >»• o>.5i^ 5^ 



>0 «»^oo 



* O ^ N O 5^ •>» "^ 


















3«^ 



a 



§ 



Oi 



5s 

1 









•«« N* N 









Six *^s 



HSl^ ^l^^i^^ll 







as 



«1 
11*^*1 III -i** 



o 



•5 s 
"2-2 

^ 3 

^! 

1.2 

s| 



la 
% 

el 



54 INSTRUCTIONS TO TOPOGRAPHERS. 

Opposite each angle record any necessary information as to visi- 
bility of signals or atmospheric conditions. 

Field computations. — Angles at each station should be reduced to 
center in the field in order to test the triangle closures, which for a 
primary scheme should not exceed 5''''. 

Arbitrary adjustments and preliminary computations of positions 
should also be made in the field. Book 9-889 should be used for 
summary of angles and for miscellaneous computations. Compu- 
tations for distances should be entered in book 9-901 and for coor- 
dinates in book 9-902. For field computations of coordinates where 
the lines are short five or six place logarithms will give sufficient 
acctu^acy and the computations may be shortened by omitting some 
of the minor corrections, carrying results to tenths of seconds of lati- 
tude and longitude only. 

As soon as the preliminary computations are made the record 
books should be sent to the Siu^vey office by registered mail. The 
computation books should also be sent by registered mail, but on 
another day. 

Triangnlaiion plot. — A careful plot of the work should be kept on 
the scale of 10 miles to an inch, and each month a reduced copy, on 
which angles measured are indicated by the usual sign, should be 
sent in on the monthly report blank. The plot, if carefully made, 
will prove invaluable for finding directions to distant stations. 
Place the protractor on the plot with 0° in line with a station that 
can be seen clearly, then read in turn the angle to each other station, 
thus obtaining an observing list. 

Azimuth observations. — There must be not less than two azimuth 
stations in each triangulation scheme, but if the azimuth of any line 
in a scheme can be computed from former observations then only 
one azimuth station need be established for each square degree 
controlled. 

The azimuth mark should be placed at least half a mile from the 
station. It should consist of a vertical slit one-fourth to one-half 
inch wide and 6 inches long, cut in a small box containing a candle 
or lantern. To illuminate the cross wires of the instrument and to 
read the angles, an electric hand lamp is to be preferred. 

^e observations should consist of not fewer than five direct and 
reversed measurements between the slat and mack. As the 



TRIANGULATION FIKI^D WORK. 



55 



star is at a much higher angle of elevation than the mark it is impor- 
tant that the horizontal axis of the theodolite be adjusted with care 
and leveled. The ends of the striding level bubble must be read at 
each setting on the star and a level correction computed if there i^ 
an appreciable difference between them, as shown in the example 
attached. 

Observations on Polaris should be made immediately preceding 
and following elongation, as any error in the time of observation has 
then the least effect on the resulting azimuth. The time of setting 
the cross wires on the star must be recorded to the nearest second. 
The watch error must be known and to this end the observer should 
compare his watch frequently with telegraphic time, which is sent 
over Western Union lines once a day, usually at noon, Washington 

time. 

Exatnple of record of azimuth observations. 

Station: Canada, Ky. 8-inch theodolite No. 434. One division of micrometer— 3". 

One division of level =-3" of arc. June 11, 1910. Watch o™ 33"«« slow, 90th meridian 

standard time. 

Telescope direct. 



Object. 


Time a. m. 


1 
Level. 


Micrometer. 

A. B. 

• ' div. ' • ' div. 
352 54 09 172 53 21 
288 35 24 108 35 OS 


Mean. , Angle. 

1 


West. East. 


Mark(i).... 


//. m. s. 


1 

Div. Div. 

1 


f It Q t ft 

173 ^4 00 : 


Polaris (2).. 




2 30 50 


II. 10. 1 
9. 12. 


108 35 39 ' 




20. 33. 
—3. 

1 

Tele 




64 18 31 


— 


1 

Bcope reversed. 




Mark (4).... 


1 


172 Si 04 i 353 52 13 

108 34 10 \ 2«8 33 37 


352 52 47 
388 34 07 




Polaris (3).. 


2 3648 


, II. 10.0 

' 9.0 13. 






1 30. 33. 
1 —2.0 
10.0 II. 

lao XI. 


64 18 40 


Mark (0 . . . 




a02 41 13 : 23 40 23 
138 22 24 318 33 06 


32 41 05 
318 22 30 




Polaris (6).. 


2 40 26 






20. ' 22. 
—2.0 

1 


» 

64 18 35 


• 




\ 


\ 



56 



INSTRUCTIONS TO TOPOGRAPHERS. 



Example of record of azimuth observations — Continued. 

Telescope direct. 



Object. 


Time a.m. 


Level. 1 

1 


Micrometer. 


Mean. 


Angle. 


West. Bast. 


A. 


B. 


Mark 


H. m. s. 


1 ' 
Div. i Div. i 


*• ' div. 

33 41 07 

318 33 30 


• ' div. 
207 40 17 
138 33 13 


// 

303 40 S4 
138 33 ^^ 


• in 


Polaris 


3 46 sa 


10.0 : II. 1 

11. , lOwO 






31. 1 31. ' 
0.0 


64 18 ax 












N0T8.— Four other sets shMild be taken. 

TRIANGULATION COMPUTATIONS. 
Preliminary computations of distances from unadjusted angles 
should be made in the field , as required by the rule on page 54. 
The steps in the final adjustment and computation are as follows: 

Closing the horizon. 
Tabulation of angles. 
Reduction to center. 
Computation of azimuth. 
Tabulation of triangles. 
Computation of spherical excess. 
Least-square adjustment: 

Angle equations. 

Side or sine equations. 

Equations of condition. 

Table ci correlates. 

Normal equations. 

Solution o# normal equations. 
Computation of distances. 
Computation of geodetic coordinates. 
Tabulation of results. 

Operations are completed in books 9-913, 9-889, 9-901, and 9-902. 
The results are tabulated on printed blanks 8 by io>^ inches in 
size, one blank for each station. 

Closing the horizon. — In careful work closing errors will always be- 

small and may be distributed among the various angles in propor 

tion to their number. If any of the angles measured should equal 

the sums of smaller angles, proper adjustments must be made before 

the horizon is closed. 

Tahulaiion of angles. — For convenience of reference a rough plot 
he made for each station on part oi a pa^^t in book 9-839, 



TRIANGUI.ATION COMPUTATIONS. 



57 



showing the relative size and position of the various angles with 
names of stations sighted, and on the same or the following page 
should be given a summary of all the angles at the station, in order 
oi azimuth, with the angles and distances to signals for eccentric 
stations. 

Reduction to center. — For eccentric stations the data for reduction 
to center should be indicated on the plat and figures given for them 
in the summary. An illustration of the method of prociu-ing these 
data is given below. (See also fig. i, p. 60.) Two sets of angles 
were read at Elk station (where an eccentric point was occupied), 
with one of the micrometers set very nearly on 0°, when the tele- 
scope was pointing directly toward the center of the signal. The 
angle to each point in turn is given below. By measuring the angle 
with this setting the computer is saved considerable trouble, and 
the possibility of error is lessened. The measured distance between 
the center of the instrument and the center of the station was 4.7 
feet (1.43 meters). 

The formula for computing the swing in seconds for any line is — 

Distance to signal Sine of angle between signal and far station 
Sine i^^ ^ Distance to far station 

The distance to signal will be a constant for each set up, hence its 
logarithm may be combined with the sine of i second and this con- 
stant used throughout the computation. The distances to the 
distant stations in logarithms of meters are derived from a preliminary 
computation. 



log 1.43 
log sin 1" 



■o. IS534 
■4-68557 



log constant =■ 5. 46977 



ELK STATION. 



SUtion 

Angle 

I«og constant 

I«og sin angle 

A. C. log distance 

I«og correction 

Correction in seconds 



Dick. 



23" 07' 10" 



5-46977 
9. 59400 

5- 70154 



o- 76531 
+5-83 



Taylor. 



68* 43' 40' 

s- 46977 

9-96935 
5' 59«9* 



1. 03108 
+ 10.U 



Browning. 



109* 16' 54" 

5-46977 
9- 97493 
5- 56734 



\ 



X. oiao4 



Tweedy. 



206* 2^' 10" 

5- 46977 
9.6488X 

5* 63*75 



o. 75133 



\ — v^*v 



58 INSTRUCTIONS TO TOPOGRAPHERS. 

The aign for any correction is the same as that for the sine of the 
angle, therefore for an angle over i8o° it will be negative. 

The correction for any angle will be the difference between the cor- 
rections for the two lines bounding it, alwa^-s taking the lines in 
order of azimuth. Thus, for Dick-Blk-Taylor it will be — 

+10.74 

— 5-83 

For Browning-Elk-Tweedy it will be — , 

— 5-64 

— io.a8 

— 15.92" 

The general rule is, change the sign of first correction (in order of 
azimuth) and add algebraically to the second correction. The sum 
will be the correction to the angle. The angles listed on pages 
62-^3 have all been corrected. 

The foregoing formula may be used also ^yhen it is desired to com- 
pute the "swing" for a line, which is to be applied at a distant sta- 
tion to change the pointing to the marked point — ^that is, the station 
center — from that taken to the signal. Whether the computed swing 
is to be added to or subtracted from a given angle may easily be 
found by an inspection of the diagram. 

Computation of azimuth. — The daily change in Polaris is so slight 
that for the following computation no account need be taken of a 
fraction of a day in computing its position. 

Com,putation of azimuth observations, 

Canada. Ky., triansulation station. June 11. 2.30 a. m., 19x0 (dvil date). 

Latitude: 37* 35' 46". Longitude: 82 • 21' 39". 

Watch time of observation 2*» 30"* so* a. m.— 14»» 30™ 50* of the astronomic H. m. s. 

day which commenced at noon June 10 14 30 50 

Correction from seventy-fifth meridian time to 82* 21' 39" correction 

for 7" 21' 39" (p. Ill, " Geographic tables and formulas") —29 27 

Watch slow by telegraphic time + 93 

Local mean time (astronomic day) X4 oz 46 

Correction, mean to sidereal time (p. 1x3, "Geographic tables and formu- 
las." or Table III." "Nautical almanac") -fa z8 



TRIANGULATION COMPUTATIONS. 59 

Right asceiision oi mean sun at Greenwich noon, June lo, corrected for H. m. s. 
jh 29m 27" to change to noon at 82* ai' 39" west longitude ("Nautical 
almanac," June, Table II; change for longitude made by Table III, 
last part of almanac) 5 xa 45 

Sidereal time of observation 19 16 49 

Right ascension of Polaris for nearest Washington transit — ^June 10.8 
(" Nautical almanac, " circumpolar stars for June) i a6 xa 

Hour angle of Polaris at time of observation 17 50 37 

Hour angle of Polaris in arc^t (p. 1x2, "Geographic tables and formu- 
las") 267'39'xs" 

The following are the formulas for azimuth and level correction: 

tan A = r r a— sec cot J 6=tan^cot^ 

1—6 cos t. ^ 

Level correction = [('w+w')~(e+e')] tan A; 

4 

in which — 

^"-latitude of station (37* 35' 46"). 
A -"azimuth of Polaris at time of observation. 
d<* declination of Polaris at time of observation (88* 49' 21"). 
/•=hour angle of Polaris at time of observation (267* 39' 15") (both the sine 

and cosine of this angle are negative for this example). 
rf«=value of one division of level (2.0"). 
w, itf'—readings of west end of level bubble, direct and reversed. 
«, e'= readings of east end of level bubble, direct and reversed. 

ABangular elevation of star (at elongation this is equal to the latitude, nearly). 

The following is the computation of the first of the preceding 
observations (p. 55): 

a 
Level correction— —(2 X o.77)=o.77" 

4 

Log tan ^ 9. 88649 

Log cot 9 8. 31290 

Log cos t 8. 61205 (negative). 

Log b cos t 6. 81144 (negative). 

b cos t — o- 000648 

I 

1—6 cos / 1.000648 

Log sec o. 10109 

Log cot (? 8.31290 

Log sin / 9. 99964 (negative). 

Log a sin < 8. 41363 (negative). 

Log i—b cos i o. 00028 

Loir tMn A — %. a.t.'j,^^* 



6o 



INSTRUCTIONS TO TOPOGRAPHERS. 



Level correctioa . 



01.7 
+ 0.8 



// 



Add i8o' to refer to the south — 180 

Angle star to mark 64 



29 



02.5 



x8 3a 



34".S 



Azimuth of mark 245* 47' 

Bach azimuth computation should be made in a single column 
and for convenience the columns should be placed side by side in 
tabtilar{f6rm. 

Tobulation of triangles. — By an inspection of the field plat of the 
triangulation determine what groups of triangles are so interrela ed 



Taylorix^ 



Dick 




Browning 



Elk 



PiOURS I.— Diagram showing quadrilateral for adjustment by least-square 

methods. 

that a change in one will afifect the others and what groups of tri- 
angles should be adjusted as a unit. For the triangulation by the 
Geological Survey, which is not executed for geodetic purposes, it 
is not advisable ever to include more than 15 or 20 triangles in such 
a group, because the labor of solving equations for the adjustment 
of any group increases rapidly with its size. 

Four overlapping triangles form the simplest group that may be 
adjusted by the usual least-square methods. 

Assume the group shown in figure i for adjustment. Tabulate 

the angles for each triangle, as shown at (a), (b), (c), and (d) (pp. 

^-^j)' Any angle in any of these triangles may be considered as the 

fiilFerence between the azimuths (direcUons") of its two sides. For 



TRIAKGULATION COMPUTATIONS. 



6i 



example, angle Dick-Elk-Taylor, or 3.0.2, using for convenienee the 
figures asBtgned to each angle vertex, would be the azimuth or dimc- 
tion of the line 3-0 subtracted from the azimuth or direction <if the 
line 2-0. Azimuths are always measured in a clockwise directkMi. 
Therefofe this angle may be indicated as —3.04-2.0 or — j/o-fa/o. 
In the latter form the denominator is always the figure at the vertex 
of the angle and with the vertex pointing toward the observer the 
left-hand direction is always given the minus sign. (Directioas 
will hereafter be referred to as sides.) 

Computation of spherical excess. — For any triangle on the earth's 
surface the sum of the three angles, if correctly measured, will 
exceed 180^ by an amount varying with the area. For use in oom- 
puting distances the observed angles must be reduced to their plane 
values by deducting one-third the* spherical excess from each. 
The spherical excess for any triangle between latitude 25® and 
45° is approximately i second for each 75.5 square miles of area, 
or exactly equals in seconds abm sin C, in which a, b, and C are, 
respectively, the lengths of the two sides in meters and the in- 
cluded angle of any triangle, and m is a constant depending on the 
latitude.* In computing spherical excesses for any figure (as fig. i, 
for example) arrange the work systematically, the logarithms of each 
of two sides in meters from a preliminary computation, the loga- 
rithm of the sine of their included angle, and the logarithm of m for 
the mean latitude for each triangle; place in a column. Give the 
figures for the triangle at the head of the column, as 3.0.2, using the 
angle 3.0.2 and the sides 3-0 and 2-0 in the computation. 

Computation for spherical excess. 



Triangles. 



Log side a 

I/^side b 

Log sin C 

Logm 

Log spherical excess 

Spherical excess in seconds 



3.0.2 



a.o.z 



4. 29846 
4.40804 
9. 85406 
1.4047s 



4.40804 
4. 252x9 
9. 8x304 
1. 4047s 



9-96531 
0.93 



9. 8780a 
0.76 



Mean latitude, 37* 35'. 



> Logarithms of m are given in Geographic ta.b\^ %xvd V«rTDNi2«.v v- "ar^N "«»^^^=^ 
Bull. U. S. Gedi. Survey No. 234, 1904, p. a66. 



62 



INSTRUCTIONS TO TOPOGRAPHERS. 



In the same manner compute the spherical excess for each of the 
remaining triangles. Many such computations can be conveniently 
made in the book (9-901) used for preliminary distances, in the left- 
hand column adjacent to each triangle. 

As the spherical excess for a given area is constant, the sum of the 
spherical excesses for the triangles 2.0.1 and 3.0.2 must equal the 
spherical excesses for the other two. This check should always be 
applied to the results. 

Least-square adrjustment. — ^After deducting the spherical excesses 
from the sums of angles for each triangle (a), (b), (c), (d) (see below) 
the differences between the remainders and 180® will be the errors, 
plus for remainders over 180° and minus for those less than 180°. 

The rules for determining the number of angle equations a nd the 
number of sine or side equations required for the proper adjustment 
of any figure are these: 



L- S+i= 
L-2S+3= 



> angle equatioas 
* sine equations 



where L equals number of lines in the figure and S the number of 

stations. A solution of these equations for a quadrilateral shows 

that three angle equations and one side equation are required. In 

the present example it is immaterial which three triangles are used 

for the adjustment. 

Angle equations. 



Stations. 




(Elk 

(a)<{ Browning 
[Taylor. . . . 



—2/0+1/0 
— 0/1+2/1 
—1/3+0/2 



// 



40 33 19-17 
95 23 07.62 
44 03 30. 52 



179 59 57-31 
■76 

Error —3. 45 



// 



+ 2. 13 
+ 0.71 
+ 0.62 



Corrected 

spherical 

angle. 



ff 



40 33 ax. 39 

95 23 08.33 
44 03 31. X4 



z8o 00 00. 76 
Spherical 
excess.. 0.76 



TRIANGULATION COMPUTATIONS. 



63 



Angle equations — Continued; 



Stations. 




[Elk... 
(b)^ Taylor. 
[Dick.. 



|Elk 

(c)< Browning, 
pick 



Observed, 
angle. 



// 



—3/0+2/0! 45 36 34-90 
—0/2+3/2 i 50 34 37-57 
-2/3+0/3 ' 83 48 53.15 



180 00 05.62 
.92 



—3/0+1/0 
-0/1+3/ 1 
-1/3+0/3 



Error +4. 70 

86 09 54-07 
SO 10 30. 58 
43 39 38.99 



180 00 03.64 
.90 



Correc- 
tion. 



-2.97 
-0.40 
■1-33 



■0.84 
-1.47 

■0.43 



{Dick —2/3+1/3 
Browning '— 3/1+2/1 
Taylor -1/2+3/2 



Error +2. 74 

40 09 14. 16 
45 12 37.04 
94 38 08.09 



—0.90 
+ 2.18 
+0. 21 



Corrected 

spherical 

angle. 



45 36 31-93 
SO 34 37-17 
83 48 51-82 

180 00 00.9a 
Spherical 
excess.. 0.9a 



86 09 53- 23 
50 10 29. II 
43 39 38. 56 

180 00 00. 90 
Spherical 
excess. . o. 90 



40 09 13. 26 
45 12 39.22 
94 38 08.30 



179 59 59-29 
.78 I 



I 



Error —1.49 



180 00 00. 78 
Spherical 
excess. . o. 78 



To select the sines for the side equation: Consider the figure 
as a pyramid with vertex at 2; by redrawing the figure with the 
line 3-1 dotted and the triangle 2-3-0 shaded, it will appear to 
the eye as such a pyramid. Select for the first set of angles for the 
sine equations those opening to the front in going around the base 
of the pyramid from 3 to o to i to 3 ; for future reference mark them 
with solid arcs of circles; the remaining angles around the base make 
up the other set and are marked with dotted arcs. In selecting the 
point for the vertex of the pyramid, as a general rule choose the one 
which includes the smallest angles, but if all the angles are greater 
than 30° either station may be chosen. Find the sines for each set of 
angles, recording also the differences for 1^^ for each; call the first 



64 



INSTRUCTIONS TO TOPOGRAPHERS. 



set of sines plus and the second set minus, find the difference between 
them, and give it the sign of the greater. 

Sine eqiuition. 



Sides. 


Angle. 


Sine. 


Differ- 
ence for 
i". 


Correc- 
tion in 
seconds. 


Cor- 
rection 
to sine. 


Corrected 
sine. 




' -2/3+0/3 
-*-< — 2/o4-i/o 

1-3/X+2/1 
(-8/3+1/3 

— —3/0+2/0 

I 1-0/I+2/I 


/ // 

83 48 53- 15 
40 33 19- 17 
4S 12 37.04 

40 09 14. x6 
45 36 34- 90 
95 23 07. 62 


9. 9974645 
9. 8130350 
9. 851073 1 


-f-02. 2 
+24-6 
+2a9 


-1-33 

+2. 12 
+20.9 


— 3 

+52 
+46 


9* 997464a 
9- 813040a 
9. 8510777 


(e) 


9. 6615726 

9-8094543 
9. 8540576 
9. 9980787 


9. 66x5831 




+24-9 
+20.6 
— 2.0 


—0.91 

—2.97 
+0. 71 


-23 

-61 

— z 


9-8o945«o 
9. 85405x5 
9. 9980786 






9. 6615906 
Error —180 




9. 661 5821 



Equations of conditions are now made up as follows: For triangle (a), 
equation (f), error equals — 3.45^''; this is made up of the errors in the 
azimuth or pointing of the sides —2/0+1/0— 0/1+2/1 — 1/2+0.2, six in 
all. In like manner form equations (g) and (h). The sine equation 
(i) is made up as follows: The error of the sines, being the difference 
between the two sets, is —180. To correct the sines, changes in 
seconds to be fotmd for the angles must be multiplied by the differ- 
ences for 1^^ in column 4 of (e) for the given angle; hence for the first 
sine this will be +2.2 multiplied by the corrections to be given the 
directions —2/3 and +0/3, or if expressed in a simple form it will 
be —2.2 2/3+2.2 0/3. Treat each side and difference for i^' in like 
manner, noting, however, that for the second set of sines, which is 
considered negative, each sign given for the side will be reversed; 
for example, the first one is written +24.9 2/3—24.9 1/3. It will be 
noticed that in the first form of (i) as written, 2/z appears twice with 
like signs, 2/3 appears twice with unlike signs; combine like terms 
algebraically, thus reducing the equations to the second form of (i). 
For the convenience of the computer and in order to avoid the 
handling of large numbers, equation (i) has been divided through 
by-iToo; this, of course, does not alter its value. 



TRIANGULATION COMPUTATIONS. 



65 



Equations of condition, 

(f) o^ —3.4s"— 2/0+1/0— 0/1+2/1— 1/2+0/2 

(g) o— +4.70"— 3/0+2/0— 0.2+3.2— 2/3+0/3 
(h) o- +2.74"— 3/0+1/0— o/i +3/1— 1/3— 0/3 

«— X.80"— .022 2/3+.022 0/3— .246 2/0+.246 1/0-.209 3/1+.209 2/1+.249 2/3 
—.249 1/3— .206 3/0— .206 2/0— .020 0/1+.020 2/1 

«— i.8o"+.227 2/3+.022 0/3— .452 2/0+.246 1/0— .209 3/1+. 229 2/1 
—.249 1/3— .206 3/0— .020 o/i 



(i) 



There are now four equations to be solved and twelve unknown 
quantities; the latter are combined and reduced to four in the table 
of correlates. Column (j) contains the marks for the sides or direc- 
tions for which corrections are required. Column (k) contains on 
the proper lines the algebraic coefficients for the various sides from 
equation (f); for example, —2/0, considered as a quantity, might be 
written — i (2/0), and +1/0 in like manner written +1(1/0); — i and 
+ 1 are therefore the entries for column (k), lines 2/0 and i/o. 

Table of correlates. 



(j) 


I 
+1 

-X 

• • • • • 

— I 

+1 


0) 
'+i' 


(m) 

3 
+ 1 

• • • • 

— I 

— 1 


(n) 

1 

4 

1 

+0. 246 
-0. 452 
+0. 206 
—0. 020 
+0. 229 j 
— 0. 209 


Cdrrelates after substituting computed values. 


Sides. 


i 

I 
+0.275 


« i 3 i 4 

— 0.063 i •"0.589 +3.007 

1 


Correc- 
tions. 

+a426 

-1.697 
+1. 271 
+0.254 
+0.964 
—1.2x7 
+0.338 

-0.275 
—0.063 
-0.586 
0. 160 
+0.746 


Sides. 

I/O 

2/0 
3/0 
o/i 

2/1 
3/1 

0/2 

1/2 

3/2 

0/3 
'^ 

2/3 


i/o 
2/0 
3/0 

O/I 

2/1 

0/2 

j/2 
3/2 

oh 

2/3 


+0. 275 
-0. 27s 

1 

— 0. 275 

+ 0. 27< 


1 

-a 589 

—0.063 

+0.063 i+o. 589 

,+0.589 

' 


+0.740 

-I- 359 
+0. 619 
—0.060 
+0.689 




+ 1 


1 — 0. c8o 


-a 628 


+1 

— I 


— I 


i+o. 27s 


+0. 063 


' * t 

, , . . , ; 


(-0. 27s 


* . . ' 


+1 
+1 


::::. .::::::! 


— 0. 063 1 


+1 
—I 

• • • • 


+0. 022 
— 0. 249 
+0. 227 


1 

1 


—0.063 i— o« 589 
+0. s8o 


+ao66 
— 0. 749 
+0.683 




~^ 


1 

1 


+0-063 



The formation of normal equations from the table of correlates is 
as follows: Column i, line i, of (o) (p. 66) contains the sum of the 
squares of each quantity in column (k). Column 2, lines i and 2, con- 
tains, first, the sum of the products of each quantity in column (k) by 
corresponding quantities in column (1); second, the sum of the 
squares of each quantity in column (1). Column 3, lines i, 2, and 3, 

66512 — X3 — 5 



66 



INSTRUCTIONS TO TOPOGRAPHERS. 



contains the sum of the products of (k) by (m), (1) by (m), and (m) by 
(m) (the squares). Column 4 is made up in the same manner, using 
the quantities and signs as given. If columns 1,2, and 3 are com- 
pletely filled out by products found as indicated above, it will be 
fotmd that the quantities from +6.000 down the column are the same 
as those from +6.000 along the lines to the right to column 4. But as 
the former are not needed in the solution they may be omitted ; when 
retained the equations in full will be as follows, the second member 
of each equation being zero: 

(0) Normal equations. 



I 


2 


3 


4 

+ 0.947 
-0.863 
+0. 122 
+0. SI779 


Absolute 
term. 

—3- 450 
+4.700 
+ 2. 740 
— 1.800 

1 


1 

+6.000 ! 


2.000 
+6.000 


+ 2.000 
+ 2.000 
+6.000 


—2.000 , 

1- 

1 +2.000 ! 

+0.947 I 

1 


+ 2.000 
-0.863 


+0. 122 



These are ordinary algebraic equations which may be solved by 
the usual rules of algebra, but as the solution of 5, 10, 15, or more 
equations is often required in Geological Survey work the process 
should be conducted systematically as shown. 

Solution of normal equations. 

(P) 





z 


2 


I 
1 

3 


4 

1 

1 

+0.947 

! -0.1578 


Absolute 
tenn. 


isi 


+6.000 
(0. 1667) 


2.000 
+o- 333 


+ 2.000 
—0. 333 


-3- 4SO 

+0. 575 


\^i 


' +5- 333 
(0. 1875) 


+ 2.667 
1 0.500 


; -0. 5473 
. +a 1026 


+3- SSO 
-0.666 


H 




1 

1 4.000 


' +0.0800 


+ 2. IIS 


(pt) 


(0. 


250) 


1 —0. 02D0 


—0. 529 


j (pt) 

^ / 




(3. 


+ 0.31060 
2196) 


—0.934 
+3- 007 



TRIANGULATION COMPUTATIONS. 



67 



Solution of normal equations — Continued. 

(q) 



(0 



(ri) 
(rs) 

(n) 

(ft) 



+0. SIS 
-o. 475 
+0. 196 
—0.021 



+0. 27s 



-0.666 
+ 0.309 
+0. 294 

— o. 063 



'O. 529 +3. 007 
-0.060 



-0.589 





2 


3 


4 


Absolute 

term. 

1 

! 


(qO 
(qs) 


+6.000 
—0.667 


+ 2.000 
+ 0.667 


-a 863 
+0.3157 


+4. 700 
— I. 150 


(qs) 

(qO 

1 (qs) 




+ 6.000 
-0.667 
— 1.333 


+0. 1220 

—0.3157 
+0. 2737 


1 

+2. 740 ; 
+1.150 

-1-775 


i (q«) 






+0. 51779 


— 1.800 


(q») 

i 






—0. 14944 
—0. 05615 
—0. 00160 


+0.544 
+0. 364 
—0.042 



The first normal equation is written in full on line (pi); parts of 
the other equations are written on lines (q,), (qa), and (q^). The 
reciprocal from Barlow's tables of the first quantity (+6.000, line 
(pi), column i), is placed at the left. The product of this reciprocal 
(0.1667) by the quantities on line (pj), columns 2, 3, and 4, and 
absolute are written immediately under each in turn; the quantity 
-fo.333 (line (pa), column 2) is now used as a multiplier for line (p,) 
(omitting column i), and the products are placed in columns 2,3,4, 
and absolute, line (qg): in like manner the quantities —0.333 (1^*^® (p2)» 
column 3) and —0.1578 (column 4) are used as multipliers and the 
products written on lines (q4) and (q;). The algebraic sums of lines 
(qi) and (qg) are now written on line (pa), which is then used as if 
it were an original equation. The reciprocal of +5. 333 is found and 
used as a multiplier as before and the products voyXX^tl ^tcX«\r. V:s^K^ 



68 INSTRUCTIONS TO TOPOGRAPHERS. 

The next products are written on lines (qj) and (qg). The sum of 
each column of lines (qs), (q4), and (qg) is carried over to (ps). The 
process is repeated for each equation tmtil finally the product 
+3.007 is found, which is the value for unknown quantity numbered 
4. This value and also the quantities in the column of absolute 
terms, lines (po), (P4), and (pj), are copied in table (r), line (ri). 
With -{-3.007 as a multiplier products of each quantity in column 4, 
lines (pj), (P4), and (P2), are found and written on line (rj), columns 
3,2, and I. Column 3 of (r) is then summed and the result (—0.589) 
is the value of unknown quantity numbered 3. This is used as a 
multiplier and products found with quantities from columns 3 and 
2, lines (P4) and (pj), and in like manner values for unknown quan- 
tities numbered 2 and i are found. 

The solution of the normal equations and the values found for the 
unknown quantities may be checked, if desired, by substituting in 
the full equations (p. 66), but usually an experienced computer 
will not need to undertake this extra work, depending rather on the 
accuracy of his results until checked by use as correction in the 
original triangles, (a), (b), (c), and (d), and in the sine equation (e). 

The next step in the adjustment is to substitute the values for the 
foiu: unknown quantities in the tables of correlates (p. 65) and to find 
the correction for each side. The method of doing this can'be easily 
seen by following the process through the right-hand half of that 
table. For convenience, the value found for each unknown quan- 
tity is written at the head of columns 1,2,3, ^^^ 4- Bach of these in 
turn is multiplied by quantities in columns i, 2, 3, and 4 of the left- 
hand part of the table and the products are placed in the right-hand 
part on the same line with the multiplicand. The final correction for 
any side is then the algebraic sum of the quantities, which are on line 
with the side number in columns 1,2,3, ^^^ 4 (^^ ^^^ nglit side of the 
table). Thus the correction i/o is made up of -I-0.275, —0.589, 
-f 0.740=4-0.426; this is the correction in seconds to the side. The 
correction for any angle, then, is the difference between the correc- 
tions for the two sides bounding it. For example: Angle at Elk, tri- 
angle (a), is: 

— correction 2/0 ■- + i. 697 
+ correction i/o ■- + . 426 



TRIANGULATION COMPUTATIONS. 69 

The correction for any sine is the correction for the corresponding 
angle multiplied by the difference for i^' in the sine. 

It is desirable to have triangles close without errors greater than 
a hundredth of a second and sine equations close to the seventh 
place o>f logarithm, but unless the normal equations are carried to 
three or foiu: decimal places, there will possibly be residual errors 
of two or three hundredths in some triangle closures. It is, however, 
considered allowable to make arbitrary changes of not over ±0.03^'' 
in angles in order to procure consistent results. 

The figures for adjustment will generally be larger than quadrilat- 
erals, though they may be made up of quadrilaterals or triangles 
which do not overlap and are therefore independent each of the other. 
When they do overlap select for the first pyramid group (p. 63) the 
one which takes in the largest number of triangles and set down (ac- 
cording to the formula on p. 62) the number of triangle equations re- 
quired to completely adjust it, remembering that the triangles used 
must always cover the whole area once, but not twice. For the sec- 
ond group set down the number of triangle equations required by the 
rule, as though they were from an independent pyramid group, but 
omit from those selected all which would be adjusted in or by the first 
group, the vertex of the pyramid being so situated that a base triangle 
will not be included in a former group. In other words, as group by 
group is added to the first, find for each a single sine equation and as 
many additional angle equations as are required, including in the 
number all triangles adjusted by a previous group, excluding those 
which appear in each or which would appear in each if the vertex of 
the pyramid were taken in a different place. 

In order to adjust an extensive triangulation scheme, the 
strongest groups are adjusted first; then if lines or triangles in 
them form parts of other groups, their first adjusted values are given 
infinite weights and thus left unchanged. Weights if used in an ad- 
justment appear in the table of correlates only. For any side they 
are used by inserting them in an extra column in the table (this would 
be placed between (j) and (k) if used in the present example). The 
weight for a side taken as a whole number 1,2,3, etc. , or 00 , is written 
on the line with the side number. Any product with quantities on 
that line in either the right or the left side of ttv^\afc\fc.\% ^iwrv^^V'a^ 



70 



INSTRUCTIONS TO TOPOGRAPHERS. 



the corresponding weight before it is used in any way; where c» is 
used this results in canceling all of the corresponding products-^in 
other words, the side may be omitted from the table of correlates. 

Computations of distances. — These are to be made in book 9-901. 
The triangles are arranged in order from a given base or known side , 
one page or part of a page being taken for each new station. For each 
triangle the adjusted spherical angles and the spherical excess are 
given to hundredths of seconds. 

Example of computation of distances. 



Station. 



Spherical | Spherical 
angle. excess. 



Browning 50 10 29. 11 

Elk 86 09 S3. 23 

Dick 43 39 38. s6 



0.30 
•30 
•30 



Plane angle. 
9.8853615 



// 



50 10 28. 8z 
86 09 52.93 
43 39 38. 26 



180 00 00. 90 180 00 00. 00 

Miles, i6. 827 Browning to Elk. 

Miles. 24.319 Browning to Dick. 



Log sines 
and dis- 
tances. 



4. 4789254 
0.1 146385 
9.9990263 
9.8390917 



4« 4326556 
4- 5925902 



After the adjustment of several overlapping figures has been com- 
pleted, it is occasionally necessary to find the length of some line 
joining two points which has not been included in the adjustment. 
Such lines may usually be computed by the formula for "two sides 
and the included angle. " ^ 

The rule for the solution of plane triangles for which the three 
angles and one side are given is that the sides are proportional to the 
sines of the opposite angles. By always arranging the angles in the 
above form with the new station first, the solution is made somewhat 
mechanical. The logarithms of the sines of plane angles are, of 
course, used; that for the angle at the new station from which dis- 
tances are required to the other two stations is written immediately 
above the angle; its arithmetical complement (10 minus the sine) 



» Geoirraphic tables and formulas, p. 8; Bull. U. S. Geol. Survey No. 234, 1904. p. 8. 



TRIANGULATION COMPUTATIONS. 



71 



is written to the right and on line with the angle. Each of the other 
sines is placed on line with the angle to which it relates. Imme- 
diately above the sines is written the logarithm of the distance in 
meters between the second and third stations in the triangle; in the 
example this is 4.4789254 for the line Elk to Dick. 

To get the logarithm of the distance from the new station (Brown- 
ing in the example) to one of the other stations, omit the sine opposite 
the latter and add together the remaining logarithms in the right- 
hand column. The distance to thousandths of a mile for each com- 
puted line must be found and placed to the left of the names of the 
terminal stations. The work should be verified by comparing dis- 
tances for each line that has been computed from two or more 
triangles: 

Computation of geodetic coordinates. — For this work use book 9-902 
and check results by computing each position from two stations 
which form a triangle with the new station. For convenience, only 
one of the computations is here given: 



// 



Azimuth a: Elk-Dick q6 56 01.12 

Spherical angle at Elk 86 oq 53. 23+ 

Azimuth a': Elk-Browning 183 05 S4- 35 

Aa+i8o* 180 00 36.47 

Azimuth (a): Browning-Elk 3 06 30.82 

Geodetic Coordinates. 

LATITUDE- 

e / n 

<f> 37 2S 47-32 

A<f> J4 37'Zoi-i-) 



LONGITUDB. 



o / 



// 



^' 37 43 2442 

Computation for latitude: 

logs 4.4326556 

log B 8. 5110415 

log cos a' — 9- 99Q3(i47(.—) 



Elk. 
Browning. 



X 82 00 16.16 

A A 59.77^ 



A arc and sine 
{log s)... —13 
{logY).. +00 



X' 81 59 16.39 

Computation for longitude: 

log s 4. 4326556 

log sin a' 8.7328074^—) 

log A' 8. 5091756 

log sec ^' 0. 1018382 



log (I) 2.943o6i8{-) 

log s* 8.86531 

logC 1.28943 

log sin' a'... 7-46561 



•13 



A a and s . 



(-/J) 



log (V) 1. 7764755^") 

59' 769- 
AX 59-77— 



log (II) 7' 62035 



72 



INSTRUCTIONS TO TOPOGRAPHERS. 



logD 2.y77i 

logll+IiP.. S'8Ui 



Computation for azimuth: 
log(V) t'776476{'-) 



log (III) 8.Z632 



'og E. 



6. 0528 



logs* sin* a\ 6.330Q 

log (I) 2.Q43li—) 



-log (IV)... 5'3268i+) 
Computation for latitude: 

(I) 877'i26{-) 

(II) 004 + 

(III) 018 -¥ 

(IV) ooo{+) 

-A<^ 877'I04{-) 

I II 



• 1 

4137-28- 

4^*37 43 


II 

-47-3 
24.4 


log sin (^i^'^ Q. 785450 
log sec ( — — ) 0.000000 


72 


11.7 
II 


37 36 


06 


log (VI).. i.56i926i-) 

-Aa 36".47i-) 

Aa 36".47i+) 

Azimuth check. 



[i+m 877.122 

log [I +11] 2.94306 
logH+IiP 5'886i2 



Spherical angle 
at Browning 



• I II 

S3 16 59.94 
3 06 30.82 

50 10 29.12 
50 10 29.11 



A^ 14 37.ioi+) 

Computation of Azimuth a, in Book 2752, page 21. 
Spherical angle and distances — s, in Book 2751, page 9. 

Computed by D. M. E. 

[Note. — The signs (+) or (— ) placed after logarithms are the signs of the cosines or 
sines of the azimuth used in the computations.] 

In this example the azimuth, 96° 56'' 01''^. 12, is derived from a 
previous computation. The spherical angle is that at Elk from the 
adjusted figure. Whether to add or subtract this can be determined 
very easily by inspecting a plat of the stations, but when for one of 
the pair of computations the spherical angle is added, the other is 
always subtracted. The latitude and longitude at Elk are also 
derived from a previous computation. Logarithm s is the logarithm 
of the distance in meters between Elk and Browning. The constants 
B, C, D, and E are from "Geographic tables and formulas"^ for the 
known latitude at Elk. (Cosine 2/ and sine 2/ are fimctions of the 
azimuth Elk to Browning. The algebraic sign of each of these as 
fixed by trigonometric rules determines the sign of the resulting 
quantity. The signs of (II) and (III) are always positive; that for 
(IV) is always opposite to that of (I). The constant A'' and secant ^^ 



1 See also Special publication No. 8, Coast and Geodetic Survey, 191 1. 



TRIANGULATION COMPUTATIONS. 73 

in the longitude computation are for the new latitude, which requires 
that the latitude computation be made first. These two factors will 
be the same for each of the pair of computations for the new position. 
For short lines, corrections (III) and (IV) will usually be less than 
o.oi^^ and may be neglected. 

When the logarithm of distance s in meters exceeds 4.0000000, a 
correction will usually be required for logarithm (V) for the differ- 
ence between the arc and sine. The constants for computing this 
are given on page 269 of *' Geographic tables and formulas, "^ the argu- 
ments being log distance s and log (V). The difference between 
the values found is to be applied, according to the sign of the greater, 
to log (V) before finding the value of the latter in seconds. 

Six places of decimals will usually give sufficient accuracy for 

log (VI). The logarithm of secant (^^ ) may be taken from page 

268 of the tables. When log (V) is large, say over 3.5000000, a cor- 
rection in seconds will be needed for Aa expressed by the factor 
^X^ F. The logarithm of (V) is multiplied by 3 and added to the 
logarithm of F, which is given in the tables; the value in seconds 
for the resulting logarithm is always to be added to the previously 
found value in seconds for (VI). 

The latitudes and longitudes for each point thus computed in 
pairs should agree within one or two hundredths of a second. The 
difference between the two reverse azimuths should also agree 
with the corresponding adjusted spherical angle within one or two 
hundredths of a second. 

The formulas for finding azimuth and distance between points 
whose latitude and longitude are known and the form for 3-point 
computations are given in "Geographic tables and formulas."' 
Special blanks for 3-point work may be secured by application to 
the Washington office. 

Tabulation of results. — ^The final step in the computation of trian- 
gulation is the tabulation of the results. A printed blank is used; 
on it is written the name of the station, the State and county in which 

1 See ako Bull. U. S. Geol. Survey No. 234, 1904, p. 264. 
' Idem, pp. 14 and 365. 



74 INSTRUCTIONS TO TOPOGRAPHERS. 

situated, the kind of signal and the center mark tised, a full descrip- 
tion of the station (see p. 51), the latitude and longitude, the azimuth 
back azimuth, and logarithms of distances in meters to all other 
stations from which it is visible; also for each logarithm of distance 
the corresponding distance in miles and thousandths. 

PRIMARY TRAVERSE. 

FIELD WORK. 
PERSONNEL AND OUTFIT OF PARTY. 

In primary traverse the party consists of an instrument man in 
charge, a recorder, two chainmen, and two rodmen; also a cook and 
a teamster when camping is necessary. 

The following supplies can be obtained on requisition; 

One transit, graduated to 30 seconds, and furnished with stadia wires. 

Two 300-loot steel tapes, graduated to feet throughout. 

One 100-foot steel tape. 

Two red and white transit rods. 

Two plumb bobs. 

Eleven tally pins. 

Four hand recorders. 

Two electric hand lamps. 

One tape repair outfit, punch, and rivets. 

Three tape clips, temporary repairs. 

Two tape holders. 

One set steel dies, figiu^es. 

One set steel dies, letters. 

Three large book bags. 

Standard bench-mark tablets or posts (according to the requirements of the 

country). 
Canteens. 
Cement (in cans). 

Drills, hatchet, hammer, post-hole digger. 
Primary traverse field notebooks gr92S. 
Chainmen's notebooks 9~939- 

Blank notebooks 9-896, or 3 by s inch pieces of nianila paper. 
Book of instructions. 

The instrument man must carry a reliable watch. 



PRIMARY TRAVERSE FIELD WORK. 75 

PREPARATORY WORK. 

Location of litie. — Primary traverses should always be run in cir- 
cuits or ,tied to points previously located. In 15-minute quad- 
rangles, in country where routes can be readily planned, traverse 
lines should follow as closely as possible the borders of the quad- 
rangles to be controlled, not departing from them more than is abso- 
lutely necessary to keep on roads. If there is a choice of roads, select 
the one in unmapped areas. An additional line should be run to 
bisect the quadrangle. 

In areas where the country will not permit this plan to be followed 
economically and where the selection of routes for the lines must be 
influenced by the location of highway's, it will be necessary to plan 
the routes to meet the specific requirements. 

Permanent marks. — In regions where topographic conditions per- 
mit, tablets or iron posts (see C and F, PI. I, p. 46) must be set as near 
as possible to each corner of each 15-minute quadrangle, one on each 
side halfway between the comers and one in the center of the quad- 
rangle, making nine in all. All such marks must be stations on 
the line and should be stamped '*Prim. Trav. Sta. No. — " (num- 
bered consecutively) and also with the year of survey. In areas 
which can not be traversed according to the regular plan, permanent 
marks must be established at intervals not greater than 6 miles. 

In cooperating States use the appropriate State post or tablet {A , 
PI. I, p. 46). 

Where level bench marks have been established along the route of 
survey, they should be tied to and stamped as above and thus made 
to serve as permanent marks on the traverse line. 

It is desirable that every permanent point be tied to two or more 
witness or reference points, the bearings, distances, and descriptions 
being duly recorded in the notebook. 

Secondary points. — Besides the permanently marked points, a 
number of other points should be carefully located along the traverse, 
and these points should be specifically designated in the field notes. 
Of special importance are the crossings of boundaries of States, 
counties, and civil townships, and the location^ of the principal 
cross roads, of railroad stations when the line follows a railroad, and 



76 INSTRUCTIONS TO TOPOGRAPHERS. 

of township and section corners if the region is subdivided by public- 
land surveys. Note should also be made of less important land- 
marks, such as road forks, mileposts, railroad switches, road and 
stream crossings. These points should be so completely described 
in the notebook as to be readily identified. 

TAPING. 

Duties of chainmen. — The front chainman carefully marks off each 
tape length; if on a wagon road, with tally pins; if on a railroad, with 
keel on the rail. Each time he marks off a tape length he registers 
it on his hand recorder; each time the rear chainman reaches the 
mark left by the front chainman he does likewise. When a transit 
station is established the two chainmen compare their hand recorders 
for check on the measurement. Should they differ, the course must 
be remeasured. 

Transit stations should be made at even tape lengths or even 
lo-foot marks, wherever possible, in order to simplify the work of 
the computer. They should be selected at points affording not 
only an imobstructed view back to the transit but also a clear view 
forward. Each station is to be marked, if on a wagon road, by a 
ID-penny nail driven into the ground through a piece of paper on 
which the front chainman has written the number of station and 
distances; if on a railroad, by a keel cross on rail, with number and 
distance on nearest tie. 

Stations on main lines are to be numbered consecutively, begin- 
ning with zero; those on short spur lines to section comers or other 
points to be computed are to be lettered instead of numbered. Sta- 
tion numbers should never be duplicated in a single locality. 

The two chainmen must keep in book 9-929 separate records of the 
number of stations and distances between them. At noon and at 
night these records must be compared with the recorder's notes, and 
should there be a difference, it must be corrected before the line is 
carried forward, the line being retraversed if necessary. 

In locating transit stations the front chainman should bear in mind 

that it is desirable for the instrument man to be able to sight the 

bottom of the rod in each direction. This is especially important 

OJ7 short sights, for errors due to sighting the upper part of a rod which 

be out of plumb may appreciably affect t\vct aiccMracy of the line. 



PRIMARY TRAVERSE FIELD WORK. 'JJ 

Method of measuring, — ^When measuring along a wagon road the 
tape must be kept horizontal unless the grade is very slight; on 
steep slopes a plumb bob must be used either to bring the tape end 
vertically over an established point or to establish a new one, as the 
case may be. Judgment should be used in selecting the proper 
length of tape on slopes; no attempt should be made to use the 
full 300-foot length; about 150 feet is ordinarily all that a chainman 
can hold horizontal with the proper tension and plumb at the same 
time. On slopes that require "breaking" the tape into short sec- 
tions, the entire tape should first be drawn forward its full length 
by the front rodman if convenient, or by the front chainman, who 
then returns to help "break** the tape at the proper places, until 
the end of the tape is reached. In this manner the distance is meas- 
ured on the whole tape and does not depend on the sum of the 
separate horizontal measurements. 

Some tension must be put on the tape, but the use of a spring 
balance has been found by experience to be unnecessary. 

Errors in taping. — The errors that most seriously affect the accu- 
racy of taped lines may be classed under two heads. 

The errors of one class are due to failure to keep the tape horizontal 
and to careless plumbing. The instrument man should impress 
chainmen with the fact that the accuracy of traverses depends on 
their work more than on the instrumental work, for the latter is 
checked at every azimuth observation, whereas there is no check on 
the taping until the circuit is closed. 

The errors of the second class are gross mistakes arising generally 
from carelessness in counting tape lengths. They may be eliminated 
by checking the count of tape lengths by independent measurements. 
To do this, the instrument man should read each distance by stadia 
on the red and white transit rod or on a special stadia rod carried 
for this purpose. In case the distance is too great to be read by a 
single sight, he should set up the transit between stations and read 
both front and rear rods. Stations should in no case be more than 
2,600 feet apart, which is about the limit of visibility of the rod. 
On railroads an additional check on the taping may be had by coimt- 
ing rail lengths. This should be done by both rodmen and by the 
recorder, or by the instrument man while moving from one ^ta.<kscL 
to the next. In other places a check ma.7 \i^\v8AVj -^^^va?^. 



78 INSTRUCTIONS TO TOPOGRAPHERS. 

OBSERVING AND RECORDING. 

Deflection angles. — At each station, in reading deflection angles, the 
instrument man should proceed as follows : Sight rear rod with transit 
circle set at last reading at previous station, transit telescope, sight 
front rod, and read both verniers. Turn instrument with the two 
plates clamped, the vernier remaining undisturbed; sight rear rod 
again and remeasure the angle. If the two results thus obtained 
differ more than tof\ repeat the operation. 

When the transit is carried from ore station to the next, keep the 
upper plates clamped so as to retain the last vernier reading; after 
setting up the instrument verify the reading and use it as the first 
back sight reading at the new station. It may at times be necessary, 
in order to get the best pointing on the rod, to change the reading a 
minute or two, but by following this general plan a useful check on 
the readings is secured without trouble. 

Azimuth observations. — Observations on Polaris for azimuth must 
be made at the close of each day's work, if the weather permits. On 
a crooked line with many short cotu^es azimuth stations should be 
not more than loo stations apart; on a traverse with long tangents 
they should fall not more than 15 miles apart. These requirements 
may necessitate going back over the line in order to make the neces- 
sary observations, but if conditions are favorable it is possible to make 
azimuth observations in broad daylight. 

Both the transit and the azimuth mark must be at stations in the 
traverse not less than 500 nor more than 1,500 feet apart. Each 
point should be marked by a stake with a tack, or, if on a railroad, 
by a nail in a tie. The azimuth mark may consist of a vertical slit 
one-eighth inch wide and 6 inches long cut in the side of a box or tin 
can containing a candle or lantern, which should be carefully cen- 
tered over the tack in the stake. In pointing the telescope tise the 
electric hand lamp to illuminate the cross wires, holding it nearly 
in front of the object glass, or allow it to shine on a piece of paper 
fastened in front of the object glass with a rubber band and haying 
in it a half -inch hole. 

Angles should be read as follows: Set on azimuth mark, then on 
star; reverse telescope, set on star again, and then on azimuth mark. 



PRIMARY TRAVERSE FIEI.D WORK. 



79 



Each observation should consist of not less than three direct and 
three reversed measurements, the circle being shifted for each set 
by about 60° . (See sample page of record below. ) Observations may 
be made at any time the star is visible, but preferably when at or 
near elongation. The time of setting the cross wires on the star must 
be recorded to the nearest second. Observations should be made 
rapidly; not more than 15 minutes need be taken to complete a set, 
The notes must be kept in the following form : 

Date, Sept. 10, 1912. Line from Pikeville west to Dayton, Mo- 
Azimuth observation 2.5 miles southeast of Dayton, Mo.. Sept. 10, 1912. Mag. 

bearing sta. 327-328 N. 59" 30' W. Lat. 39° 00'. Long. 92" 15'. 
Instrument at station 327- Mark at station 328. Watch 35 seconds fast, 90th 

meridian time. 



Point. 



Mark. 
Ster» 
Star.. 
Mark. 

Mark. 
Starff 
Star.. 
Mark. 

Mark. 
Star* 
Star.. 
Mark. 



Vernier A. Vernier B. 



2 30 54 
274 48 

94 50 
40 56 

352 02 

45 57 

22s 57 

172 02 



n 

00 

00 < 

30 i 

00 ■ 

I 
I 

30 ; 
00 I 
00 I 
00 i 



99 OS C30 
153 01 30 
333 02 30 
279 06 30 



40 54 00 
94 48 00 

274 SO 30 
220 56 00 

172 02 00 

225 56 30 

45 57 00 
352 02 30 

279 06 00 

333 01 00 

153 03 00 

99 06 00 



Mean. 



Deflection 
angle. 



o / // o / // 



Azi- 
muth. 



40 54 00 
94 48 00 
94 50 30 
40 56 00 



t>l 54 00 
53 54 30 



172 02 15 




225 56 45 


53 54 30 


225 57 00 


53 54 45 


172 02 15 




99 05 30 




153 01 15 


53 55 45 


153 02 45 


53 56 30 


99 06 15 






53 55 00 
Watch fast 




Corrected t 



o Reverse telescope between each two readings on star. 



Time. 



H. m. s. 

8 31 33 
834 48 



8 40 28 
8 41 50 



8 43 55 
8 44 S6 



8 39 35 
35 



8 39 00 



The latitude and longitude of each azimuth station, scaled from 
the best map available to the nearest minute, should be given, 
together with the date of observation, on the page with the other 
records, in order to enable the computer readily to convert standard 
to local mean time. 



8o INSTRUCTIONS TO TOPOGRAPHERS. 

In case unfavorable weather prevents the taking of the azimuth, 
leave adequate marks at a point selected, before proceeding with 
the line, and return to them later to make the observations. 

Waich error. — The instrument man must carry a reliable watch and 
keep it in good condition. He should ascertain its error daily by 
comparison with telegraphic time, which is sent over Western Union 
lines once a day. In case he has no opportunity to make this com- 
parison while running the line, he should do so as often as possible, 
figure the rate of error per day, and record the proper correction for 
each azimuth observation made. A watch error of 20 seconds or less 
will not appreciably affect the accuracy of the determination. At 
least once in each notebook he should state whether he uses standai-d 
time; if so, for what meridian. 

Magnetic declination. — A careful reading of the needle for magnetic 
declination should be made at frequent intervals and recorded 
opposite the proper station number in the notebook. Such deter- 
minations should be made at each azimuth station and at favorable 
points along the line where the needle is not likely to be affected by 
rails, electric wires, or similar disturbing elements. At azimuth 
stations determine the magnetic bearing of the azimuth mark at the 
time it is established. If the line follows a railroad, magnetic 
determinations should be obtained from a parallel line at a distance 
of 25 yards from the rails or wires. 

Field record. — Complete notes must be kept by the recorder in 
book 9-928, to be written in a plain, neat hand with a No. 4 pencil. 
The blanks in the title-page should be filled in the first day the book 
is used. A single line should be drawn through erroneous records, 
which must never be erased. 

The recorder must take down the vernier readings, as they are 
called off by the transit man, and compute the mean pointings and 
deflection angles, giving proper signs to the latter. He must keep 
up vnth the instrument man in these computations, as they enable 
him to note by inspection whether the instrument man has made 
errors in his readings and to call attention to them before the instru- 
ment is removed from the station. He should take special p^ns to 
see that the degree and minute numbers for the two verniers are 
consistent and are recorded in the proper column. 



PRIMARY TRAVERSE FIEI<D WORK. 



8£ 



The notes are to be kept in the following form: 

Date, Sept. 9, 1912. I«ine from PikeviUe to Dayton, Mo. 



Stations, dis- 
tance between. 



Vernier 
A. 



Vernier 
B. 



Mean. 



Sta.326:3tapes 



Sta.3a7: 4 tapes 

H-I20=» 



i 



// 



// 



// 



316 51 30 
275 06 00 
233 21 00 



[233 21 30 


53 32 00 


279 04 30 
324 48 30 


99 OS 30 
144 49 30 



136 52 30 I3I6 52 00 
95 07 30 '375 06 45 
S3 22 00 333 31 30 



233 ax 45 

379 OS 00 

324 49 00 



Sta. 337+90 feet, stream crossing 

Sta. 327+430 feet, crossroad at Tanbark P. O 



Sta. 328- 



<o° 



324 48 30 

343 08 00 



144 49 30 324 49 00 
163 09 00 343 08 30 



359 27 00 1179 28 00 359 27 30 



Deflec- 
tion 
angle. 



/ // 



41 45 15 
41 45 15 



-41 45 IS 
45 43 XS 
45 44 00 



+45 43 37 



17 19 30 
X7 19 00 



+17 19 XS 



Azimutb. 1 Remarks. 



O / // I 

'^123 35 00 

I 



b 81 49 45 
C81 49 47 



Stadia 905. 



Sta. 327-328 
N.59°3o'W. 
Stadia 1,330. 



6127 33 23 j 
C127 33 26 I 



*I44 52 37 
Cx44 52 43 



Stadia 360. 



a Written in red ink. & Written with black pencil. c Written with black ink. 
NoTB. — The entries in the azimuth column are a part of the office computation. 

The record must contain also a description of the starting and 
ending points of the line, of each permanent mark established along 
the line, of each point which is to be computed for the use of the 
topographer, and of all crossings and other landmarks that may be 
of value to him. Such descriptions should be concise, yet full 
enough to leave no possible doubt as to the identity of the points 
described. Each should be supplemented by an explanatory sketch 
if necessary. 

Example of description of permanent mark: 

Station 1025, bench-mark tablet stamped " Prim. Trav. Sta. No. 4, 1912," set in 
sandstone ledge, top of Walden Ridge, 3 miles northwest of Dayton, Mo., at junc- 
tion of Dayton, Pikeville, and Morgan Springs roads, 335 feet west of residence of 
John Neilson. Reference marks: Cross cut in ledge 60.25 feet N. 25" 30' E.; spike in 
root of white oak tree 14 inches in diameter, 75.60 feet N. 45** 15' W. 

66512 — 13— —6 



82 INSTRUCTIONS TO TOPOGRAPHERS. 

Examples of description of points to be computed and other 

landmarks: 

« 

. Station 625+730 feet [center of crossroads at Antioch Church]. 
Station 7^0+330 feet, cast abutment of bridge over Glade Creek. 
Staticm 73a is road fork at Johnson blacksmith shop. 
Station 936+aio feet [center of track opposite semaphore, Lee station]. 
Station 936+300 feet, road crossing one-half mile east of Sequatchie railroad bridge. 

Each point to be computed should be marked with brackets in 
ink immediately upon its selection by the instrument man. 

As soon as the records in a field book are completed 1 it should, if 
not needed for reference, be sent at once to the Survey office in Wash- 
ington by registered mail. Chainman's books should be sent sep- 
arate from other notes and on another day. 

PRIMARY TRAVERSE COMPUTATIONS. 

The steps in primary traverse computations are as follows: 

Computation of azimuths. 

Computation of observations on Polaris. 

Computation of the deflection angles. 

Adjustment of closing errors. 

Computation and tabulation of latitudes and departures, which are the north and 

south distances and the east and west distances, by two computers working 

independently. 
Computation of latitudes and longitudes. 
Adjustment of closures in position. 
Computation of diagonals. 
Tabulation of results by atlas sheets. 

The computations are made in books 9-938 and 9-931. The 
abstracts of results (7) are placed on long sheets of blank paper. 

Computation of azimuths from observations on Polaris. — First find 
the mean of time of observations and corresponding mean of angles 
meastu'ed between mark and star (p. 79). Having given the ap- 
proximate latitude and longitude of the azimuth station, compute 
the true azimuth of star by the tables published annually by the 
General Land Office. 



PRIMARY TRAVERSE COMPUTATIONS. 83 

Example of computation: The station (see p. 79) is in latitude 

39° 00^ N., longitude 92° 15^ W. 

//. m. s. 

Sept. zo, 1912, 90th meridian standard time of observation, p. m. (correc< 

tion having been made for watch error) 8 39 00 

Correction for a* 15' longitude west of 90" — 9 00 

Local mean time of observation 8 30 00 

The nearest upper cuhnination <^ Polaris as given in the tables is that for 
September 11 at a'* 9.6™ a. m., Greenwich mean time, civil date. The 
correction, always negative, to reduce this to local meridian is: 

?-^ of the daily change (3.9™)= — !" o«. 
360 

H. w. 

Local mean time of upper culmination (Sept. xi , a. m.) a 08. 6 

Hour angle, being the interval between time of observation and 

time of culmination ^ 5 38. 6 

With this hour angle as an argtunent and the declination for the given date 
(88* so' is"), find by double interpolation from the table of "Azimuths of 
Polaris" in the Land Office tables the azimuth angle for the latitude • r 

and time x 29. s 

Since the star had not reached upper culmination, it is east of north, or, 180** 

being added, has an azimuth of xSi a9. s 

Angle between mark and star (p. 79) (star east of mark) $3 55.0 

Azimuth at station 327 to 328 127 34. s 

A rough check on this azimuth may be found by comparing it 
with the observed magnetic bearing, allowance being made for dec- 
lination. To interpolate for hour angles near elongation, use for 
the latter 5^ 55™. 

Each azimuth computation is to be made in the field notebook 
on the same page with the observations and the results written in 
red ink in the azimuth column of notebook (see p. 81) on the line 
with the station occupied. 

Computation of deflection angles. — The deflection angle is added 
or subtracted according to its sign, and the sum or remainder is 
written in pencil on the line with the mean deflection angle. The 
next deflection angle is combined according to its sign with this 

^ The hour angle will always be less than 12 hours and must be fotmd from the 
nearest upper culmination; when, as in this case, the nearest upper culmination is 
in the following day, add 12 hours to its time before subtracting the time of observa- 
tion. 



84 



INSTRUCTIONS TO TOPOGRAPHBRS. 



azimuth and the resott placed in pencil opposite the deflection 
angle used. This process is repeated until the next compated 
azimuth, written in red ink, is reached. 

The last azimuth in pencil will pcobably not agree with the ob- 
serred azimuth. For any line not running due north or south 
there will be a discrepancy between observed and computed 
azimuths, due solely to convergence of meridians, which for lati- 
tude 30^ will be 0.5^ for each mile run east or west. For latitude 
49^ the amount will be zf. For any latitude the convergence in 
minutes d arc will be the difference in minutes of longitude between 
ends of line, multiplied by the sine ci the middle latitude. For 
lines running east the computed azimuth should be less than the 
observed. For lines running west it should be greater. 

Adjustment of closing errors. — If no large errors appear in the results, 
the discrepancy between computed and observed azimuths at the 
second station is to be divided by the number of stations and a 
proportional correction applied to each penciled azimuth, the 
corrected figures being written in black ink. 

Computation of latitudes and departures. — Latitudes and depar- 
tures are to be computed in book 9-931, as shown below: 

Line from Pikeville to Dayton, Mo. 



SUtion. 


Azxxnntli. *a^nf^ sine 


Cosine. 

0. 143 
.6x0 


Nofth. 


South. 


East. 


West. 


32610337 

337 + 430 


8x 49 47 900 a 990 
X27 34 30 430 . 793 


362 


138 




891 
341 




i 




1 

1 

"7 34 30 890 1 . 793 


.6x0 


363 

128 


X38 I 

1 


1.233 


337+430 to 338 


134 

543 






706 









Natural sines and cosines for the azimuth given are written in 

the appropriate coltmms. By means of Crelle's tables the products 

of these by distances are found and placed in the proper columns. 

The nnes multiplied by the distance give departures east or west. 

*&e sine is positive, the new point is west; when negative it 



PRIMARY TRAVERSE COMPUTATIONS. 85 

is east. Cosines multiplied by distances give latitudes north or 
south. When the cosine is negative, the new point is north; when 
positive it is south. The direction of the new point can readily be 
determined by noting the azimuth, remembering that 0° azimuth 
is for a line nmning due south, 90° for a line due west, 180° for a line 
north, and 270° for a line east. In the example 81° 49^ 47''^, being 
for an azimuth between due south and due west, will be to a point 
southwest. Four decimal places in sines and cosines should be 
used when distances are greater than 1,000 feet. 

When traverse tables for distances i to 100 for single minutes of 
arc are available, the latitudes and departures may be written in 
the north, south, east, and west columns direct for each azimuth 
and distance. 

Whenever a point is reached for which the latitude and longitude 
are desired, as at 327+430 in the example, leave six blank spaces 
for the computation. The data for the computation for such a 
point are foimd from the record on page 81, as follows: For the 
crossroad at Tanbark post office, which is on line between stations 
327 and 328, the azimuth is the same as to station 328. The distance 
by measurement is that given, 430 feet from station 327. In order 
to make the computations continuous, station 328 is taken as 
1,320— 430=890 feet from the intermediate point used, the azimuth 
being the same for both points. 

Computation of latitudes and longitudes. — The next step in this work 
is the computation of latitudes and longitudes. These should be 
determined for important points a mile or less apart. Assume, for 
illustration, that for station 326 (p. 81) the coordinates have been 
computed, and that 327+430 is the next location desired. Each of 
the four columns — ^north, south, east, and west — is summed, and the 
difference between the sums of the north and south columns is 
placed in the column of the greater. Likewise, the difference 
between the east and west columns is placed in the column of the 
greater. The computations of latitude and longitude and the 
descriptions of the points are placed on the right-hand page of the 
book opposite the group of stations. 

The logarithms of the geodetic constants for metric measiu^es, 
called "the A, B, C factors,*' are on pages 196 to 267, incluslv^^^^ 



86 INSTRUCTIONS TO TOPOGRAPHERS. 

Geographic tables and formulas.* Factors A and B are used to five 
decimal places only. These will be practically constant for a 
distance of lo or 15 miles north and south, the value for the middle 
latitude being used. 
For the example on page 84: 

Ix)g distance 134 (north) a. 12710 

"Log to reduce feet to meters 9. 48402 

Log B for latitude 39* 00' 00" 8. 51093 



Ob 12205 

The sum, 0.12205, is the logarithm of change in latitude in sec- 
onds between station 326 and 326+430=* 1.32^' (north).^ 
For change in longitude: 

Log distance 1,232 (west) 3. 09061 

Log to reduce feet to meters 9. 48402 

Log A for latitude 39* 00' 8. 509x4 

Log secant of middle latitude 10950 

Log of change in longitude in seconds' x. X9337 

New point west 15. 61" 

These differences are to be added to the latitude and longitude 
of station 326. 

To check the plotting, the distance between successive positions 
must be computed. As the lines are seldom as much as a mile in 
length and never over 2 miles, the latitude and departure can with 
sufficient accuracy be taken as the base and perpendicular of a 
plane triangle. The distance sought will then be the hypothe- 
nuse and its square will be equal to the sum of the squares of the base 
and altitude. For distances less than 10,000 feet Barlow's tables 
should be used in finding squares or square roots. The distance 
should be written in red ink, inclosed in a circle, on the right-hand 
page of the computation book in the blank space between the two 
stations referred to. After the record is complete its accuracy should 
be tested by computing a side from the given distance (hypothenuse) 
and the other side. 



^ See also Bull. U. S. Geol. Survey No. 234, X904. pp. 191-362. 
* Tabks have been published by the Survey for finding the logarithms of seconds of 
iUitit^ • f^mgitude direct from the logarithms of latitudes and departures in feet. 



LEVELING. 87 

Adjustment of closures. — These operations are repeated for each 
selected point until the traverse line closes back on itself or ties to 
another point previously determined. The errors of closure for a 
1$^ quadrangle, if not in excess of 1^^ in latitude or 1}^^^ in longi- 
tude, may be distributed proportionately between initial and clos- 
ing points. 

Where so many operations are involved, errors are very likely to 
creep into the computations. Therefore each step of the work 
should be checked as well as possible. The azimuth computation 
should be compared with the observed magnetic bearings; but 
because of the possibility of local variation little dependence can 
be placed on this comparison as a check. If the computed and 
observed azimuths for a line differ about 10^, look for an error of 
that amount in the deflection angle or in the adding and subtract- 
ing of deflection angles to azimuths. If the difference is larger, it 
is very likely that a wrong sign has been used for a deflection angle. 
To find the error, divide the difference by 2 and look for a deflec- 
tion angle with an incorrect sign equal to the quotient. Errors of 
about 180** occasionally result from the recorder placing the vernier 
readings in the wrong columns. By a careful inspection of the rec- 
ords it is sometimes possible to detect such an error. The latitudes 
and departures, as well as the other steps in the work, should be 
computed by two persons working independently of each other; 
after each has completed his work the results should be compared 
and differences corrected and verified. Errors are often due to 
incorrect multiplication by the distance, to the decimal point being 
in the wrong place, or to the product being written in the wrong 
column — in the north column when it should be in the south col- 
umn, etc. 

PRIMARY AND PRECISE LEVELING. 

DISTRIBUTION OF PRIMARY-LEVEL CONTROL. 

A sufficient amount of accurate spirit leveling should be done to 
insure the placing of at least two standard bench marks in each 
township or equivalent area 'surveyed, except in forest-clad or 
mountain areas, where at least one such mark should be placed in 
each township. 



88 INSTRUCTIONS TO TOPOGRAPHERS. 

Permanent bench marks should be established along level lines 
at intervals of approximately 3 miles, unless otherwise instructed, 
and in no case should the distance between bench marks exceed 
6 miles. 

BENCH MARKS. 

Permanent bench marks. — Bench marks should be established, if 
practicable, at the township comers of the public-land surveys, 
near all important lakes and reservoirs, at the crossings of impor- 
tant streams and divides, in every city or town passed through, 
and in the vicinity of important mines. They should be so located 
as not to be liable to injtuy or disturbance, yet should be so promi- 
nently situated as to be easily found. Along a railroad or highway 
bench-mark posts, if used, should be placed either outside of and 
close to the right of way or on the right-of-way line. They must 
not be set close to trees, telegraph poles, or fence posts. 

Standard bench marks consist eitiier (i) of tablets fastened with 
cement into solid rock in place or into masonry structures, such as 
the foundations of buildings or bridge piers, or (2) of iron posts set 
in the ground so as to project not more than z foot from the top of 
a conical mound of earth about 3 feet in diameter and 6 or 8 inches 
in height. (See PI. I, p. 46.) 

Portland cement in air-tight cans is furnished from the Washing- 
ton office for use in setting tablets. If good clean sand is available, 
it can be mixed with the dry cement in equal parts. The drill hole 
for the tablet must be well cleaned and wet. The cement and 
sand, or cement alone, if pure sand can not be conveniently pro- 
cured, should then be thoroughly mixed with water to a thick paste 
and the drill hole iilled with it. Into this the tablet should be 
pressed, the excess cement being forced out, so as to completely 
fill the space under the tablet face. In order that the cement may 
set well, it should be kept damp and protected from the sun for at 
least a day, and it must not be allowed to freeze for 12 hours. Dry 
earth or a piece of sacking will probably be sufficient protection. 
When a tablet is set in a vertical wall, it may be necessary to hold 
it in place by a prop of some kind fdr a few hotu's. 

The intersection of the cross lines on either style of mark is the 
/e^™"''' oolnt Beiore a tablet is set the figures indicating the 



IrEVEUNG. 89 

elevation (to the nearest foot only) are to be stamped into the metal 
before the word "feet." Posts should be stamped after they are in 
place. If a post or tablet is wrongly stamped, the levelman or 
topographer who discovers the error should immediately correct it 
by cutting out the erroneous figtu'es with a chisel and stamping in 
their place the correct ones. The facts should be promptly re- 
ported to the chief geographer. 

In cooperating States the name of the State must be stamped or 
cast on standard bench marks. 

If a tablet is inconspicuously situated, a mound of rock should 
be erected near it, the rock about it marked with paint, or a near-by 
tree blazed as a witness tree. 

The steel tape instead of the leveling rod can often be used to 
advantage for determining the elevation of a tablet set in a vertical 
wall. 

All standard bench marks should be used as turning points in 
the line, but where this can not be done their elevation must be deter- 
mined by two readings from different set-ups or from separate tempo- 
rary bench marks. 

Temporary bench marks. — Temporary bench marks must always be 
turning points in the main line and should be set at intervals ranging 
from half a mile to iX miles. They may consist ( i) of chiseled marks 
on solid rock or masonry, or (2) of copper nails (with washers) or spikes 
driven in telegaph poles, mileposts, fence posts, or trees. The copper 
nails with lettered washers must be used when practicable. Where 
there are no natural objects for temporary bench marks, pieces of iron 
pipe, about 20 inches long, may be used. Select a place where the 
mark mil not be likely to be disttu'bed and yet can be readily found , 
preferably near a road jimction, so that it may afford a convenient tie 
point for other levels or traverses. The location should be con- 
spicuously indicated by large figures in white or red paint, thus: 

US 

[elevation] 

BM 

Useful elevations. — Besides the bench marks a number of inter- 
mediate elevations are required for the use of the topographer, and 
these also should be selected with a special view to thfevt -^a.^^xJcast^* 



90 JNSTRUCTIONS TO TOPOGRAPHERS. 

in topographic mapping. The levelman should bear in mind that 
his work is not an end in itself but a preparation for the work of others, 
and that the accuracy with which his circuits check, though of para- 
mount importance, is not the only thing that determines its utility. 

Ground elevations should be painted conspicuously along the side of 
the road, on fenc.es, telephone poles, trees, or rocks. If practicable, 
they should all be marked on the same side of the road, preferably on 
the north or east side. 

The points at which elevations are particularly desired are the top 
of the rail at railroad stations, junctions, sidings, and crossings, the 
ground at crossroads, road forks, and bends; on summits and ridges; 
near schoolhouses and other public buildings, lone houses, and im- 
portant mines, quarries, and oil, gas, and artesian wells; on some 
permanent part of a bridge other than a wooden floor; the water sur- 
face of streams under bridges, at stream crossings, and above and 
below dams; and water surfaces on lakes and reservoirs. Where 
water-surface elevations are recorded, always give the date. 

The number of these elevations should be varied with the nature 
of the country and the contour interval; thus in rugged regions 
mapped with 50-foot or 100-foot intervals relatively few elevations 
are required (mostly on summits and in hollows); but in areas of 
gently rolling relief they should be more numerous. In flat areas 
where 5 or 10 foot contoiu^ are used, each contour crossing should be 
marked with a stake or otherwise. This is important, as in such 
areas a difference in elevation of a few tenths of a foot may mean a 
difference of several hundred feet in the location of a contour. 

Descriptions of bench marks and useful elevations. — Complete descrip- 
tions of all bench marks and useful elevations must be made in the 
notebook and copied in the description book (9-916) at the close of 
each day's work. A sketch must accompany the description of each 
standard bench mark, showing directions and distances to near-by 
objects. 

Descriptions should be written with items in the following order: 

I. Name of the nearest post office, town, village, or other well- 
known locality, with direction and distance from it to the bench 
mark in miles and tenths; or township, range, and section in which 
bench mark stands, with direction and distance from nearest comer. 



PRIMARY LEVEUNG. 9 1 

2. Position with reference to buildings, bridges, mileposts, street 
or road comers. 

(Items 2 and 3 should be written in direct form of speech.) 

3. Description of object on which the bench mark is placed — tree, 
bowlder, bridge, etc. 

(The above three items answer the question where and should be 
followed by a semicolon (;) and by item 4. which answers the ques- 
tion what.) 

4. Natiu*e of the bench mark — copper nail with washer, bolt, mark 
on rock, tablet, post, etc. — and how marked or stamped. Old bench 
marks must be fully described. 

Descriptions should be kept in the order in which the bench marks 
occur. If standard bench marks are not established when the line 
is first rtm, spaces should be reserved in description books for them 
in their proper order. A brief description of the line should be given 
at short intervals, especially when changing direction. When cir- 
cuits are closed, complete descriptions of closing points, closure error, 
old and new elevations, and page reference to connecting points 
should be given. A plot of all lines or circuits must be made on a 
page near the back of the description book for each group of circuits 
and the names of enough places to identify the line readily should 
be added. Boundaries of quadrangles should be shown, and also, 
if the area is covered by public-land surveys, the position of the line 
"with reference to township and section lines. Alongside of each line 
reference to the page of the description book where the record is made 
should be entered. The records in this book are incomplete without 
this diagram. 

PRIMARY LEVELING WITH Y LEVEL. 

Personnel atid outfit. — A primary-level party consists of a levelman, 
one or two rodmen, and in some cases a bubble tender. 
The instruments required are as follows: 

One ao-inch Y level. 

One or two New York rods. 

One or two plumbing levels. 

Two steel turning pins. 

One set dies (figures and letters). 

One 25-foot steel tape. 



92 INSTRUCTIONS TO TOPOGRAPHERS. 

Bendi-mark tablets or posts. 

Copper naib and washers for temporary bench marks. 

Cement in cans. 

Level notdxwks 9-903 (those in black covers to be used by levelmen; those in 

yellow covers by rodmen). 
Bench-mark description book 9-^x6. 
Two book bags. 

Other accessories to be purchased in the field: 

One or two hatchets. 
One drill hammer. 
One posthole digger. 
Stone drills (x|-inch bit). 

Character of lines. — Primary levels should be run as single lines in 
circuits wherever practicable, otherwise checked by rerunning, 
preferably in the opposite direction. No work is completed until 
it is checked in some way. Lines should be connected with near-by 
bench marks of railroads, cities, and other organizations. 

Accuracy. — The closure error of a circuit in feet should not exceed 

0-05 VlcJig^ oi circuit in miles. 

If it is greater than this, the facts must be reported to the geographer 
in charge immediately. 

Adjustment of instruments. — ^The adjustment of the level must be 
tested daily and corrected whenever it is found in error; the adjust- 
ments of the line of coUimation and of the level tube are especially 
important. 

The tripod clamping screws must be loosened before the instru- 
ment is set and tightened after the legs are firmly placed. After 
setting the target and before the **all right'* signal is given the level 
bubble should be examined, and if found to be away from center 
it must be corrected and the target reset. 

Equalization of fore and back sights. — In order to eliminate instru- 
mental errors and errors caused by curvature and refraction, it is 
very important that the length of fore and back sights be equalized, 
but when this is impracticable because of some obstacle, enough 
unequal sights to balance should be taken as soon as the obstacle is 
passed, provided this can be done before a readjustment of the level 



PRIMARY LrEVKUNG. 93 

is made. When the adjustment of the level is changed, further 
attempts to eliminate instrumental errors by the balancing of previ- 
ous sights are useless. The failure to balance sights is one of the 
principal sources of error. 

Maximum length of sight. — ^The maximum length of sight permissi- 
ble tmder the most favorable conditions is 300 feet, except when 
crossing rivers or deep ravines. In such places proceed as follows: 
Establish a turning point on each side; set up the level about 20 feet 
from each point in turn, taking in the first position a back sight to 
the near point and a fore sight to the distant point; then cross the 
stream or valley and take a back sight to the distant point and a fore 
sight to the near point. For very long sights several readings should 
be made on the distant rod; the mean of these determinations of 
elevation may be accepted as correct. 

Measuring of distances, — Distances may be measured by stadia 
readings on the rod, by cotmting rails if along a railroad, or by pacing. 
The distances in miles or feet of both fore and back sights must be 
recorded in notebooks in the proper columns. 

Unfavorable conditions, — ^Work on primary lines should not be 
carried on during high winds or when the air is boiling badly. Dur- 
ing very hot weather an effort should be made to go to work early and 
remain out late, rather than to work during midday. 

Inspection of rod. — ^When the rod is lengthened beyond 6.5 feet, 
both the rodman and the levelman must examine the setting of the 
target as well as the reading of the rod vernier. When the rod is 
closed they should see that the rod vernier indicates 6.5 feet, not 
depending on the abutting ends to bring it back to place. The lower 
end of the rod and the top of the tiuning point must be kept free 
from mud and dirt. 

Plumbing levels must be tested at intervals and kept in adjust- 
ment. 

Turning points. — The regular steel turning-point pin should be 
used wherever no rock or other suitable points are available. A 
marked point on the top of the rail may be used when running along 
railroads. 

Reading of target. — Both the levelman and the rodman must read 
each target setting independently and keep separate records. TVvjei 



94 INSTRUCTIONS TO TOPOGRAPHERS. 

mtist not compare figures until their respective records for a given 
sight are completed. If the difference exceeds o.ooi foot, each 
must read the rod again before comparing anything but results. 

Records, — ^All level notes must be recorded directly in book 9-903. 
Under no circumstances should separate pieces of paper be used for 
figuring or for temporary records. Use ink or No. 4 pencil, make all 
figures distinct, and do not crowd them. When two important 
bench marks come close together provide ample room for placing 
their written descriptions opposite the appropriate figtues by drop- 
ping the figures for the record one or more lines down the page. 
For a given H. I. (height of instrument) the rodman's notes must be 
at least two lines lower down the page than the levelman's and they 
must not ttun over a leaf at the same time. Erasures with rubber or 
knife are not permissible imder any circumstances; a single line 
should be drawn through an erroneous record and the corrected 
figures written above it. The flyleaf of each notebook must be 
properly filled in when the book is first used. 

Both the levelman's and the rodman's books must be balanced 
daily. At the bottom of each page, and at the end of the day 's work, 
each column of fore and back sight distances and readings should 
be shown to agree with the difference of elevation previously com- 
puted. This check must never be omitted and the computation 
mu^ appear on the page opposite the notes. Side sights which are 
not a part of the continuous line should be recorded in an extra 
column or within brackets. 

>^Tien field work is completed notebooks should be forwarded 
promptly to the Washington office of the Survey by registered mail, 
the levelman's books in one package and the bench-mark book and 
rod man books in a separate package and on another day. 

PRIMilRT LBVSLINO WITH YARD ROD AND PRISM LEVEL. 

Personnel and outfit. — A prism-level party consists of one levelman, 

two rodmen, a recorder, and an umbrella man. 

The instruments and outfit consist of the following: 

One prism kveL 

Two yard rods, cadi to have plumbing level and thermometer attadied. 
Oae steel tape (95 feet). 
TWo steej tuming'point pins, hollow head. 



PRIMARY IrEVEUNG. 95 

One Irocke level. 

One umbrella with staff. 

One set dies (figures and letters) . 

Bench>mark tablets or posts. 

Cqpper nails and wt&hers for temporary bench marks. 

Cement, paint can, keel, and other accessories. 

Two book bags. 

Prism level notebook 9-940. 

Bench-mark description book 9-916. 

Character of lines. — Priinar>' levels executed with a prism level 
need be run in one direction only, but must be in circuits or other- 
wise checked. 

Accuracy. — Circuits must close with an error in feet not exceeding 

0.04 ^length of circuit in miles, 
which is equivalent to 

0.056 .^distance between bench marks in miles 

for forward and backward lines. 

Graduation of rod. — The rod used is graduated to yards, tenths, 
and hundredths, and is read by estimation to thousandths. Each 
yard has a diiferent and distinctive color, which must be recorded 
for each reading. One edge of the rod has also graduations in feet 
and tenths for use as a check on yard readings. 

Locke levels. — In a hilly country time can often be saved by supply- 
ing each rodman with a Locke level, by means of which the rodman 
can select the places for setting up the level and for turning points. 

Ratio of wire intervals. — The rod is read with each of the three 
horizontal wires in the instrument. The mean of the two wire 
intervals in thousandths of a yard as read upon the rod should equal 
the distance to the rod in feet, but this should be tested. As the 
upper and lower wires are not always equidistant from the middle 
wire, the ratio of the wire intervals must be determined from the 
first day's level notes for use as specified in the next paragraph. 

Methods of reading. — The program at each set-up is as follows: 
After the tripod is firmly set and the clamp screws tightened, level 
approximately by the circular level, which has been adjusted by 
comparison with the long level. Point the instnwasft.'ivl^jcr^'^^*'^^ 



96 INSTRUCTIONS TO TOPOGRAPHERS. 

rod and clamp; bring the level bubble to the center of the tube by- 
means of the micrometer screw. Read on the rod, and first call off 
the color initials for the lesser and greater extreme readings; second, 
call yards and tenths for each wire, taking the smallest reading first; 
third, repeat and read yards, tenths, hundredths, and estimated 
thousandths; fourth, for additional check on the yard ntunber, 
read the middle wire on the tenths of feet scale on the back of the 
rod. Before the level is moved the recorder should first see that 
the color agrees with the yard readings; second, he must compute 
the two wire intervals and if their ratio one to the other differs more 
than I per cent from the true ratio (see preceding paragraph), the 
levelman must repeat the readings; third, he must compute the 
mean reading in feet by summation, and test units and tenths by 
mentally multiplying the middle reading by 3, also by comparing 
with the reading on the scale on the back of the rod. An agreement 
must be reached before the next sight is taken. The temperature 
must be recorded for each hour. 

Level adjustment. — ^When the work is commenced, and at least once 
each day thereafter, the adjustment of the level must be tested by 
the "peg method" as follows: 

At some convenient set-up, after the usual back-sight and fore- 
sight readings have been recorded, copy the fore sight on a separate 
line as a new fore sight apart from the leveling record, leave the 
fore-sight pin in place, and set a second ttuning pin about 30 feet 
back of the instrument; read rod on it for a new back sight; find 
from these the mean readings in feet as usual. Move the level for- 
ward to a set-up about 30 feet back of the fore-sight pin and take 
readings on the fore-sight pin and then on the back-sight pin. The 
constant "C," which is a factor of the adjustment correction, must 
then be determined thus: Sum of readings on near rods minus 
that on far rods, corrected for curvature and refraction in feet, 
divided by three times the difference between the simi of the greater 
and that of the lesser rod intervals in yards. 

The rod interval for any sight is the difference of extreme wire 
readings. 



PRIMARY LEVELING. 



97 



Example of computation of C, 
[To be made in the field,] 

Determination of C, S.so a. m. August 28, 1910. 



Thread 
reading. 



Thread 
interval. 



Sum of 

thread 

reading. 



1.5x5 j 0-013 
X. 528 I . 014 



1-543 

2. 252 
2.357 

2.462 



027 

.105 
105 



4-585 



210 
209 



7-071 
1-385 



419 
052 



8.456 
—0.0005 



• 367 yds. 
3 



8-4555 



I 



I. zoi ft. 



419 



The fraction —210 feet=sum for far-rod distances. 

. 002 



/Si. ' Sum of thread Thr««i 
ment. 



I reading. 



I 



1.386 



' 3-865 
4-585 

' S. 450 

! 8.4555 



1. loi)— . oo55(— o. 005 



Thread 


Thread 


interval. 


reading. 


0. los 


0-357 


.104 


.46a 
.566 


.309 


.012 


1.276 


.013 


x.aSS 

I- 301 


.025 


• 025 


.027 




.052 



For correction to be applied to the sum of readings on distant rods 
for curvature and refraction, see table in back of field book 9-940. 

When the sum of the readings on the near rods is the greater, the 
sign of C will be plus, and vice versa. Great care must be taken in 
pointing off decimals and in giving proper signs. 

Adjustment of bubble. — If the resulting value for C numerically 
exceeds 0.005, ^^ adjustment should be made by changing the po- 
sition of the level bubble only, as follows: 

Point to a distant rod with the bubble in the middle of the tube 
and read; move the telescope (by micrometer screws) so as to 
raise the middle cross wire by an amoimt which in yards is equal 
to C times the extreme wire interval. While holding the telescope 
in this position, bring the bubble to the middle of the tube by 
66512 — 13 — 7 



98 INSTRUCTIONS TO TOPOGRAPHERS. 

raising (or lowering) one end of the level vial with the adjustment 
wrench; if C is negative, the middle wire must of course be lowered 
on the rod. After the adjustment has been made* its accuracy 
should be tested by redetermining the value of C. 

In case the cross wires break and the level-tube adjustment has 
not been disturbed, insert new spider threads and determine a 
value of C, as above directed. Compare with the last determination 
of C, and adjust for the difference by changing the position of the 
cross- wire ring only — ^not the level bubble. 

When both level and cross wires have been disturbed the latter 
can be put in proper position by means of improvised wooden wyes 
in which the telescope is turned while watching a clearly defined 
point through it, the operation being the same as for the coUima- 
tion adjustment for a Y level. 

Care of instrument. — When the level is on the tripod, be sure that 
the central tripod clamp screw is tight. Keep the telescope off the 
micrometer-screw bearing while carrying it between stations. Leave 
the three tripod wing nuts loose when carrying; clamp tight when 
tripod is in place for work. 

The level must be shaded by an umbrella when in use and by a 
cloth hood when carried between stations. In rough country the 
place to set up the rod or level can be quickly found by means of a 
hand level. 

Care of rods, — ^The rods must always be kept covered when not in 
use. The painted sides must never touch the groimd. Should 
difficulty be fotmd in holding a rod steady because of wind, two 
pieces of bamboo or other light poles, 8 feet long, may be held by 
the rodman against the rod, so as to make a triangular brace against 
the wind. Plumbing levels must frequently be tested and kept in 
adjustment. 

Testing of rods, — At the beginning and end of the season and at 
least twice each month during the progress of the leveling the 
intervals between the metallic plugs on the face of each level rod 
must be measured carefully in feet to the nearest thousandth, 
always with the same steel tape, kept for that purpose. The tem- 
perature must also be recorded and the number bf the tape. 



PRIMARY LEVELING. 99 

Length of sights. — The length of fore and back sights must be 
equalized with the prism level as with the Y level. The maximum 
letigth oi sight with the prism level is 360 feet except at river cross- 
ings. Sights across broad river crossings should be taken in the 
folk>wing manner: 

Mount the instrument and place stakes so that the center wire 
ynli fall near the middle of each rod; if the distance is too great to 
read the three wires, use improvised targets of cardboard held in 
place by rubber bands or other simple device, and make several 
settings by raising and lowering them an equal number of times. 
Rodmen should be provided with field glasses if necessary to read 
signals. Prom bench marks on each bank the elevation of the 
adjacent water surface should be determined as an additional 
check. 

Record. — ^The notes are to be kept in ink in book 9-940, as for 
precise leveling (p. loi), except that each H. I. (height of instru- 
ment) and level should be computed. No erasures are permitted, 
either with rubber or knife; a single line should be drawn through 
erroneous records. Extra fore sights when made should be recorded 
in the special column on the right-hand page, opposite the H. I., 
and recorded with "backward," "forward," "right," or "left" 
added to show the direction to the rod from the instrument. 

Check computations. — The check of the means of columns 3 and 5 
and of their sums for each page of notes must be made each night, 
or oftener if convenient, by both levelman and recorder independ- 
ently. At the bottom of columns 2, 3, 5, and 6 the total sums for 
the page are required, but for columns i and 7 find the sums of the 
center- wire readings only. At the bottom of column i it must be 
shown that three times the sum of the center-wire readings plus 
the algebraic sum of the excesses of the lower over the upper thread 
intervals in column 2 is equal to the sum of the mean feet readings 
in column 3. A similar computation must be shown at the bottom 
of column 7 with respect to columns 6 and 5. No other computa- 
tkm than these need be made in the field except those required to 
carry forward the elevations of temporary and standard bench 
marks. /" ; ' ' " '.■* 



lOO INSTRUCTIONS TO TOPOGRAPHERS. 

The difference (column 3 minus column 5) should be written at 
the bottom of column 4 and should equal the difference obtained 
by subtracting the first from the last elevation, which should be 
written in the upper space at the bottom of column 4. 

C is the constant which results from the "peg-method" test of 
adjustment. The formula 3 C (column 2 —column 6), etc., at the 
bottom of the right-hand page is for computing the correction to 
the elevations for combined errors of level and coUimation. This 
computation need not be made in the field. By "(column 2 — 
column 6)*' is meant the difference of the continuous sums of the 
rod intervals of columns 2 and 6. 

On primary work the algebraic simi of the page excesses of back 
sights or fore sights for each day should be written in the lower 
right-hand comer of the right-hand page. 

PRECISE LEVELING. 

Observations. — For precise leveling the instrumental outfit and 
the number of men in the party are the same as for primary leveling 
with prism level, but the following modifications of methods must 
be made. 

Lines must be run independently in both the forward and the 
backward direction. The allowable error in feet is 

0.017 ^ distance between bench marks in miles, 

and when this limit is exceeded on any section the forward or 
backward measure is to be repeated tmtil a pair run in opposite 
directions is obtained between which the divergence falls within 
the limit. It is especially desirable to make the backward measure- 
ment in an afternoon if the forward measurement was made in the 
forenoon, and vice versa. The observer should make the two 
measurements under atmospheric conditions as different as possible 
without materially delaying the work for that purpose. At alter- 
nate stations the fore sight is to be taken before the back sight — 
that is, always take readings on the same rodman first. 

The maximum allowable difference between a back-sight and 
the corresponding fore-sight mean thread interval is 0.033 yard 
(33 feet distance). The continuous sums of rod intervals for the 
section between bench marks must not be allowed to differ more 



PRECISE LEVELING. lOI 

than 0.132 yard (66 feet distance), and they should be kept as nearly 
equal as possible. 

The last set-up of one running must not be copied nor used as the 
first set-up of a return running — that is, the instrument must be 
moved so that an independent reading can be obtained. 

If any measure over a section differs more than 0.02 foot from the 
mean, that measiu'e must be rejected. No rejection shall be made 
on account of a residual smaller than 0.02 foot 

Whenever a blunder, such as a misreading of i yard or one-tenth 
or an interchange of sights, is discovered and the necessary correc- 
tion is applied, such measure may be retained, provided there are 
at least two other measures over the same section which are not 
subject to any uncertainty. 

When commencing work for the day and at the beginning and 
ending of each section record the time. Record the temperature 
for each set-up, using thermometer readings alternately for each rod. 

It is not necessary to complete the H. I. and elevation column, 
but the difference of elevation for each section should be computed. 

The field abstracts for precise leveling must be made as the work 
progresses, on form 9-937, provided for this purpose. When original 
records are completed in the field send the books immediately to 
the chief geographer, Washington, D. C, by registered mail, retain- 
ing the corresponding forms until notice is received of the receipt 
of the original records. 

Records. — ^The following special instructions are necessary in 
regard to the use of prism-level notebook 9-940 when used for 
primary'' or precise leveling record: 

The blanks on the flyleaf must be filled in the first day the book 
is used. 

The blanks at the head of each page must be filled in each day. 
Bench marks run between must be indicated by their letters or 
numbers. 

Each horizontal space between two red lines is for a single set-up 
of the level. 

The notes for each section of line on precise work must be com- 
plete in themselves and commence on a new page. Every primary 



I02 INSTRUCTIONS TO TOPOGRAPHERS. 

line record must begin on a new page, and the initial bench mark 
must be fully described. 

The columns being counted from the left, each is used as follows: 

Column I is for the readings on the rod in yards for the three 
threads, each set of readings to occupy a separate space between red 
lines, the first recorded reading being for the wire giving the smallest 
value. The color letter is to be placed beside the first and last 
readings. The recorder should notice whether the color as recorded 
corresponds with the unit called out by the levelman. Each day 
the levelman should verify the comparison and, if a discrepancy 
exists, renm the section. 

Column 2 is for the thread intervals for the thread readings in 
column I, the upper ones being the difference between the lowest 
readings and the middle ones, the lower being the difference between 
the middle and the greatest readings of each set. (See also next 
paragr£4>h.) 

Column 3 is for the sums of the three-wire readings of each space 
in column i, between the horizontally ruled red lines, these sums 
being equal to the mean in feet of the three readings on rod. 

Column 4, with the exception of the last line, is not intended for 
use in precise leveling, but can be used to compute approximate 
elevations, being filled out only at bench marks. On primary work 
the first entry on the page at the left of the words " Elevation brought 
forward from page — " should be the elevation from a previous page» 
or from another book. In the latter case, give book number and 
page, and always carefully verify the copying. The second entry, 
below the red line and above the short black line, is the height of 
the instrument as found by adding the first entry in column 3 to the 
first elevation in column 4. The third entry in column 4 is the ele- 
vation computed by subtracting the first fore sight from the H. I. 
In each case the H. I. will always be above a short black line and the 
elevation always just above a red line. 

The records in columns 3 and 5 should be placed on line witli the 
H. I. 

Columns 5, 6, and 7 are for fore-sight readings, corresponding with 
3, 2, and I for back-sight readings. 

Column 8 is for the record of temperature and time. 



PRECISE LEVELING. 103 

Column 9 is for the correction of curvature and refraction for un- 
equal sights and need not be filled out in the field. 

Column 10 is for extra fore sight at points which are not turning 
points, also for their sum. 

Column II is for description of bench marks, for elevations from 
extra fore sights, for transcripts of bench-mark elevations, and for 
general remarks or explanation. 

In columns 2 and 6 write next above the red lines the continuous 
sums of the rod intervals for the section. The mean of the last pair 
of oontinuous sums in coltimns 2 and 6, multiplied by 1,000, will be 
equal to the distance in feet for the page; its equivalent in miles 
and tenths can be obtained from the table in the back of the book. 
The total mileage from the beginning of the section on precise work 
and of the line on primary work must be given at the bottom of each 
right-hand page. 

A sample page from a field book follows. 



I04 



INSTRUCTIONS TO TOPOGRAPHERS. 











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Io6 INSTRUCTIONS TO TOPOGRAPHERS. 

COMPUTATION AND ADJUSTMENT OF LEVEL CIRCUITS. 

General corrections. — In the computation and adjustment of level 
circuits the notes are first examined for errors in field computations 
or records. Corrections are next made for rod errors, including those 
due to changes in temperature, these being products for each differ- 
ence of elevation by the rod error. Corrections are applied if 
required for curvature and refraction for unbalanced sights; also for 
systematic errors for which the law is known. 

Orthometric correction. — On long lines at high elevations a correc- 
tion is required to take account of the fact that level surfaces along 
meridians at different altitudes are not parallel curves except at the 
equator and at the poles. This correction, which depends on 
meridional distance, latitude, and altitude, may be found from the 
following formula* : 

^^ ^m(^n— ^b) sin (^n+^ g) 
659,000 

in which 

C= correction in feet. 
/(m=niean height of line in feet. 
<i>% and ^n=the latitudes of the south and north ends of section, respectively, 
(^n—^a)^ difference of latitude in minutes of arc. 

In applying the formula the lines must be divided into sections 
of not over 100 miles each, and a division should be made where the 
general direction changes materially. The corrections thus found 
are applied to the several sections so as to lower the elevations at 
successive division points going northward. Although orthometric 
corrections may at times lead to apparently absurd results, such as 
giving a lower elevation for the north end than for the south end of a 
large lake having no outlet, yet in order to insure agreement between 
different lines and to obtain results of the greatest theoretical accu- 
racy, they must be applied when appreciable. 

After all the foregoing corrections are made to the original results, 
the remaining closure errors are those which are to be removed by 
adjustment. 

Adjustment of precise leveling. — Weights are first assigned for each 
class of levels, and observation equations are formed and solved by 



1 Rept, Coast and Geodetic Survey for 1899, 1900, p. 875. 



COMPUTATION AND ADJUSTMENT OF LEVEL CIRCUITS. IO7 

"least squares." In this manner every line helps to establish the 
elevation for each junction point. When all the junction points are 
fixed the corrections are distributed over the lines in proportion to 
distance. 

Adjustment of primary leveling. — The Geological Survey in adjust- 
ing primary levels has adopted a method which may be described 
as follows: 

All adjustments are to be made in the bench-mark description 
book 9-916, in which abstracts from the field books, which include 
the description and elevation of each point as determined by the 
levelman, are written by him in regular order for each line as run. 

All the level lines associated with one another should be con- 
sidered at one time, and in order to better comprehend their arrange- 
ment they should first be platted on the office progress maps as 
accurately as possible and from these tracings should be made on 
paper, to be used in the adjustment and later filed with the descrip- 
tion book as part of the record. The plat should show the approxi- 
mate relation of all the lines, including the precise or previously 
adjusted lines forming the base of the system, and the work of differ- 
ent grades or different men should be represented by differently 
colored inks or pencils or in some other manner, a suitable explana- 
tory legend being attached. The names of a sufficient number of 
towns should be given to identify the location readily, and beside 
each line reference should be made to the page in the description 
book where the bench-mark elevations for that line are given. On 
each line a > is to be placed to show the direction in which it was 
run. For small areas the diagram of routes prepared by the levelman 
in the description book will probably answer in place of the tracing. 

The field notes should be examined to see whether the work was in 
accordance with the instructions; whether fore and back sights were 
equalized, rod readings properly summed, balances checked, and 
elevations properly copied from page to page. The entries in the 
description book should be systematically checked to see that all 
elevations, including those at starting, jtmction, and closing points, 
and all breaks and second runnings are properly copied. Where 
two runnings of equal weight are made over one course the mean 
result should be accepted for adjustment and written in red ItOtL 



Io8 INSTRUCTIONS TO TOPOGRAPHERS. 

with the appropriate statement in the "unadjusted elevation" 
column, the divergence being given in the margin. 

At each junction point on the diagram should be ^vritten the 
difference between the recorded elevation by some one of the lines 
and those recorded in the description book for each of the other lines 
for the same bench mark, with an arrow alongside and plus or minus 
signs added to indicate that the elevations as brought by these lines 
are greater or less than the assumed one. Also, as an additional aid 
in the adjustment, the closure error for each circuit should be written 
in the center of its plat on the diagram, each amount and sign being 
computed in counter-clockwise order. Next ascertain by inspection 
of the diagram which of the unknown junction points may be deter- 
mined with the greatest apparent accuracy or by the greatest num- 
ber of independent lines. From two or more lines connecting this 
point with the points of known elevation obtain two" or more possible 
corrections to the assumed elevation. Estimate and record relative 
weights for these corrections, the weights to be based on length of 
lines (usually in inverse proportion to their length), class of leveling 
instrument used, number of times leveled, and in rare cases on rela- 
tive standing of observers if two are involved. Weights should not 
be influenced greatly by closure errors. Where corrections from 
different soiu*ces have a line in common, the length of this line 
should be doubled in fixing the weights of each. 

From the weights adopted compute the weighted mean correction 
to the assumed elevation of the new point as follows: Multiply the 
correction computed for it through each of the independent lines 
from known points in turn by the weight of the line; divide 
the algebraic sum of these products by the sum of the weights. 
The quotient is the correction to apply algebraically to the as- 
sumed elevation; it should be written in the diagram at the 
proper junction point in a small loop or rectangle with the letters 
"Cor." and the plus or minus sign. In complicated nets it may be 
necessary to assign a preliminary correction to a junction point in 
order to carry a correction from it to some other point; after fixing 
the correction for the second point from its various lines a final 
correction is determined and substituted for the preliminary value 
ol the ^rei- noint. 



COMPUTATION AND ADJUSTMENT OF hUVHh CIRCUITS. IO9 



In this manner weighted values are found for each junction point 
in turn, and between the points thus fixed corrections are distributed 
in proportion to the distance. A line or point once thus adjusted 
should not be readjusted unless readjustment is required by new 
field data. 

Figure 2 is given as an illustration of the method of adjusting a 
level net. By inspection of the diagram, junction point E appears 



A 



Mean v^ B >Vr-'-^.32 5 , 




FiGURB 2. — Diagram showing method of adjusting a level net. 

to be the most favorably situated for adjustment first. The line run 
from A via B and E to D closed at D 0.250 foot low; from H via I to E 
0.500 foot low. The correction to the recorded elevation for E on 
the line from A is 0.00 by that line itself, +0.250 computed from D 
by reversing the closure, and —0.500 from H. The distances to be 

used in assigning weights are taken as A via B to E=— +8=13 

2 

miles (A to B, being a double-run line, must be given double 

weight, which is done by dividing the length of the line by 2); D 

to El 5 miles; H via I to E, 10 miles. The weights to be assigned 

should be in inverse proportions to the length of the lines, or nearly 

so. To determine the weights, divide a convenient number — a&vv^ 



no 



INSTRUCTIONS TO TOPOGRAPHERS. 



in this example — by the computation distances 13, 5, and 10 each 
in turn, obtaining i, 2.6, and 1.3 for the weights of the respective 
lines. These weights are each to be multiplied by the corre- 
sponding assumed corrections o, +0.25, and —0.50, giving prod- 
ucts of o, +0.65, and —0.65. Divide the algebraic sum of tliese 
products by the sum of the weights (4.9); the quotient will be the 
weighted correction; this is o for the point in question, but as 
there is another line to this point which has not been conddered 
this correction must be accepted as preliminary only. The fore- 
going data may, if desired, be assembled in tabular form, thus: 



From 
point— 


MUes. 


Weight. 


Correc- 
tion. 


Weight 
X cor- 
rection. 


A.... 

D 

H.... 

Sum . 


13 

S 

10 


I.O 

2.6 
1-3 


0.000 

+ .250 

• soo 


0.00 
+ .65 
- .6s 




4.9 




.00 









Jtmction point B may be considered next. The preliminary cor- 
rection for this point is taken as o, as found from three lines, two lines 
from A and one from E. A preliminary correction of -fo-i foot for 
I can be obtained by taking a proportionate part of the closure error 
at E (one-fifth). Junction point F depends for its elevation on 
values from several lines. The corrections from E, B, and I are, re- 
spectively, o, —0.32, and —0.18; the corresponding distances aie la, 
10, and 26; the weights 2.2, 2.6, and i.o; the resulting preliminary cor- 
rection for P is —0.18. A final value for E may now be found botn 
B, D, I, and F; this is necessary to include the effect of P, and by the 
foregoing method it is found to be — o. 03 . G is found from Unes from 
B via C, P, F via C, F via J, and I, with the computation distances ^, 
7, 44, 28, and 38, respectively; in this case the distances C to G and J to 
G, which are common to two lines, should be doubled in order not to 
give them undue weight. The final corrections to the assumed ele- 
vations are now fotmd in a similar manner, the computatioBS for B, 
I, and F being repeated to secure the effect of the additional Unes, 



COMPUTATION AND ADJUSTMENT OF LEVEL CIRCUITS. Ill 

and are as follows: B, coo; C, —0.30; E, —0.03; F, —0.18; G, —0.38; 
I, +0.09; and J, —0.18, two places of decimals only being used for 
junction points. Each of these corrections is placed in a rectangle 
on the diagram near the point to which it belongs. 

After the corrections for the junction points are fixed, corrections 
proportioned to the distance are found for intermediate points along 
the several lines. 

Lines on which the closure error is much over the permissible limit 
must be omitted in adjustment; they may be tied in afterwards, but 
in publishing the results a statement must be made cautioning 
engineers against dependence on them. If gross errors are evident, 
the results must not be published until the lines are renm. 

For high altitudes the orthgmetric correction should be applied 
(p. 106). 

The computer should report to the division geographer in writing 
any failure on the part of the levelman to comply with instructions; 
he should also report all circuit-closure errors in excess of the allow- 
able limit (pp. 92, 95, and 100). These data should also be written 
on the last inside page of the bench-mark book. 



SECONDARY CONTROL. 
PLAlf£-TABLE TRIANGULATION. 

GENERAL INSTRUCTIONS. 

The projection of the sheet under consideration should be made 
with the utmost care and the points plotted thereon tested in every way 
possible. Both the projection and the plotting of the triangulation 
points should be carefully checked by another topographer. 

Before the projection is made a thorough study of all the positions 
available for the control of the area should be made and the podtion 
of the projection on the paper arranged so as to include the greatest 
number of desirable points. 

In the field it is often necessary to construct a projection without 
the use of a beam compass. A substitute for this is readily made 
with a wooden strip, into which is inserted a needle large enou^ 
to be rigid and a section of pencil. 

Seasoned double-moimted paper, attached to the board by brass 
thumb screws or tacks, should be used to reduce to a minimum the 
unavoidable expansion or contraction caused by climatic condi- 
tions, and while in use all sheets should be protected with cover 
paper. 

When practicable, the projection lines and as many located points 
as possible should be plotted on the traverse sheet before the work 
is begun, thus enabling the traverseman to check his work by three- 
point location or otherwise. 

Before commencmg work the adjustment of the alidade for colli- 
mation and parallax should be carefully inspected. If the hill is 
high and the weather is at all windy a weight should be suspended 
from the head of the tripod to steady the plane-table and to prevent 
accidents. The use of a large umbrella if the sun is bright greatly 
facilitates the work and protects the eyes and paper. The instru- 
ments and the paper should be clean from sand and grit. 

112 



PLANE-TABLE TRIANGULATION. II3 

Substantial signals, of whatever material is in the vicinity of the 
stations, should be erected on the main triangulation points and on 
other prominent hilltops. Unbleached red and white cotton makes 
the best all-around flagging. While placing the signals every oppor* 
tunity should be utilized to learn the topography of the country, to 
pick out the best subsidiary stations and to locate them on the guide 
map, and to fix in one's mind the peculiarities of objects most likely 
to be seen from the stations thereafter occupied. 

CHOICE OF STATION. 

In choosing the first station to be occupied it is best to select one of 
the most prominent triangulation stations, located preferably in the 
southern part of the sheet, so that w^hen the majority of the sights are 
taken the topographer will be looking away from the sun. In this 
way objects may be more clearly seen and peculiarities noted. 
Clear atmosphere is essential when the first stations on the sheet are 
occupied. 

Where topographic mapping is carried on simultaneously with 
plane-table triangulation, the availability of vertical control should 
be considered in the selection of the initial station. In the prose- 
cution of such work the topographer must necessarily locate a suf- 
ficient number of points for the control of the contours. The char- 
acter of the country, the amount of supplementary plane-table 
traverse, and the scale of the work must be considered in deter- 
mining the number of points to be located . 

OBSERVING AND RECORDING. 

After leveling the table place the alidade on a line connecting 
the station occupied with one of the triangulation points farthest 
away (the other end of the base) and revolve the table until the 
farther signal is bisected by the vertical wire of the alidade and 
clamp table. Verify the orientation by sights to additional visible 
triangulation stations. Now make the circuit of the horizon syste- 
matically and take fore sights to a definite point on prominent 
objects, such as signals, cupolas, towers, chimneys, flagpoles, 
monuments, church steeples, schoolhouses, dwelling houses, bams, 
windmills, trees, hilltops, sptu^, etc. These sights and desccv^tks^a- 

66513 — 13 — 8 



114 INSTRUCTIONS TO TOPOGRAPHERS. 

may be entered in notebook, and brief descriptions should be noted 
on the sheet itself, along the lines of sight. Draw the lines of sight 
with a chiseled edge of 9-H pencil at considerable length along the 
square edge of the alidade, being careful always to hold the pencil 
at the same angle and see that the contact of the rule and paper is 
perfect. Get azimuths of long, straight stretches of road and rail- 
road wherever possible. 

After all the sights have been made adjust the striding level and 
read the vertical angles to objects whose elevations are desirable 
and necessary for vertical control. The stadia rod may be used for 
obtaining distances and elevations in the immediate vicinity of the 
station. From time to time, while making observations and upon 
completion of the work of each station, ^heck original orientation 
to see if any movement of the table has occurred. In mountainous 
or hilly sections the topography of the top of the hill should be 
sketched on the plane-table sheet for identification. After the work 
on this initial station is completed repeat the operation on the sta- 
tion at the other end of the base. 

All triangulation stations should be occupied. Other stations 
may be made by setting up the table on a fore sight, getting orienta- 
tion by sighting back to the station from which the fore sight was 
taken, and resecting from another station or located point. This 
location is checked by sighting to some third located point. All 
identifiable objects to which lines were drawn from the first station 
are sighted and intersected. All intersections should be verified by 
a direction from a third point. A signal should be erected when 
necessary to mark place of station for future referenced Extreme 
care should be used in prolonging a short line for orientation. 

In areas of great relief and of difficult access advantage should be 
taken of every opportunity to contour, even approximately, topo- 
graphic features, such as bottoms of canyons, rock exposures along 
canyon walls, ground siu^aces in heavily timbered, inaccessible 
mountain gaps, and indefinite slopes of mountain masses which 
practically can not be occupied. 

The stations should be designated by roman numerals I, II, III, 
*»tc. Each sight should have a number. All the sights to the same 

^ct from other stations should retain the number, and the object 

Id be A'noHTi by this number during l\ve v^^^Si^ ol >iJjv^'WQclc^ 



PLANE-TABLE TRI ANGULATION. II5 

After completing the first station the numbers of the sights taken 
from the second station should follow consecutively and not dupli- 
cate those taken for the first station. 

After an intersection has been made a cross ( X ) should be placed 
opposite its number in the book and its elevation computed. Verti- 
cal angles should thereafter be measured to this located point at 
every station from which it can be seen until its elevation has been 
satisfactorily determined. It should be remembered that vertical- 
angle elevations have relative values dependent on the size of the 
angle measured and the distance between the points. 

In areas where the plane-table tri angulation is independent of 
and precedes the mapping the system of symbols provided for 
plane-table traverse should be used. 

THREE-POINT METHOD.i 

A plan frequently adopted for the location of plane-table stations 
is that known as the "three-point method," which can be advan- 
tageously followed when three or more previously located points 
properly distributed are visible. When making three-point stations 
a compass should be used for approximate orientation. 

In figure 3 (p. 116) the triangle formed by the three fixed points 
is called the great triangle and the circle passing through them the 
great circle. When the table is imperfectly oriented, the lines 
drawn from the projected points will not intersect at one point ex- 
cept when the table is on or near the great circle but will form a 
triangle of error. 

When the new point is on or near the circle passing through the 
other points, the location is uncertain. (See fig. 3, case 2.) 

UTien the new point is within the triangle formed by the three 
points, the point sought is within the triangle of error. (See fig. 3, 
case I.) 

When the new point is without the great circle, orient on the 
most distant point, then the point sought is always on the same side 
of the line from the most distant point as the point of intersection 
of the other two lines. (See fig. 3, case 4.) 

^ For mathematical solution of the three-point problem, see Rept. U. S. Coast and 
Geodetic Survey for 1880, appendix 13. Idem (ot iR«iT-^%.,«>.v^wafiacK.^v ^^3wai^»:sS^2hS5. 
tables and lormulas, pp 9-10, or Butt. "U . S. 0«A. S>ar5rc^ "^ti. a-^v -t^v.v^- ^"S"^'^' 



Il6 INSTRUCTIONS TO TOPOGRAPHERS. 

When the pcnnt sought falls within either of the three s^ments 
of the great circle formed by the sides of the great triangle, the line 
drawn from the middle point lies between the true point and the 
intersection of the other two lines. (See fig. 3, case 3.) 

The tme point is always distant from the three lines drawn from 
the three fixed points in direct proporticm to the distance of the 
thiee points from the point occupied. 

The point sought is always to be fotmd on the same side of each 
line drawn from the three fixed points; that is, if it is on the right 
side of one line it is on the right side of each of the other two; if on 
the left of one, it is on the left of the other two. 




■/i^r^ 



PIOURS 3.— Diagram showing graphic solution of three-point problem. 

When the true point has been estimated and marked on the 
sheet, a new orientation is made. If the lines from the three fixed 
points now intersect at that point, the position is determined. If a 
new triangle of error is formed, the operation must be repeated. 

PLANE-TABLE TRAVERSE. 
METHODS. 

Traversing consists of much more than getting direction and dis- 
tance, though these are absolutely essential features. All the essen- 
tia] topographic features on each side of the line are to be obtained 
at the time the traverse is made. 



PLANE-TABLE TRAVERSE. II7 

Acctiracy of plane-table traverse depends on two factors, namely, 
the obtaining and platting of distances and the orientation of the 
plane-table. 

Distances are obtained by stadia, wheel, tape, or pacing, and the 
orientation is made by magnetic needle, by back and fore sights, 
by the Baldwin solar chart, or by other approved solar apparatus. 

When the needle is used, the accuracy of orientation is dependent 
on the freedom from local attraction and the length of needle. For 
these reasons it is well to avoid the use of the compass near rail- 
roads, electric-transmission lines, large bodies of steel or iron, and 
in volcanic regions. No plotted line should be greater than the 
length of the needle. 

The method employed in determining distances will be governed 
by the character of the country and the scale of the work. Traverse 
lines should be run along roads, ridges, streams, or at intervals in 
timbered country when necessary; the method in general practice 
when the needle is used is to set up at alternate stations, using 
intermediate stations as turning points. Sights should be taken from 
these stations to prominent hilltops, spurs, houses, windmills, lone 
trees, and other conspicuous objects, and these should be intersected 
at subsequent stations. Following this plan, the traverseman should 
locate all railroads, roads, trails, houses, churches, schools, bench 
marks, all State, county, township, and city boundaries, also all cul- 
tural features as listed on page 135. 

Streams should be mapped near the roads as accurately as the 
skill and experience of the traverseman will permit. Especially 
should streams crossing and recrossing roads traversed in ravines or 
gulches be located and junctions shown with side streams. 

In traversing railroads, frequent locations by three-point method 
should be made if possible and the line extended by means of fore 
and back sights. If this is not practicable, and it becomes necessary 
to rely on the needle, it is important to set up the plane-table a 
sufficient distance from the rails to prevent their influence on the 
needle. The distances can be obtained advantageously by measur- 
ing a rail and counting the number of rails between stations. 

Where traverse is extended along roads over which levels have 
been carried, note elevations marked on fences, at aRitw3xv\s»,V«:'A!i§A^> 
cor ers, etc., and record same otv ttavetat ^^«X.. '^^tdr;^**^^'^^^^ '^ 

i 



Il8 INSTRUCTIONS TO TOPOGRAPHERS. 

Streams, hills, etc., sliotild be obtained in the field as far as possible — 
especial care being taken to get correct ^)elling — and be written 
plainly on the traverse. 

Traverse should not be made to close, but should show the two 
tie points by a double arrow between them; such junctions shoidd 
never occur in towns or villages. 

Traverses should extend a sufficient distance beyond the edge of 
the sheet to overcome any possible error that may occur in the 
adjustment. 

Single-motmted paragon paper is ordinarily used, though celluloid 
may be substituted to advantage in wet weather. Before using the 
sheet the name of the State, quadrangle, date, name of the traverse- 
man and that of the chief of party should be written in the lower 
left-hand corner. 

The proper method of plotting is to place the fractional scale divi- 
sion on the old point and prick the new location with the needle at 
the even division at end of the scale. This operation should be per- 
formed with the greatest care, as more closure errors are to be attrib- 
uted to careless plotting than to any other cause. When aneroids 
are used the elevations should be recorded on the sheet at road 
and stream crossings, divides, and traverse stations. To insure accu- 
racy the aneroid should be compared and corrected with bench- 
mark elevations whenever possible. 

STADIA TRAVERSE. 

In stadia traverse instrumental measurement of distances and ele- 
vations gives sufficient control to permit considerable sketching to 
be done on either side of the line. 

Determination of elevations. — If the elevations are determined by 
vertical angles, ground elevations may be carried by using a mean 
height of instrument (4^ feet) as a turning point on the rod, or ordi- 
nary level notes may be used with H. I. computations. Accurate 
distance readings are essential, and sights for turning points should 
not be over 1,000 feet, unless imder exceptional circumstances. In 
large-scale detailed work 300 feet is a better limit. When the lower 
hair comes near the groimd on long sights serious errors are liable 
to occur at certain hours of the day through refraction. The Ander- 

or Johnson stadia tables are proba\Ay l\v^ mo^X. %^\i"daLctory for 



PLANE-TABLE TRAVERSE. II9 

computing differences of elevation and horizontal correction. On 
scales of 1:48,000, or larger, the horizontal correction can readily be 
shown in plotting. On larger scales it becomes important. Angular 
measurements exceeding 15° should be avoided. 

Whenever possible, as in regions of low relief, elevations should be 
determined by using the alidade as a level and the rod as a level rod. 

Beamav stadia arc. — The use of vertical angles may be avoided by 
the use of the Beaman attachment to the telescopic alidade. This 
attachment consists of a stadia arc, which is screwed on the outer side 
of the old arc and which carries two separate double scales having 
coincident zero points marked 50 and o, respectively. Either scale 
is read by reference to the common adjustable index, which, when 
the telescope is level, must be set at zero point of scales before the 
stadia arc is used. The two scales are: 

To the right, next index, a multiple scale, with zero point marked 
50, which indicates multiples for obtaining differences in elevation. 
To get desired multiple, subtract 50 from scale reading and use alge- 
braic remainder; for example, if scale reads 56, multiple is 56 — 50 
= +6. If scale reads 47, multiple is 47— 50=— 3. 

To the left a reduction scale, with zero point marked o, which 
gives percentages of correction that may be used, if desired, to 
reduce observed stadia distance to horizontal. 

To determine differences in elevation read the distance subtended 
on rod and express in feet (for example, 8.7=870 feet). Clamp tele- 
scope and level. Set index exactly at 50, by means of the tangent 
screw back of arc, and do not touch this tangent screw again. 

Then, by means of the customary clamp and tangent movement, 
raise or lower telescope until there is brought exactly opposite the 
index such a graduation on the multiple scale as will throw the 
middle stadia wire somewhere on the rod, it does not matter where. 
The arc reading, minus 50, multiplied by the observed stadia dis- 
tance gives the difference in elevation between the instrument and 
a known point on the rod — that is, the height on rod indicated by 
middle wire. Settings of both index and arc should be made care- 
fully imder reading glass. ^^ 

Example: Suppose observed stadia distance is 6.3 (630 feetWulas, 
that telescope is so inclined that multiple scale reads «^^, "ii^ 
exact setting the middle wire on rod reads "^ .1 Vl '^ ^^^'^ '^'^^ 



122 INSTRUCTIONS TO TOPOGRAPHERS. 

number of turns of micrometer head on different bases to give dis- 
tances in feet or himdredths of a mile. These tables and constants 
should be tested on measured bases of different lengths at beginning 
of season. 

Base. — In establishing a base its bearing should be placed on the 
sheet for future reference. At new station (fig. 4), if the line of 
sight is not perpendicular to the established base, orient as closely 
as possible, and draw a line to one of the signals. Plot the base as 
long as paper will permit. Erect a perpendicular to the line of sight 
at one end of base (a). Draw a line parallel to the first line of sight 
through the other end of plotted base (b). Measure the distance 
of the perpendicular from (a) to intersection with line through (b) 
on the same scale as base was plotted. This distance (a b^) is the 
corrected length of base to be used; then a b'=ab sin y. The solu- 




"^^■^■^T*" 



Figure 4. — Diagram illustxating correction of base line. 

tion depends on the fact that the angle between the lines of sight 
to opposite ends of the base is so small as to be disregarded, and 
angles V and W are practically 90°. A protractor may be used to 
make the angle y between the plotted base at (b) and the line (bb^) 
the same as the supplement of the angle V-\-x between the plotted 
base and the perpendicular erected at (a). 

The same principle applies to a vertical base which may be above 
or below the station occupied. 

Instruments. — ^The instruments needed for stadia traverse consist 
of a telescopic alidade, with compass attached, plane-table not 
smaller than 15 by 15 inches, with Johnson tripod, and standard 
stadia rod. Establish magnetic north line on the sheet at the 
beginning of work for future orientation. 

It is necessary that the stadia wires give the correct reading on 

the rod. Therefore, before work is commenced they must be tested 

on a measured base not less than 500 feet in length, and if an error is 



PLANS-TABLS TRAVERSE. I23 

found a correction must be applied to each distance measured. It 
is not desirable to graduate rods to fit the peculiarities of individual 
instruments. 

Correct adjustment for coUimation and striding level must be 
maintained. The eyepiece should give a clear-cut image, free from 
parallax. To obtain this throw the object glass out of focus and 
adjust the eyepiece so that cross wires are perfectly distinct and 
stationary at every position of the observer's eye. 

WHEEL TRAVERSE. 

Revolutions of the wheel may be used for obtaining distances 
along the traverse line. Tables are furnished to facilitate reduc- 
tion. A hand recorder may be used as a check on long sights. A 
record of distances should be kept until closures are made as a check 
on plotting. 

TAPE TRAVERSE. 

In some parts of the country dense forest and undergrowth make 
it impracticable to carry stadia or wheel traverse, and the lack of 
open tops puts a narrow limit on triangulation methods. Under 
these conditions, a form of tape traverse depending on aneroid ele- 
vations has been devised for obtaining the topography. It is appli- 
cable only to scales of i : 48,000 or smaller. 

A plane-table 9 inches square, with compass attached, and Bum- 
stead tripod, are best for the work. A sight alidade, 528 feet of 
tailor's linen binding tape, and a pocket compass are the instruments 
required. The tape should be marked at 100-foot intervals with 
red ink in a manner to be clearly imderstood. It should then 
be run through hot paraffin, and the rear end stiffened to avoid 
catching and tangling in the brush. It will be necessary to paraffin 
the tape frequently, especially the rear end, and it should be thor- 
oughly dry to have the best effect. Knots and weak places should 
be promptly mended with needle and thread. 

The chainman should carry a pocket compass, light ax, and marking 
crayon. He blazes one or more trees at the end of each tape length, 
and the topographer occupies the point as his next station, thus set- 
ting up at every station instead of alternate ones. The s.vsf^^ -^xs^ 



124 INSTRUCTIONS TO TOPOGRAPHERS. 

taken in the direction shown by the tape and the signal of the ta{>e- 
man. It is well to number the stations to avoid enor in makitig 
closures. Lines should follow natural features, such as ridges, valleys , 
and spurs, rather than gridiron the territory. The greatest error of 
the lines comes through the tapeman not keeping a straight course. 
Adjustment of aneroid elevations should be made daily and the 
contours altered to agree, care being taken to preserve topographic 
shape and detail. Adjustment of horizontal errors should not be 
made on traverse sheets. 

FOOT TRAVERSE. 

The method of obtaining distances by foot or animal paces is 
resorted to in timbered countries and mountainous regions without 
roads. Careful measurements of the average pace of an animal or a 
traverseman on a level or a slight incline should be made, and a table 
prepared in hundredths of miles. 

USE OF ANEROID. 

In certain classes of work in various parts of the country the aner- 
oid, properly supported by level and vertical angle elevations, is 
used to great advantage in the completion of topographic detail. 

In order to obtain the best results from its use, however, the topog- 
rapher should realize its limitations as a result of its delicate mech- 
anism and its susceptibility to meteorologic influences. 

Aneroid readings should be checked by previously determined 
elevations whenever opporttmity is afforded, as well as at the begin- 
ning and end of each day's work. Whenever a station is occupied 
for a considerable length of time, the usual record should be supple- 
mented by an additional reading made just before departure, for a 
possible correction. The uncertainty of the aneroid is increased in 
unsettled weather and it is practically useless immediately before 
and after a thtmderstorm. 

Because of its delicate mechanism the aneroid should be trans- 
ported and handled with care and should be protected from all 
sudden jars. It should be carried preferably in a closely fitting vest 



USE OF BALDWIN SOLAR CHART. 125 

or short pocket secured by string. The transportation or shipment 
of aneroids across country, the elevation of which is beyond the 
limits of the aneroid range, should be avoided whenever practicable. 

USE OF BALDWIN SOLAR CHART. 

BXPLANATION. 

The chart (PI. II) consists of elliptical lines indicating the sun's 
path for different latitudes from 30° to 90° N., intersected by straight 
sun-time lines at 5-minute intervals; the hour lines are heavy and are 
marked by their respective hoar figures. The intersection of these 
time lines with latitude ellipses are called sun-time points. Fig- 
ure I (PI. II) represents the portion of the chart not completely shown 
in the sections between 5 and 7 o'clock. It is an auxiliary diagram 
to aid in finding sun-time points between these hours. It is 
divided into before and after 6 o 'clock segments, on each of which 
the latitude is to be interpolated between the radial lines and the 
sun time between the circular curves. A supplement to this chart 
for use in latitudes below 30° is available. 

Figure 2 (PI. II) is a diagram for finding daily the pivot points on 
the arrow, the positions for which vary according to the sun's decli- 
nation and the latitude. Figiu-e 3 (PI. II) is a diagram by means of 
which local mean time may be converted into local apparent time. 
Below it is the factor required to convert standard to local mean time. 

To use the chart some form of stylus or gnomon that will cast a 
good shadow must be provided on the alidade. 

OBJECT OF THE CHART. 

The chart is designed to supply a means of obtaining true north in 
regions where the local conditions will not permit the usual deter- 
mination by compass. When it is turned so that the proper pivot 
point on the arrow and the sun-time point on the latitude arc are 
on a line parallel to the shadow cast by a plumb line upon a level 
table the arrow will point true north. The chart is intended to be 
used with the plane-table, which may be oriented by its aid. 



126 INSTRUCTIONS TO TOPOGRAPHERS. 

PREPARATION OF CHART FOR USE. 

Two methods may be used to adapt the chart to local use : 

1. It will be found convenient in surveying an area of small 
range in latitude to emphasize, by drawing in pencil or colored ink 
on the main diagram (PI. II) the curve for the middle latitude of the 
area under stirvey, producing the curve so as to complete the ellipse 
to the 6 o'clock point. Draw the same latitude lines (radiating 
from A and 6, respectively) on figures 2 and i. In Plate II such 
lines are drawn for latitude 43° N.; new lines should be provided for 
any material change in latitude. 

2. Plate III, upper half, is a working chart constructed from the 
main chart by drawing only the portions essential for Immediate 
use. It consists of the ellipse for the latitude of the area, the. hour 
lines, and the north-south arrow. As the chart is designed to be 
used with local apparent time and to provide for daily change in 
declination, figures 3 and 2 on the main chart (PI. II) will be used 
for converting standard time to local apparent time and for fixing 
from day to day the pivot points a and of. 

Plate III, lower half, is a special chart constructed from the main 
chart to illustrate the use of the figures. In figures 2 and 3 (PI. Ill) 
the day lines intersect the month 's ctirve at date points correspond- 
ing with noon values of declination and equation of time, respec- 
tively, for the year 19 13 at Greenwich, England. For other years 
and places a date correction must be made, as tabulated on the face 
of the main chart (PI. II). Figure 2 (PI. Ill) is used to obtain pivot 
points on the arrow, two being required for each day. The north 
one is the a. m. pivot point and the south one the p.m. pivot point, 
when the day is one included in the half year between March 22 aad 
September 21, inclusive (that is, when the position of the sun is 
north of the equator), the relative positions being reversed during 
the other half of the year. The a. m. pivot point is always directed 
toward and the p. m. pivot point away from the sun with respect to 
the sun-time point. 

Example: On July 28, 1913, find pivot point (a) and sun-time 
point (b) at 10 a. m., latitude 43° N., longitude 97° W. At longitude 



USE OF BALDWIN SOI^AR CHART. 12/ 

97® W. the local noon date point on July curve (fig. 2, PI. II) is about 
a quarter day space from the 28th toward the 29th day line (97° 
falling between longitudes 45° and 135° west of Greenwich). From 
this point project a vertical line to intersect the diagonal latitude 
line 43°. Draw a horizontal line from this intersection to the arrow. 
The point of intersection of this line will be the a. m. pivot point 
(a). The same distance below point C will be the p. m. pivot point 
2! . Transfer these points to Plate III (upper half) if the work chart 
is to be used. Note that if the date had been between September 
21 and March 22 the first pivot located would have been the p. m. 
pivot point. To find the sun-time point at 10 o'clock a. m., follow 
the hour line 10 to its intersection with the latitude ellipse 43°, 
as shown at b (PI. Ill i; this is the sun-time point. 

To find the sun-time point at 6.30 o'clock a. m., same latitude, 
use the auxiliary diagram (fig. i, PI. II). Follow the sun-time curve 
for 6.30 o'clock to its intersection with latitude line 43°. Project 
this point horizontally to the ellipse and its intersection is the sun- 
time point for 6.30 o'clock at (e) on the diagram. 

Figure 3 (PI. II) is used to obtain the correction necessary to con- 
vert local mean time to local apparent time. This, combined with 
the correction for longitude, gives the total correction to convert 
standard to sun time. To convert standard time to local mean time 
a correction of i minute must be made for each ^ degree of longi- 
tude east or west of the center of the time belt in which work is 
situated, to be added if east or subtracted if west. 

Standard-time meridians ordinarily are multiples of 15° of longitude 
east or west of Greenwich, England. Those crossing the United 
States proper are at longitude 75°, 90°, 105°, and 120° W., and are 
the central meridians of the eastern, central, mountain, and Pacific 
standard time belts, respectively. Hawaiian standard time merid- 
ian is 157° 30'' W., and there are some other exceptions. 

To convert local mean time to local apparent time, locate on this 
figure a date point by following the proper day line to its intersec- 
tion with the proper month curve, and the corresponding time cor- 
rection can then be read on the minute scale at the top. 

Example i: Plate III (lower half), July 28, longitude 97°, find the 
correction to convert standard time to sun time. Longitude 97° ia 



128 INSTRUCTIONS TO TOPOGRAPHERS. 

7° west of the center of the central time belt 90°, and this interval 
equals a correction of 28 minutes to subtract. The July 28 date point 
on the July curve is opposite 6>^ minutes to subtract. The combined 
correction is therefore 34K minutes to subtract from standard time. 

Example 2: On November 15, at longitude 106^ 1$^ W., the cor- 
rection would be 5 minutes to subtract and 15 minutes to add, on 
account of longitude and date, respectively, a combined correction 
of 10 minutes to add. 

Standard time can be obtained at most railroad stations or tele- 
graph oflfices. The watch used should be set each day to apparent 
sun time by applying the constant correction for longitude and the 
daily correction for equation of time. 

ORIENTATION OF PLANE-TABLE. 

To orient the plane-table by use of the chart, attach the latter to 
the plane-table sheet so that the arrow will be parallel to the line 
on the sheet representing the local meridian. The plane-table be- 
ing leveled at a station, select the sun-time point for the instant of 
observation, place the edge of an open-sight alidade at the sun-time 
point and the pivot point, and revolve the plane-table until the 
edge of the alidade lies parallel to the shadow of a plumb line, or the 
shadow of some other gnomon placed on the alidade. The gnomon 
must be perpendicular to a level line transverse to the alidade edge. 

Example: Plate III (upper half), at 10 o'clock, July 28, latitude 
43°, longitude 97° W. Place the edge of a sight alidade at pivot 
point (a) and at sun point (b), using the open sight as a gnomon to 
cast a shadow on the ruler. Revolve the plane-table board until the 
shadow of the sight is bisected by a line on the alidade parallel to 
the edge; then clamp the board. The arrow is now in its true north- 
south position. 

To obtain best results it is necessary to use accurate time and to 
carefully plumb the shadow plane. 

In using a telescopic alidade with the solar chart it is essential 
that the telescope sight line be parallel with the ruler edge; this 
may be tested by means of a metal sight alidade or two pins placed 
against the ruler of the telescopic alidade. The open sights (or pins) 



USE OF BALDWIftJ SOLAR CHART. 129 

are set on a point about 1,000 feet distant; if the cross wires in the 
telescope also cut the point sighted t^ie line of cpUimation a|i4 the 
edge of the rul^r ^re parallel. If ai; appreciable error \s foun4i in 
order to correct it place the arrow lijie of the ch^ parallel tq the Ji^e 
joining the pins, then shift ^lidadp over the chart till the telescope 
cuts the point sighted ^nd draw ^ meridian line on thp chart ^Qi)g 
the aliflade edge, whjch will in use be placed parallel to a inerid^a^ 
of the field sheet. 

The length of sight on the field sheet should not exceed the dis- 
tance on the chart between the sun-time point (b) and the pivot 
point (a), or the length of the shadow of a vertical gnomon. This 
will vary with the time of day and the season of the year. 

ERRORS. 

The error in azimuth caused by errors in latitude, time, and level 
can be foimd graphically upon the chart for various conditions, but 
it is important to observe that the error in azimuth due to error in 
time is most apt to be serious. At the pole 4 minutes error in time 
causes 1° azimuth error. Elsewhere, if the sun time used is not over 
3 minutes in error, the error in azimuth will usually be less than i*' 
before 10 a. m. and after 2 p. m.; the error at low latitude being 
least, but near these homrs the error at low latitudes changes more 
rapidly than at high latitudes and at and near noon is greatest. On 
June 22, at latitude 30° north, 3 minutes error of time at noon will 
cause about 6° error in azimuth, but at 10 a. m. and 2 p. m. it will 
cause only 0.5°. At latitude 40° north the error at noon will be 
less than 2.5°, whereas at 10 a. m. and 2 p. m. it will be about 1°. 
To obtain good results with the chart in secondary traverse, time 
error should not exceed 3 minutes in most cases, and near noon in 
low latitudes it should not exceed i minute. Fast time increases 
the measured azimuth of a course and since the error is greatest at 
noon, a straight course run throughout one day would appear as a 
slight reversed curve, the morning ctu've to the right and the after- 
noon part to the left. 
66512 — 13 — 9 



130 INSTRUCTIONS TO TOPOGRAPHERS. 

TIME CORRECTION. 

Stin time can be found as described in the foregoing text. It can 
also be found directly from watch time (whether tiiiat be fast or slow) 
if the plane-table can be reliably oriented each morning by known 
points by placing the alidade edge against the proper pivot point 
and toward the sun. The edge of the alidade will then cut the true 
latitude curve at sun time and by subtracting the watch time its 
correction will be obtained. 



MAP CONSTRUCTION. 
FIELD WORK. 

GENERAL CHARACTER OF ATLAS SHEETS. 

Quadrangles, — ^The topographic maps of the United States Geologi- 
cal Survey are designed to constitute a topographic atlas of the United 
States for a geologic base. To that end they are issued in standard 
sheets approximately uniform in size (lyi inches long and 12 to 15 
inches wide according to the latitude), representing quadrangles, 
each bounded by meridians and parallels. 

Projection. — ^AU atlas sheets are based on the polyconic projection. 
Each sheet is laid out independently with respect to its own medial 
meridian. 

S:a es. — Standard field scales are 1:192,000, 1:96,000, 1:48,000, 
1:31,680, 1:24,000, and 1:12,000. 

Contour interval. — The relief on all atlas sheets is expressed in con- 
tours. The intervals adopted are 5, 10, 20, 25, 50, 100, 200, and 250 
feet. 

Contents of the map. — The data shown are essentially the same for 
all maps of the topographic atlas and differ only with the limitations 
of the different scales. They comprise all habitations, routes of 
commimication, and other works of man that are permanent in char- 
acter; the boimdaries of civil divisions, reservations, and grants, as 
well as the lines of the public-land surveys, accurately determined 
useful elevations; water features, swamp and marsh land; relief 
features, and the names of all features, cultural and natural. 

PRELIMINARY INSTRUCTIONS. 
PREPARATORY WORE. 

Preparation of field sheets. — Before starting for the field, the topog- 
rapher should prepare his field sheets in the form best suited to the 
conditions under which his work is to be carried on. 



132 INSTRUCTIONS TO TOPOGRAPHERS. 

Drafting of projections. — Coordinates for projections should be 
taken from the poly conic projection tables.^ Whenever convenient 
the plotting may be expedited by the use of the Bumstead projector 
(i : 48,000 and i : 96,000). Whether this device be used or not, each 
projection must be subjected to a thorough test by some person other 
than he who did the plotting. It does not suffice that he merely 
repeat the plottings of the first draftsman with the figures used by the 
latter. A true check consists of independent computations and 
measurements throughout. The verifier should therefore enter the 
tables anew, replot the coordinates, and, as a final test, measure the 
over-all dimensions of the projection and compare the length of its 
diagonals. 

The plotting of primary control points should, similarly, be checked 
by independent measurements. 

Data from other surveys. — Existing map material of Federal, State, 
and municipal siu^eys and other authenticated organizations 
should be diligently sought. Maps of the General Land Office, the 
Coast and Geodetic Survey, the Hydrographic Office of the Navy, 
the Corps of Engineers of the Army, the Mississippi River Commission, 
the survey of the Great Lakes, the National boundary surveys. State 
boundary surveys, boundaries of National parks, forests, monuments, 
game and bird preserves, Indian and military reservations, land 
grants, surveys made by the Reclamation Service, Forest Service, 
and Bureau of Soils, should be examined and such of them as prove, 
on field examination, to be adequate, should be incorporated in the 
field sheets, with proper recognition. 

All such material will, upon requisition, be reduced by photog- 
raphy to the field scale. 

Sheet borders. — It is of prime importance that contiguous atlas 
sheets shall join perfectly, so that, when they are laid edge to edge, 
the lines on them shall pass without break or offset from the one to 
the other. In order to insure such perfect joining, compliance with 
the following rules is necessary: 

Before beginning field work on a new sheet, the topographer should 
procure a border strip from each adjoining sheet already mapped, 

■' Geographic tables and formulas, pp. 38-94; Bull. U. S. Geol. Survey No. 234, 1904, 
/"" - - Also Coast and Geodetic Survey Special Publication No. 5, 1910. 



MAP CONSTRUCTION. 1 33 

such border strip to embrace a width of at least i mile and to be 
photographed to the field scale. 

Should it appear in the progress of field work that the older sheets 
contain inaccuracies, or are not up to date as regards developments 
in culture, the new work shall be considered as standard and the 
older work be revised for such a distance over the border as may be 
necessary to effect a good adjustment (geliefally not over a mile). 

vShould the older sheets prove so deficient in quality, or so far out 
of date as regards culture that faidical revision would be required to 
make them join to the new work, the topographer must at once 
report the matter to the division geographer. 

Border corrections to be applied to sheets already published should 
be submitted on tracings upon completion of the inking of the new 
work. 

Wherever the adjoining sheets have not been mapped, the field 
work should be carried across the border of the new sheet for approxi- 
mately one-half mile. 

Identification of field sheets. — It is of the utmost importance that 
every field sheet, whether plane-table or traverse, should be marked, 
before work is begun on it, in a manner that will insure its ready 
identification. Accordingly, each should bear on its margin in 
indelible black ink the name of the State, the name of the quadrangle, 
the scale and contour interval, the name of the person responsible 
for the mapping, and the year in which the work was done. The 
latitude and longitude must be clearly marked in pencil at each of 
the four comers of the projection. 

NAMES. 

Nanics to be shown. — The rtlap should show the names of — 

Cities, towns, villages, and other settlements, including all coun- 
try* post offices and railroad stations. (Where the name of a rail- 
road station differs from that of the corresponding post office, both 
naitfes should be shown, the one most widely known being given the 
greatef pltrminence and the other being followed by P O or Sta, as 
the case itiay be.) 

Country schoolhouses. 

Country churches. 

Isolated ranches constituting important landmarks in a^iax^ft-V^^ 
settled districts. 



134 INSTRUCTIONS TO TOPOGRAPHERS. 

Important public institutions, such as universities and colleges, 
State hospitals, asylums, and penitentiaries. 

Railroads (steam or electric). In addition to the name of the 
system, it is desirable, as a rule, to give the name of the branch, 
line, or division. 

Highways, turnpikes, and boulevards. 

Bridges, ferries, and fords. 

Through trails. 

Important steamboat routes on large lakes. 

Important canals, ditches, aqueducts, etc. 

Timnels, dams, lakes, reservoirs, and other public works. 

Lighthouses, lightships, and life-saving stations. 

Parks and cemeteries, if scale will allow. 

Isolated mines, quarries, prospects, and oil wells. 

Isolated furnaces and smelters. 

Civil divisions. 

Reservations. 

Hydrographic features. 

Springs, wells, and tanks, especially in arid regions where these 
features are of vital importance. 

All relief features. 

Authority for names. — ^The topographer should utilize local oppor- 
tunities for obtaining the correct names and spelling of all features 
shown on the map and not resort to correspondence on this subject 
after his return to the office. The general policy should be to con- 
form to local usage. 

New names. — In unsettled or sparsely settled regions it may often 
be found desirable to give names to the more important land and 
water features as a means of reference. Such names must be sub- 
mitted through the geographer in charge to the chief geographer 
with full particulars showing their appropriateness for final action. 
The selection of new names should not be a mere matter of whim 
but should be made with due consideration of their geographic 
value and significance. Following are some of the principles 
adopted by the United States Geographic Board: 

{i>> ~~ « suggested by peculiarities of the topographic features 

1 as their form, vegetation, or animal life, are gener* 

but duplication oi ivamts, ^s^^casJCv^ within ooit 



MAP CONSTRUCTION. 1 35 

State, should be avoided. The names " Elk, " " Beaver, ** " Cotton- 
wood/* and "Bald" are altogether too numerous. 

(6) Names of living persons should be applied very rarely, and 
only those of great eminence should be thus honored. No personal 
names should be attached because of relationship, friendship, or 
personal interest. 

(c) Long and clumsily constructed names and names composed of 
two or more words should be avoided. 

(d) The possessive form of names should be avoided unless the 
object is owned by the person whose name it bears. 

(e) The multiplication of names for different parts of the same 
featiu-e, such as a river or mountain range, should be avoided. Only 
one name should be applied to a stream or mountain range through- 
out its length. 

Such names as "East Fork ** and "North Prong " for branches of 
a river should be avoided unless there is a special reason for their 
adoption. Independent names should commonly be selected. 

MAPPING OF CULTURAL FEATURES. 

Features to be mapped. — The following cultural features are to be 
shown on all topographic atlas sheets by conventional signs, as shown 
on pages 205-228. 

Aqueducts, water and oil pipes. Locks. 

Bench marks. nes and quarries. 

Boundary lines (civil). Oil tanks. 

Boundary monuments. 1 Oil wells. 

Bridges. Power lines. 

Buildings. Primary traverse stations. 

Canals and ditches. • Prospects. 

Cemeteries. Railroads. 

Coke ovens. Reservoirs. 

Dams. Roads. 

Ferries. ' Steamboat routes. 

Fords. i Trails. 

Land corners. Tramways. 

Land grants. Triangulation stations. 

Land survey lines. Tunnels. 

I,evees. cuts, and fills. ' United States location monuments. 

Life-saving stations. United States mineral monuments. 

Lighthouses. Wharves, docks, jetties, etc. 

Lightships. 



136 INSTRUCTIONS TO TOPOGRAPHERS. 

Roads. — Under roads are included all streets and roads, public 
and private. Distinction is to be made between first-class and 
second-class roads, the former being shown by solid double parallel 
llneS) the latter by broken double parallel lines. Metaled roads, 
further, are to be distinguished on the engraved map by having 
one of the two lines accentuated. On the field sheets it may be 
convenient to represent roads by single lines, but it is nevertheless 
important that the class of each mad shall be indicated on them in 
S^Me Way. A isimple method of marking consists of placing a figure 
or letter on each stretch of road, thus — i standing for first class, 2 for 
seeotld class, M for metal. This should be done promptly, as fast 
as the road traverses ore tun. 

The classification of roads is governed by the following criteria: 

First-class roads include all State, county, or other public roads 
ih such condition as to be available for ttavel; all main or throflgh 
fi^ads In ^arsely settled mountain or desert regions, regardless of 
condition; all city streets and park and cemetery drives. 

Second-class roads include all public roads which through disuse 
or neglect have become impassable or can not be traveled without 
risk (through roads in sparsely settled Regions excepted in accord- 
^c^ with the fotegoing^ paragraph) ; all neighborhood roads in rul*al 
districts (except those of sufficient importance to be regarded tts 
through roads); all private roads, lanes, and stub roads to farms and 
country houses. 

Metaled roads include those first-class roads which are paved or 
have a dressing of macadam, telford, gravel, or asphalt. Even a 
thin layer of gravel or broken stone applied without specially pre- 
pared subgrade and covering only a strip wide enough for one 
vehicle is held to constitute "metal." 

In areas where public highways generally follow the section lines 
of the land suirvey the classification of roads is to be made with 
reference to ownership and pei'manency of location, rather thati 
condition or amount of travel. Roads which are considered per- 
manently located include those along section lines and those which 
leave the section lines for short distances to avoid natural obstacles. 
Roads thus permanently located, when following a section liae fbf 



MAP CONSTRUCTION. 1 37 

one-fourth mile or more, are to be classed as first-class roads. Diag- 
onal roads following section lines here and there are to be classed as 
private, unless they constitute the main through routes of travel. 

Lumber or wood roads generally are to be omitted, but any prin- 
cipal through lumber roads which may be properly considered 
permanent cultural features are to be shown by the second-class 
symbol. 

On the 1:192,000 scale no distinctions are to be made between 
roads of different classes. They are all double parallel lines. 

Buildings. — The map must show all buildings of a permanent 
character, such as dwellings, public buildings, shops, factories, and 
other industrial establishments; it should be reliable not only as 
regards their location . but also as regards their orientation — ^that is, 
the way each building is set with respect to the points of the compass. 

Uninhabitable dwellings, whether farmhouses or miner's or lum- 
berman's cabins, are to be shown only when they constitute impor- 
tant landmarks in regions of sparse culttu-e. 

The conventional black square is to be used for all buildings 
except those of larger structures whose dimensions plotted to scale 
actually exceed the size of the symbol. These should be shown 
with their individual plan outlines. On large-scale maps all houses 
may have to be thus shown. 

On the i: 192,000 scale only isolated houses in the country should 
be shown; those in towns and cities should be shown by a conven- 
tional symbol giving the outline. 

Houses should not be shown conventionally contiguous to the 
roads, imlcss the actual distance that separates them from the edge 
of the right of way can not be plotted on the scale of publication. 

Detached houses in residence portions of cities, suburbs, and 
villages are to be shown separate wherever possible. When the 
scale does not permit individual houses to be shown, indicate the 
group by a solid block. 

Churches and school ho uses. — Churches are to be distinguished by 
a cross and schoolhouses by a pennant; such cross or pentiant should 
be attached to the house symbol, so as to point at right angles to the 
roadway and not necessarily to the north. In centers of dense 
culture these distinctive symbols should be omitted. Buildings 



138 INSTRUCTIONS TO TOPOGRAPHERS. 

used both for schools and for religious services should bear the 
school symbol. 

Railroads. — ^Under railroads should be included all steam and 
electric railroads. Steam railroad lines are to be shown by the 
regular railroad symbol; electric lu-ban, subiuban, or interurban 
lines, lumber and mining roads, and tramways by a symbol on 
which the crossties are placed closer together; and aerial tram- 
ways by a broken black line with name. 

Double tracks, railroad yards, spur tracks, and switches should 
be shown so far as the scale will permit. Separate railroad lines in 
juxtaposition and parallel tracks belonging to the same road should 
be differentiated by placing the crossties as shown on the symbol 
chart. 

Railroads within a roadway should be shown by fine cross lines 
not extending beyond the road lines; suburban electric lines, tram- 
ways, etc., should be differentiated from long-distance lines by 
closer spacing of the symbol. 

A railroad-station building should be represented conventionally 
by a large or elongated house symbol placed across the tracks. A 
station without building should be indicated by name only. 

Bridges. — The following classes of bridges should be shown by 
symbols: All road bridges across double-lined streams; all road 
bridges across single-line streams in sparsely settled regions or 
wherever the existence of the bridge is vital to the use of the road; 
all road bridges over canals and ditches not crossableotlierwise; all 
important viaducts over railroads, railroad yards, roads, or streams. 

Drawbridges on roads and railroads should be shown by a separate 
symbol . Ordinary bridges and trestles on railroads are to be omitted. 

The bridge symbol should further be omitted wherever in centers 
of dense culture its presence would tend to confusion or impair the 
legibility of the map; also on reconnaissance maps except where 
it indicates important structures over streams othenvise difficult 
to cross. 

Ferries. — Ferries are to be shown by symbol wherever the stream 
is wide enough to permit; where it is too narrow (this applies espe- 
cially to the smaller scales), the ferry is to be indicated by the 
wr ' " mes of ferries must be put on the map. 



MAP CONSTRUCTION. 1 39 

Fords. — The symbol for fords is similar to that for second-class 
roads. On large-scale special maps the route of the ford, if diffictilt 
to follow, should be shown, with its characteristic windings. 

Trails. — In mapping trails the topographer should consider their 
relative importance as a means of communication. Thus, in moim- 
tain and desert regions, especially in the far West, where travel is 
largely by trail, he should take pains to map every trail in use, 
giving its name, if known; in the more densely populated districts, 
where railroads and wagon roads are plentiful, he should show only 
such trails as lead up mountains or through unimproved areas not 
readily accessible otherwise. A mere "way through'* not regu- 
larly traveled does not constitute a trail. 

Steamboat routes. — Only those steamboat routes on lakes and 
rivers are to be indicated over which a regular public service is 
maintained by ferries or passenger boats. 

Canals and ditches. — Canals, whether for navigation, irrigation, or 
drainage, should be shown by double-line symbol only when their 
actual width can thus be indicated on the scale of publication; 
otherwise, by a single blue line. 

The mapping of irrigating ditches is to be restricted to the main 
feeders; laterals are not to be shown except on large-scale special 
maps. On smaller scales only those ditches which constitute im- 
portant landmarks in regions of sparse culture are to be indicated. 

Canal locks. — ^The lock symbol should point upcurrent. 

Aquedticts; water and oil pipes. — Only the more important aque- 
ducts and pipe lines should be mapped. 

Tunnels. — ^Tunnels of all kinds, whether on railroads, roads, or 
canals, should be shown by the tunnel symbol; the route of the 
tunnel should be indicated by double broken lines (black for rail- 
roads and roads, blue for canals). 

Dams. — Permanent dams on streams, lakes, or reservoirs should 
be indicated by a heavy black line. Where a wagon road follows 
the top of the dam, the road is to be shown in its correct place, the 
road line on the upstream side being thickened to represent the dam. 

Reservoirs. — ^Artificial reservoirs surrotmded by dams on all sides 
should not be inclosed by the dam symbol, but should be outlined 
in blue, like lakes or ponds. 



I40 IN^TRl'CTIOXS TO TOPOGRAPHERS. 

Levees. — Levees and cuts and fills should be represented by the 
hachure symbol only if they are too small to be shown by cantotUB. 

Cuts and fills. — ^The rule as to hachure symbols for levees applies 
also to cuts and fills. 

Mine dumps. — All mine dumps of sufficient size to deserve mapping 
Should be hachured. Larger ones should be contoured, but fliiould 
also be hachured, so they may not be mistaken for natural hilto. 

Wharvesj etc. — ^Wharves, docks, jetties, breakwaters, and similar 
stftlctures should be indicated by heavy black lines with such detail 
as the scale of the mappiug permits. 

Lighthouses, etc. — Lighthouses, lightships, and life-saving stoticMis 
are to be shown by their respective symbols on all maps, whatever 
the s<iale. 

Cemeteries. — If of sufficient size, cemeteries should be shown with 
their actual outlines; if too small for this, by a square outline in- 
dosing a cross. Small private cemeteries should be omitted. 

Mines, quarries, and wells. — Maps should show the location <tnd, 
wherever practicable, the elevation of all mines, quarries, open pits 
of clay, marl, or other material of commercial importance; all min- 
eral prospects exceeding lo feet in depth, and all coMnXty c^al banks; 
and all deep wells, whether drilled for oil, gas, or water, except 
where such wells are so abundant as practically to be indistinguish- 
able, in which case only the approximate outline of the podl is to 
be shown. 

These are to be recorded in red on the original sheets, but are not 
to be engraved on the topographic maps, unless they refer to Odm- 
mcrcial mines of coal, iron, clay, manganese, or bskUxite, or to tfldne 
qttarries, or to exceptionally important and permanent metallif<£tmis 
mined. Their commercial character may usually, though not inva- 
riably, be judged by their possession of railway s\^'it<iheS Of ddeks, 
to facilitate transportation, or of equipment perffldnent in charaiCifer. 
Lack of these would exclude from the engraved maps prospect pits, 
j^afts, or drifts and coal mines or clay pits worked only to M&pply 
neighborhood demands. 

In sparsely settled regions, where there is little culture to be rep- 
r&Mtiited, isolated mines, quarries, and even prospects which ooniti' 
tute important iandmarks and are widely kno\m, should be fihowli 
black with their names and s\vou\d\^e etv^x^xt^. 



MAP CONSTRUCTION. 141 

The above rules apply only to standard-scale maps. On special- 
scale mining map>s all mining features may have to be engraved, 
even prospects and oil wells. It is for this purpose that the special 
mine symbols, such as shafts, tunnels, drifts, etc., are provided. 
On the standard atlas sheets only the crossed pick-and-hammer 
symbol for mines and quarries and the sawbuck cross for prospects 
should be used. 

Furnaces and smelters. — No additional conventional sign is con- 
sidered desirable to represent furnaces, and in many cases it will not 
be practicable or desirable to name them. In sparsely settled 
regions, however, the furnaces are frequently the most important 
and persistent landmarks . They have well-recognized names , which 
cling to the localities even after the practical disappearance of the 
furnace itself. In such cases, therefore, it is desirable that the names 
be given, even if nothing remains but a ruined stack. The same 
rule applies to smelters, except that those located may be restricted 
to smelters in active or prospective operation. 

Coke ovens. — Only coke ovens connected with mines in operation 
are to be shown on the engraved maps. Those attached to perma- 
nently closed or abandoned mines are to be omitted. 

Civil boundaries and boundary monuments. — All civil botmdaries, 
whether National, State, county, district, civil township, reservation 
(National or State parks, forests, game preserves, Indian, military, 
or lighthouse), land grants, corporations (city, town, or borough), 
parks, and cemeteries, are to be shown on the map by their respective 
symbols. Special effort should be made by field parties to locate 
such boundaries with acciuracy and directly from triangulation or 
primary traverse stations if practicable. 

Necessary descriptions, survey notes, and plats should be con- 
sulted or secured of all lines of importance. Data on National or 
State reservation boundaries should be obtained at or through the 
Washington office prior to the beginning of the field work. Data on 
minor civil subdivisions can best be procured locally, while the 
survey is in progress. Many boimdaries are obscured or obliterated 
by natural causes or artificial works; some are indifferently marked 
to begin with; others have lost some or all of their marks. Infor- 
mation frjm local settlers may often prove of value and save tvtsss:. 



142 INSTRUCTIONS TO TOPOGRAPHERS. 

and eflfort in the search for such obliterated lines. The tof)ographer 
will do well to avail himself of it; at the same time he should bear 
in mind that the word of a resident is not to be taken as authoritative, 
but merely as an aid supplementing information from official sources. 

All monuments on national and State boundaries must be located 
in the field and represented on the map with the appropriate symbol. 
On other boundaries it is desirable that monuments occupying con- 
trolling positions, such as comers or important crossings, be located. 

Where lines are found incorrect in azimuth and distance as the 
result of field errors, it is a fundamental principle that the line 
marked on the ground is the de facto boundary, and is to be shown 
on the map in its actual position, regardless of what the statute calls 
for. This may necessitate in some cases the accurate locating of a 
number of monuments so each error in the alignment may be desig- 
nated at the particular spot at which it exists. 

Some civil boundaries are defined by statute to follow natural 
boundaries, such as streams or divides between watersheds. Those 
following large rivers should be given special attention, as they may 
be variously defined as following the "middle" of the stream, its 
main ciurent, or one of the banks. 

Public-land surveys. — All public-land survey lines must be shown 
on the topographic atlas sheets, and to this end it is necessary that a 
number of "comers" on them be accurately located in the field and 
shown on the engraved maps by a black-cross symbol. 

In order to expedite the work of locating comers, party chiefs 
must provide themselves, before taking the field, with copies of 
plats of the land surveys of the assigned areas. These plats should 
be assembled in the form of a combined plat, reduced to the scale 
of mapping, on tracing paper or linen. A detailed description of 
important comers may prove valuable in recovering them. 

The topographer should be familiar with the system of rectangular 
land surveys and the various intricacies peculiar to it. The more 
conversant he is in these matters the more intelligentiy will he be 
able to make use of land-office data. Acquaintance, further, witji the 
standard monuments used for the various classes of land comeiSi 
their marks, and their bearing trees, as well as with the ma^n n^r in 



MAP CONSTRUCTION. 1 43 

which blazes on trees become overgrown with bark, will prove most 
useful both in searching for comers and in determining their authen- * 
ticity where this is in doubt. (For a discussion of the public-land 
survey system see pp. 183-192.) 

United States mineral locating monuments, — ^Monuments erected as 
permanent reference marks for the location of mineral and other 
claims (often designated as USLM's) are important and should be 
located with the same accuracy as land-siurvey comers and be shown 
on engraved maps. 

Triangulation and monumented primary-traverse stations. — Triangu- 
lation and primary- traverse stations should be indicated on the topo- 
graphic maps with the open triangle symbol only (without name). 
Wherever practicable, the elevations of these stations should be 
determined, either by levels, stadia, or vertical angles, and be 
stamped on the tablet or post that constitutes the permanent mark. 
If vertical angles have been used, the letters V. A. are to be stamped 
below the elevation figures. 

Bench marks. — All permanent bench marks must be accurately 
located in the field and shown with their elevations on the engraved 
maps. Topographic field parties should not rely upon finding bench 
marks by search simply, but must locate them systematically with 
the aid of the descriptions furnished by the level parties. 

Temporary bench marks and other elevation marks. — ^AU temporary 
bench marks (see p. 89) must be looked for in the field with a view 
toward their inking in on the final office drawings. Temporary 
bench marks will be inked with a large red location cross and with 
black figures of elevation and will be engraved, but whenever inter- 
fering with map legibility they may be shown with red figures of 
elevation and not be engraved. Besides the permanent and tem- 
porary bench marks it is desirable that the engraved maps should 
carry a number of other reliable elevations distributed over the 
entire area mapped. They should be spaced at intervals of about i 
mile on the 1 162,500 scale and about 2 miles on the i : 125,000 scale. 

In selecting elevations for publication on the maps, the topographer 
should bear in mind that it is the policy of this Survey to publish 
only such elevations as have a definite working value (p. 89). 



144 INSTRUCTIONS TO TOPOGRAPHERS. 

All elevation data must be assembled on an oversheet tracing in 
the field, as the small elevation figures which have been placed on 
the field sheets themselves are ever in danger of being erased or sc 
obscured as to be illegible. On such an oversheet distinction be- 
tween the different classes of elevations may readily be made bj 
using different inks. 

MAPPING OF HYDROGRAPHIC FEATURES. 

Features to he shown. — The hydrographic features to be shown oi 
all topographic maps are — 

Shore lines. • Lakes, ponds, and sinks. 
Tidal flats. Intermittent lakes. 

Tidal (salt) marsh. > Dry salt lakes. 

J, (Perennial. ; Fresh n^arsh. 

^Intermittent. ' Submerged marsh . 



Dry stream courses. 

Springs. 

Wells, tanks, and reservoirs. 



Wooded marsh. 
Glaciers. 



Shore line. — On all topographic maps of the Geological Survey th« 
line of mean high tide is considered to be the shore line. 

Changes in shore lines. — Reported changes in shore lines should be 
verified by independent field measurements before being adopted. 

Tidal (salt) marsh. — Tidal marshes on low coasts are as a mk 
traversed by a network of tidal channels. Unlike the rills in mud 
flats these channels are fairly permanent in location and should be 
mapped individually S3 far as the scale permits. 

Large rivers. — Broad rivers which are to be water-lined on the 
engraved map offer a perplexing problem to the topographer, as, 
owing to their periodic fluctuations, their width often varies signifi- 
cantly with their stage. The general rule is that the width shown 
should correspond to the normal stage. 

Bars should be "sanded" on the final map, and the limits of the 
sand area indicated in pencil on the field sheets. 

In areas where the flow of streams, though active for brief periDds. 

dwindles or ceases altogether for many months, the normal or pie* 

vailing stage is very low. Thus, rivers like the Platte are normallf 

hraJded streams, and should be represented as such on the nuf 

Many rivers in the desert regiotvs present nothing more than had 

sandy washes and should be shovjtv \sy ^tKv^ ol ^asv.^\sM|^, 



MAP CONSTRUCTION. I45 

Mapping of river bank?. — If the contour interval is too large to 
permit the delineation of river banks by contour lines, hachures 
should be used, a single row being sufficient. 

Double-lined streams. — No stream should be double-lined unless its 
actual width can thus be shown on the scale of publication without 
need of exaggeration. 

Perennial streams. — The topographer will show on his field sheets 
all perennially flowing streams that the scale of publication will 
permit; to prevent confusion in inking, his field drafting should 
clearly distinguish between perennial and intermittent streams. 

Intermittent streams. — Intermittent streams are those having alter- 
nating pools and dry stretches, or those flowing for only part of the 
year. 

On his penciled field sheets the topographer can not show too much 
of the intermittent drainage. For the engraving, to be sure, only the 
more important drainage courses are to be inked, but for the construc- 
tion of the map all drainage lines are of value. They constitute a 
controlling element of all normal-erosion topography, and serve as a 
natural skeleton for the construction of the contours. Indeed, the 
systematic tracing out of the drainage net can not be too strongly 
recommended; the earlier the topographer begins to cultivate the 
habit the more successful he is likely to be in his work. Even in 
volcanic, sand-dune, or glaciated areas, where the topographic fea- 
tures have been shaped by agents other than running water, the 
drainage lines will often be invaluable to the topographer in making 
clear the real nature of slopes and irregular surfaces that are in them- 
selves deceptive to the eye. 

Disappearing streams. — Many streams in limestone regions abruptly 
sink into caverns and continue their courses for long distances 
through subterranean channels. Special care should be given to the 
mapping of this type of drainage; the points of disappearance and 
reappearance should be accurately located. 

Springs. — ^The importance of springs is dependent on their relative 

usefulness as a part of the water resources of the region in which they 

occur; and that is the criterion that should govern their mapping. 

Thus, although it would be entirely proper to omit springs in large 

66512 — 13 10 



146 INSTRUCTIONS TO TOPOGRAPHERS. 

numbers from maps of well-watered regions, it would be manifestly- 
improper to leave them oflf from any map, even the merest recon- 
naissance, of desert regions. There, springs are literally of vital 
importance, and their omission or erroneous location may have the 
gravest consequences to those dependent on the map. In such 
regions it is further desirable to indicate the name by which each 
spring is known. Intermittent, alkali , or undrinkable springs should 
be so designated on the map. 

Wells and tanks. — ^The importance of wells and tanks, like that of 
springs, depends entirely on their relative usefulness as a part of the 
water resources of the region. In semiarid regions both wells and 
tanks must be shown. Wells, if artesian, should be so designated. 

Lakes, ponds, and sinks. — Wherever doubts arise as to the limits of 
lakes, ponds, or sinks, the line of the permanent land vegetation 
should be mapped as the boundary. 

Intermittent and dry salt lakes. — Shallow lakes and ponds which 
are dry for many months each year and dry salt lakes are a physio- 
graphic feature typical of some regions, and all those not too small 
for the scale must be shown. 

Fresh'Water marshes. — ^Fresh marsh and swamp land is defined as that 
not suitable for cultivation without first being drained. All lands 
of this class should be shown on the published map with fresh-marsh 
symbol. 

Submerged marsh. — ^Marsh lands that are partly submerged for 
many months each year, are to be differentiated from ordinary marsh 
and represented by a special symbol combining water and marsh 
tufts. 

Glaciers. — The area of each glacier is to be outlined by a dotted 
(blue) line, and its surface is to be contoured (with blue lines on the 
final map) with the same contour interval as that used for adjoining 
land surface, and with the same degree of accuracy. 

MAPPING OF TOPOGRAPHIC FEATURES. 

CONTOURS. 

For the cartographic representation of land forms several S3rstems 
}Ie, but that which has proved most useful and has become 



MAP CONSTRUCTION. 1 47 

the standard in Geological Survey work is that of contour lines. 
The superiority of this system lies in the fact that not only is the 
vertical interval between the lines capable of being regulated to 
suit the character of the relief, but each contour, being a line of con- 
stant elevation lying wholly within a "level surface" parallel to 
the spheroid of sea level, projects upon the plane of the map with a 
minimum of distortion. It appears for all practical purposes with 
its true length and true deflections, and consequently represents the 
contour of the ground at a given level with exactness. 

It requires more than one line to define a surface of any kind. At 
least two lines are necessary to determine geometrically the position 
of a simple plane, and many lines are needed for the adequate repre- 
sentation of the cur\''ed or warped surfaces with which the topogra- 
pher has to deal. 

DELINEATION. 

Uniformity in practice. — Uniformity in practice in the delineation 
of topographic features is essential if harmonious results are to be 
obtained, and although much of the divergence in style of contour- 
ing arises from a deficiency in training of eye and hand in the artistic 
phases of the work, some of it may be attributed to a lack of recogni- 
tion of basic geometric and physiographic principles. The following 
suggestions may assist in obtaining the required standard. 

Methods of contouring. — In regions where the principal control is 
obtained by different kinds of traverse generally extended along 
])ublic highways, the usual procedure is to first contour the country 
along the route of a given circuit; and then to complete the interior 
of this particular circuit, subdivided by additional control which 
will be a sufficient base for the accurate delineation of all essential 
features required by the scale and contour interval. This subdi- 
visional control may consist of one or more of the several kinds of 
traverse, of intersections obtained from plane-table stations, or of 
such a combination of methods as will in the judgment of the topogra- 
pher secure the most accurate and economic results. 

The method of contouring regions of bold relief, where all the 
features are plainly visible, is that of delineating one feature at a 
time; of drawing all the contours on one land form before commencltv.qf^ 



148 INSTRUCTIONS TO TOPOGRAPHERS. 

on the next. To apply this method to best effect, the topographer 
should learn, in the first place, to parcel the landscape into its con- 
stituent masses or unit forms. The simpler and more easily con- 
ceived their conformation the more readily and surely the delinea- 
tion will proceed. He should, therefore, deal with each mountain, 
hill, or spur, as a unit. He should, after sufficient control has been 
established, segregate it from its neighbors by locating the drainage 
lines that form its natural boundaries, and should, u^erever it is 
practicable, trace out the crest lines and divides. These and the 
drainage lines together constitute the natural skeleton upon which 
to place the contours. This skeleton outline once prepared, it is 
a relatively easy matter to locate the contours themselves. The 
individuality of each unit should be kept in mind and all the lines 
expressing its form should be drawn in succession in their correct 
relations to one another. Each spur on a hill or mountain side 
should thus be delineated with its own characteristic shape. 

It is best, as a general rule, to use convex forms as units, the 
intermediate drainage lines being used as boundaries. 

Use of form lines. — It is realized that practical difficulties often 
prevent the topographer from adhering rigidly to the method out- 
lined. Incompleteness of control is a common interfering factor. 
The upper parts of a hill or mountain may be ready for mapping, 
while nothing is as yet available to determine the foot of the slopes. 
In such cases it may be advisable to extend the sketch beyond the 
control points and to indicate provisionally by "form lines" the 
configuration of the lower slopes. 

In regions of moderate relief, where each feature takes but a few 
contours or where the mapping is done at short range, this mode of 
provisional sketching by "form lines" is unnecessary, but when 
dealing with intricately sculptured mountains it is often an absolute 
necessity. 

Topographic expression. — The topographer must possess, in addi- 
tion to his qualifications as an engineer and surveyor, the ability to 
delineate topographic features Avith such fidelity as to produce a 
map which will clearly indicate the physiographic character of the 
country. 



MAP CONSTRUCTION. 1 49 

It is most desirable, therefore, that the topographer should have a 
thorough grasp of his subject. The features of the land must be 
something more to him than a meaningless jumble of hills and 
hollows. He must recognize the system that runs through them 
and understand the significance of their individual shapes. The 
smaller the scale he is working on the more important will such 
physiographic knowledge be. Large-scale maps, on the other hand, 
are less of a problem, as all features not insignificant in size can be 
adequately shown on them. But in delineating even large-scale 
maps with abundant control, physiographic knowledge is necessary. 
Such maps are usually regarded as equivalent to engineering plats 
in acciu'acy and are therefore bound to be correct. But, however 
numerous the locations controlling a given contour, it is always pos- 
sible, so long as they are an appreciable distance from each other 
on the paper, to give the line different significant shades of mean- 
ing, each equally justified by the control. That line is likely to be 
nearest to the truth that is drawn most intelligently, with the fullest 
comprehension of the character of the feature expressed. Geometric 
knowledge, essential though it be, clearly is not alone sufficient; 
the most accurate geometric concept of a land form is likely to 
appear "wooden" or lifeless on a map, unless it is vitalized into its 
real significance by an intelligent insight. It is, therefore, important 
that the topographer have sufficient knowledge of physiographic 
and geologic structure to understand the type of land form with 
which he is dealing and to realize wherein its peculiar character 
resides. 

MAPPING OP LAND-CLASSIFICATION DATA. 
GENERAL REQUIREMENTS. 

Each member of the topographic branch when engaged in topo- 
graphic mapping west of the looth meridian or in areas containing 
public lands, national forests, or national parks east of that meridian, 
must make the field observations and local inquiries necessary to 
enable him to submit to the land-classification board a plat and 
written report containing such land-classification data as will indi- 
cate the possible uses of the lands which he maps. 



150 INSTRUCTIONS TO TOPOGRAPHERS. 

Such reports will be based only upon facts personally observed 
by topographers or their assistants or obtained by them through 
inquiry from known and reliable sources. Both graphic and written 
reports must be signed and dated by the person or persons preparing 
them, and must bear the names of the chief or chiefs of party, the 
names of assistants engaged in collecting the material on which it 
is based, and the date of the field work. 

The general character of the information desired by the land- 
classification board will appear from the following list of subjects on 
which it is required to report to the Director for his submission to 
the Secretar>^ of the Interior: 

(a) Designations of (i) areas which are not susceptible of successful 
irrigation at a reasonable cost from any known source of water supply 
and which can, therefore, be entered under the general pro\dsions 
of the enlarged homestead act (as suitable for dry farming); and (2) 
lands in certain arid States which do not have an available supply 
of water (either surface or ground) for domestic purposes such as to 
make continuous residence on the land possible. 

(b) Recommendations as to withdrawals of lands for water jxjwer, 
reservoirs, and public watering places. 

(c) Recommendations for the protection of mineral resoiu-ces and 
for other public uses. 

(J) Reports on the valuable power-site and reservoir possibilities 
involved in (i) applications for rights of way for railroads or for 
canals, ditches, reservoirs, etc., included in power and irrigation 
projects; (2) proposals for alienation of tracts of land in Indian reser- 
vations and in the public domain under any of the laws providing 
for such alienation; and (3) designations by Congress for special 
alienation or use of whole Indian reservations and other areas. 

The board should be notified of the presence of any deposits of 
coal, oil, gas, or phosphate, the topographer bearing in mind that it 
is much better to report knowledge already possessed by the Siu*vey 
than to fail to report facts not on file. The land-classification mate- 
rial thus submitted will be filed with the other records for the area 
covered and with them will become the basis for recommendations 
to the department. 

For the purposes of the land-classification board it is essential that 
^*^ough land comers be identified on the ground and located on the 



MAP CONSTRUCTION. 151 

map to enable the best possible adjustment of the land-line net to 
be made. The land must finally be classified by the smallest legal 
subdivisions, and the immediate availability of the classification 
data reported depends on its definite application in terms of the 
land-office surveys to the land described. 

AGRICULTURAl, DATA. 

A sheet must be prepared which will show the classification of 
the land in accordance with the general outline and symbols 
described below. The base for 

this sheet will be the topo- GREEN 

graphic map of the area cov- 
ered, but the classification will 
be inked on tracing cloth, on 
which allprojection lines should 
be fully shown and numbered. 
When transmitted to the board 
it should be attached to an 
undersheet, either a photolith- 
ograph or a photograph of the 
topographic map on the same 

An accompanying written de- 
scription should explain and 
amplify.wherene cessary .the in- 

, /. . ^, , ... FIOURB :.— Pattern and symbols for d«al|- 

formation given on the classifi- nation d forest Isnd 

cation sheet and should include 

all facts which can not be clearly shown graphically, including the 
characterof each examination. The descriptionshould, when practi- 
cable, be arranged in the order followed in the list of symbols given be- 
low and should be arranged in paragraphs, with headings correspond- 
ing to those there given , including the index letters. This description 
should include a discussion of the usual money value of the different 
classes of land in the locality, so far as known. The description 
should be appropriatclyheadcd and each page should be so designated 
that if separated from the others it could be quicklyrestored to place. 

The outline and sets of symbols (shown in figs. 5, 6, and 7 and 
described below) should be used in preparing agricultural data for 
submission to the land-classification board. The sTj-stt-Kv --jes-ntosi 



152 INSTRfCTIOXS TO TOPOGRAPHERS. 

the overlapping of diSercnt classes of lands to be sbotvn. For 
exunple, land bearing mercbantable timber may be good summer 
grating land, and these facts may be indicated by vertical lining 
and the letters "F t" in green and by horizontal lining and the 
letters "Gs" in yellow. 

Hie boundaries between the four principal diiisions as listed 
below should be inked in black. The boimdaries between the sub- 



Ficmo a.— P»lt«n5 »Dd symbols l« rlrsinatiDn at IrahlF bnd. 

divisiaDs of a principal division sbonld be inked in the colur of that 



. F*t*tt luitJ(fig. 5; green ruling): 
F t Merchantable limber. 
F s Small or stunted timber ivhich may be used for pc 

firewood, etc. 
F b Burnt areas. 

The kind of timber should alirays be described in the aco 
panying text, and where possible its kind sbotild be ii 
e^tedoa the clasificatioii sheet. 



■prings. State 
YELLOW 



MAP CONSTRUCTION. 

a. Arable land (fig. 6; red ruling): 
C Cultivated land: 

C i With irrigation. 
Cd Without irrigation, 
I Lands not irrigated but which may be irrigated; 
I s Irrigable directly from stream^ 
unappropriated water 
rights, it known; if un- 
known, so state. 
I r Irrigable from possible stor- 
age reservairi. 
1 K Irrigable from Tnells. Give 
geologic source if known. 
p Irrigable only by pumping 
from any of the preceding 
three (insert "p" to other 

D Lands cultivable without irrigation 

(dry farming). 
S Sis-amps; 

S e Easily or readily drainable. 

S d Drainable with difficulty. 

3. Groiinff and rial ural liay land {&g. 7; yellow 

rulii^): 
H Lands with sufficient natural grass 

G Grazing lands not included under 

"H," Indicate on classification " ' " 

sheet where practicable the character of the vegeta- 
tion and the duration of the range: 

G y Year-long. 

G s Summer. 

G w Winter. 

4. Barren or Ti-aste land (no pattern): 

B a Alkali flats. 

B r Rock wastes, escarpments. 

B s Sand wastes. 

B X Other barrens. 



154 INSTRUCTIONS TO TOPOGRAPHERS. 

Outlines and symbols for designation of agricultural water supply. 

Wells: \ 

Character: 

© Flowing. 

O Nonflowing. 
Description: 

Dug or drilled. 

Diameter and depth, indicated thus: ^^^ X i68^. 

Yield, where well is pumped or where well flows. 
Quality of water: 

m Mineralized. 

du Suitable for domestic use 

St Stock use. 

rr Railroad use. 
Ownership. 
Springs and watering places: 
Location. 
Description. 

Quality of water (as for wells). 
Uses (domestic, stock, etc.). 
Ownership, public or private. If private, name of owner or 

occupant. 
Area of range controlled. 

WATER-SUPPLY DATA. 

River surveys in regular topographic mapping. — In connection with 
or as a part of all regular topographic mapping on field scales of 
96,000 or 48,000, river surveys of all important streams will be 
made on a uniform scale, both in field and office, of 48,000. For 
this piuT)ose important streams may, in general, be defined as those 
adapted to the development of power by low or medium heads of 
20 to 100 feet. It should be noted that when interpreted on a 
48,000 scale the requirements as to showable or desirable detail 
become automatically lessened. 

The field traverse sheets when carefully inked should serve as 
final copy for assembly on the plan sheets and for data from which 
corresponding profiles may be made on separate sheets. 



MAP CONSTRUCTION. 1 55 

When regular field work is executed on 31,680 or 24,000 scale, the 
river surveys and profiles should be made on 31,680 and 24,000 scale, 
respectively. 

In connection with field work executed on the 192,000 scale, only 
written reports will be required as to water-supply data. Such re- 
ports should be based on such general observations and local inquiries 
as can be made without materially delaying the regular field work. 

Written reports. — Signed written reports, accompanied by photo- 
graphs when practicable, must be submitted in general conformity 
with the following instructions, except that map references should 
be made both to the plan sheets and to photolithographic copies of 
the quadrangle sheet. Note, therefore, that many desirable facts 
pertaining to small streams can receive all necessary attention in 
the written reports. 

Special river surveys. — Special river surveys involving the delinea- 
tion of alignment, water-surface contours, and adjacent topography, 
and the construction of a corresponding profile will be executed on 
the scale of i to 31,680 (2 inches to the mile). The plane-table 
method with stadia will be employed. 

Topography in all river surveys. — The contour interval on water 
surfaces will be 5 feet. In addition, the elevations at the head and 
foot of all falls, rapids, and dams and at the mouths of all important 
tributaries must be determined. When the stream slope increases so 
that a 5-foot interval can not be readily sho\vn, the water-surface 
contour intervals will be increased to 25 feet; beyond this the in- 
terval may be increased to 100 feet, but only when demanded by 
legibility. 

The contour interval on land along river stretches will be 25 feet, 
but wherever a 25-foot office interpolation can be accurately made 
between the loo-foot contours the 25-foot contours will be omitted 
and 100-foot (heavy) contours only will be drawn. 

The land features, including all culture usually found along 
streams but excluding large valleys or cities, must be accurately 
and completely surveyed by additional set-ups, intersections, or 
side traverses. The work must be executed in such a manner that 
the data can be readily incorporated in topographic sheets when such 
areas are regularly mapped. 

In the absence of special definite instructions the topography as 
outlined above should be mapped to an elevalvow q>1 v^^^ Vi5^ ^^ssrsvv^ 



156 INSTRUCTIONS TO TOPOGRAPHERS. 

the stream and sketched for another 100 feet or more if such higher 
sketching can be done without additional set-ups. Mapped topog- 
raphy should be indicated by full lines and sketched topography by 
dashed lines, thus enabling them to be clearly distinguished. 

Exceptions to the above are: (i) Wide valleys with low flat floors, 
in which the general height of the fk>or should be indicated cledriy 
by auxiliary figures of elevation and the general relief feattdres 
beyond sketched so far as possible without additional set-ups. (2) 
Reservoir and dam sites. (See below.) 

The more important tributaries ^ould be shown with top>ography 
for about one-fourth mile and then be sketched as far beyond as 
possible; for this one or more additional set-ups may be taken if 
practicable. 

Penciled figures of elevation must be placed on the field sheets 
wherever they will be legible, and frequent contour numbers should 
be placed on light as well as on emphasized contours. 

All gaging stations must be located and the elevation of the zero 
of the gage given. The ownership, whether United States Geological 
Survey, Weather Bureau, Army Engineers, or private, must be stated. 

Rapids should not be indicated by means of a conventional aign. 

Long azimuth lines should be drawn on each separate traverse 
sheet. 

Reservoir and dam sites. — The relations between possible reservoir 
sites and possible dam sites should be frequently observed £is the 
Work progresses in order that these two counterparts when sufreyed 
may serve to illustrate to the fullest the natural storage possibilities. 
In considering the practicability of a reservoir site the character of 
the improvements and industries and the amount, kind, and dis- 
tribution of the timber should be noted and the land values 
estimated. 

The contours within reservoir sites must be accurately determined 
on a 25-foot interval up to the height of the possible dam. t^ive- 
foot intermediate contours must be surveyed (and drawn in close- 
dotted lines and numbered) wherever an office interpolation would 
otherwise seriously affect an estimate of storage; that is, wherever 
an irregular spacing of 5-foot contours extends over a considerable 
area. 



MAP CONSTRUCTION. 1 57 

Special surveys of dam sites favorably located in regard to reser 
voir sites whose existence has been previously ascertained by survey 
should be made on a scale of 1:31,680, with 5-foot contoiu-s up to the 
height of practicable dam or storage. Depth of water at dam site 
and character of bottom and abutments should be noted wherever 
pos^ble. 

Land lines. — In sectionized country it is imperative that the land 
net be placed upon the sheets with an accuracy suitable for 40-acre 
references. Therefore the best judgment must be used before giving 
up the search for land comers. As aiding toward this accomplish- 
ment: 

Party chiefs must secure reproductions of land-oflfice plats, which 
preferably will be photographs furnished on office requisition. They 
must also secure a statement if any such plats are under suspension 
by the General Land Office and must also make inquiry and secure 
copies of the notes of all such retracements or exterior notes of town- 
ships not sectionized as fall within the limits of the river survey. 
General inquiry should also be made whenever practicable at the 
local United States land offices. 

Existing maps or plats showing comers previously found, such as 
those of railroad, power, irrigation, and other companies, must be 
systematically looked for and secured whenever possible. 

Diligent inquiry must be made through deputy mineral surveyors, 
county surveyors, and local engineers as to the existence and loca- 
tion of known comers or ties, and diligent search must be made on 
the groimd for all corners thus learned to exist near the line of survey. 
Likewise a reasonable search must be made for such others as fall 
near or within the work. The time warranted in search for obscure 
comers will be generally determined by the probable regularity or 
irregularity of the net and the proximity of comers already found. 
If no local information is at hand, obviously the greater the necessity 
for pioneer hunting for the needed land ties. 

Stream flow. — An approximate estimate of stream flow should be 
obtained a short distance below the mouths of all important tribu- 
taries. The date of observation and the stage of the water should 
be noted. Measurements should be made, if possible, at a straight 
and uniform stretch of water about 200 feet long, free fcotn. 5:'aj;^vis^ 
and cross currents. 



158 INSTRUCTIONS TO TOPOGRAPHERS. 

The velocity of the current in linear feet per second should be 
obtained by timing floats (chips) over a measured (stadia) couise 
and using an average of two or more floatings made in or near mid- 
stream and nearer shore. 

The mean cross section in square feet may be assumed to be the 
mean of the cross sections at the two ends of the stretch. The indi- 
vidual cross sections are obtained separately by multiplying the 
local width (stadia or intersect) by the corresponding average esti- 
mated depth. 

The desired stream flow (discharge) in second-feet is obtained by 
multiplying the velocity in linear feet per second by the mean 
cross section. Example: Course, 200 feet; floats average 100 seconds 
in transit; upper and lower cross sections are 300 and 400 square feet, 
respectively; 2 by 350=700 second-feet of stream flow. 

Estimated flow of all important tributaries should be obtained 
as above. 

As the minimum low-water flow denotes the maximum availa- 
bility of the stream without recourse to storage, and as the high- 
water discharge in large measure gives its availability for storing, 
all practicable and reliable information along these lines must be 
sought, and all information regarding the range of water stages, 
including data as to past floods, or extreme low water, with dates, 
must be recorded. 

Water power. — ^AU dams or other existing natural sites for water- 
power development must be located and described. If any present 
development exists, the ownership, character, abutments, possibility 
of increasing height, and condition of stream bed must be recorded. 

The plan and profile sheets of all dam and reservoir sites determined 
by the river survey should be supplemented by all obtainable facts. 

Any favorable stretches of stream which might be of value for 
power purposes should be noted. The essentials are a diversion- 
dam site (intake), a site for a waterway alongside (canal or conduit), 
and a combined site for a relatively short pressure pipe line, and for 
a power plant at shore. 

Favorable sites for diversion of water for irrigation should be noted. 

Information should be collected by observation and by local 
inquiry as to (i) power development, noting location of existing or 



MAP CONSTRUCTION. 1 59 

proposed power plants, points of diversion, location and capacity of 
conduit, amount of head available, location of power house, and 
point of return of water to stream; installation of turbines and gen- 
erators, including their rating; location and equipment of power 
transmission lines, and ownership; (2) reservoirs, noting location, 
height of dam, capacity, use, and ownership; (3) irrigation works« 
noting canals and ditches, point of diversion, capacity, location, 
and ownership; (4) municipal water-supply systems, noting loca- 
tions of pipes, etc. 

Character of adjacent land, — The belt of topography mapped should 
be classified as to kind, amount, and distribution of timber; extent 
of cultivated areas; existence of grazing or natural hay lands and 
duration of range; and extent of barren or waste lands. 

OFFICE WORK. 

PREPARATION OF TOPOGRAPHIC FIELD SHEETS FOR ENGRAVING. 

INKING. 

Character. — In inking field sheets the topographer should bear in 
mind that they are to serve as copy for the engraver. He should 
therefore execute his inking with neatness and exactness, so there 
may be no doubt as to the placing and meaning of the symbols and 
lines; at the same time he should beware against wasting time and 
effort on artistic effects or needless overrefinement. The aim should 
be to give the drafting such quality and clearness as will enable the 
engraver to work with rapidity and certainty, and an)rthing beyond 
that is superfluous. 

As most manuscript maps are to be reduced and transferred to the 
copper by photographic processes, it is important that all lines, 
whatever their color, shall be so inked as to photograph with dis- 
tinctness. 

Inks. — ^The inks to be used are Higgins's Waterproof Black, Win- 
sor & Newton's Prussian Blue and Burnt Sienna, and a red ink pre- 
pared by the Survey. 

Sequence of inking. — Unless special reasons demand otherwise, the 
features on the map shall be inked in the following order : ( i ) Culture, 
(2) drainage, (3) elevations, (4) contoiuing, (5) lettervti^. 



l6o INSTRUCTIONS TO TOPOGRAPHERS. 

Symbols and conventions. — The symbols and styles of lettering 
adopted for the topographic atlas sheets of the United States Geo- 
logical Survey conform to the standards prescribed for all Govern- 
ment maps. They are to be used in the inking of the manuscript 
sheets, and all topographers are therefore expected to be familiar 
with them. (See pp. 205-228.) 

In addition to the features to be engraved, the manuscript sheets 
carry many data for special uses. These are to be distinguished by 
special colors or conventions, as specified in each case. 

Timber and land-classification data are not to appear on the inked 
manuscript sheets but are to. be assembled on a separate transparent 
oversheet. 

CULTURE. 

Roads. — Roads should be inked with a uniform width which will 
reduce correctly to the ^vidth used by the engraver on the scale of 
publication. Pikes, drives, and boulevards of special width should 
be shown to scale whenever they actually exceed the width of the 
road symbol. On large special scales all roads should be shown with 
their individual widths, wherever plattable. Metaled roads should 
be inked like nonmetaled first-class roads, but with the addition of 
a red overline. 

Buildings. — The house symbol on the manuscript sheet should be 
of such size as to reduce correctly to the size used by the engraver 
on the scale of publication. Large structures which, platted to 
scale, exceed the size of the ordinary symbol, should be shown with 
their individual plan outlines. 

Railroad crossings. — Wherever railroads and wagon roads cross one 
another above or below grade — that is, not on the same level — the one 
passing under the other is to be interrupted at the crossing. 

Canals and ditches. — Canals and ditches should not be inked with 
double lines unless their actual width can thus be shown without 
exaggeration on the scale of publication. 

Civil boundaries. — Where civil boundaries of different classes 

coincide for a distance the symbol of the major subdivision should 

take precedence, but in particularly complicated regions, e^)ecially 

among minor subdivisions, it may sometimes be necessary for the 

«^^e of clearness to depart from this rule. 



MAP CONSTRUCTION. l6l 

Where it is obvious that a civil boundary follows a stream or road 
for a short distance, the boundary symbol may be omitted to avoid 
confusion. In some places, however, clearness may be increased by 
placing the boundar}'- symbol immediately alongside of the streamer 
road, in red. 

Public-land surveys. — All land survey lines should be inked in red 
so they may not be mistaken for other cultural features; the thickness 
of the ink line should be commensurate \nth the importance of the 
survey line in the system. 

Township and range numbers. — Township and range numbers 
should be placed along the margin of the sheet opposite the middle 
of each township; the township numbers along the right and left, 
the range numbers along the upper and lower margins. The numbers 
should be placed within the townships only where the numbering is 
irregular. 

Numbers and names of standard parallels and guide meridians are 
to be shown. 

Section numbers. — On the 1:62,500 scale and all larger scales, sec- 
tions within townships should be numbered. 

United States mineral monuments. — Mineral monuments must be 
shown and accompanied by their numbers, the numbers being placed 
before the symbol. . 

BENCH MARKS AND ELEVATION FIGURES. 

Permanent bench marks. — Symbols, letters, and figures pertaining 
to bench marks should, wherever practicable, be arranged with the 
letters BM above and to the left of the cross, and the elevation figures 
below and to the right. Should they seriously interfere with other 
features in these positions, this rule may be deviated from at the 
discretion of the draftsman; in no case, however, should the letters 
BM appear below or to the right of the figiwes . All shall be inked in 
black and figures vertical. 

Bench m^rks in cities. — In case a bench mark is situated in the mid- 
dle of a city or other center of dense culture, the symbol should be 
omitted and the letters BM followed by elevation figures placed im- 
mediately under the name of the place. 
66513 — 13 II 



l62 INSTRUCTIONS TO TOPOGRAPHERS. 

Bench marks on triangulation points, land-survey corners^ etc. — 
Btiicii marics at tiiangtiiation and other marked points are «Bt to be 
idBown by sjrtnbol, it being undesirable to superpose two tdiffeieitt 
•yinbols oa each other. The letten BM and the eleTation tigores, 
however, should appear in the usual place. 

Temporary tench marks. — Temporary bench marks along foutes of 
prinary lines diotild be shown by a bencfa-maric cross, inked in red 
(to be engraved in brown), but should not be accompanied by letters. 
The elevation figures should be black. 

Elevation figures. — Elevation figures, if referring to points not 
^lecially marked on the ground but readily identifiable, sach. as ctoas- 
ttMids, road forks, road crossings, and railroad stations, should be inked 
in bladi if to be engraved, in red if not to be engraved. Wherever the 
location of the point referred to might remain in doubt, as on flat 
motuitain or hill summits, use should be made of a small brown 
cioss to iiKiicate the exact position. 

Water elevations. — Elevations on water surfaces, as in lakes, above 
and below dams, under bridges, or at fords, shall be in black if to 
be engraved, in red if not to be engraved, preceded by a small W, 
if necessary. 

HYDROGRAPHY. 

Water bodies. — Oceans, bays, lakes, ponds, and broad rivers 
intended to be waterlined on the engraved maps are to be tinted blue 
(blue tints will not photograph) on the manuscript sheets. As a 
guide for the engraver, a deeper shade should fellow immediately 
along the shores, islands, rocks, and other features at which the water- 
lining begins. Bridges and other structures built over the water 
■should not be thus outlined. 

Dauble4ined streams. — Only those streams are to be double-lined 
whose actual width can thus be shown without exaggeration on the 
scale of publication. 

Perennial streams. — Streams ^t. to be inked with a solid blue line, 
increasing in strength with the importance of the stream, but nowheie 
so broad as to be equivalent to double lines. Care should be taken 
not to draw streams to the sheet edge with a width that can not 
oroperly be continued on the next sheet. Stream lines should taper 
toward the sources of the streams but should remain deep and 



MAP CONSTRUCTION. 1 63 

strong in color to the last. If allowed to become faint the blue will 
not photograph well. 

As a general rule, all perennially flowing streams are to be shown, 
but the map ^Kmld not be overburdened with instgniticant rills 
and forks, such as abound in well-watered countries. 

Inkrmittenl streams, — The dash-and-three-dots symbol is used to 
designate intermittent streams. On the penciled field sheets all 
intermittent stream coutses are outlined down to their nriauter 
ramifications, as an aid in contour sketching, but only the more im* 
portant are to be inked and engraved. The general rule ^lould be to 
ink no intermittent stream that will be less than three-fourths inch 
long on the scale of publication . In the more arid districts less inter- 
mittent drainage is to be inked, and the minimum length should be 
increased up to two inches or more, according to scale, as may seem 
apjwopriate to the degree of aridity. It does not follow, however, 
that in regions of extreme aridity, such as the deserts of California 
and Nevada, the map is to carry no intermittent drainage at all. It 
is to be bcwne in mind that drainage lines are delineated, not merely 
because they indicate water features, but because they constitute 
an important element in the conformation of the land surface and 
because, especially on contour maps on which lines of greatest de- 
clivity are inherently absent, they afford supplementary informa- 
tion of great value in the interpretation of the relief. Whatevw 
the degree of aridity, therefore, a certain amount of intermittent 
drainage is desirable on the face of the map for the sake of legibility. 
More especially is this true in delineating intricately sculptured 
areas, the topography of which in the absence of drainage lines ap- 
pears chaotic and unintelligible at first glance, and featureless 
surfaces on which the contours are far apart and the connection be- 
tween the drains^ reentrants is not at once obvious. Aggraded 
flats and valley floors devoid of well-defined stream channels or scars 
are not properly shown with drainage lines rtmning through them. 

Intermittent streams should not be inbed up to or close to the 
divides. The contours along divides usually suffice to define the 
location of stream heads, and the symbol should end between one- 
e^th and one-fourth inch below these. 



164 INSTRUCTIONS TO TOPOGRAPHERS. 

TOPOGRAPHY. 

Strength of contour lines. — Contoiirs should be inked with fine, 
firm, smooth lines of even strength. Every fifth contour (in the case 
of 25 and 250 foot intervals, every fourth) must be accentuated and 
marked with its elevation for aid in reading. The accentuation is 
to be gained by drawing the lines heavier, not by making them 
broken or dotted. Their weight should make them stand out from 
the intermediate contours, but should not be so excessive so as to 
cause them to dominate the relief. 

The extra weight of the accentuated lines must be considered in 
the contour spacing, so that they may not cause an apparent in- 
crease in declivity. 

Uniform slopes. — On steep uniform slopes, on which the contours 
are very closely spaced and no expression is lost, only the accen- 
tuated contours should be inked; a much clearer working copy is 
thus secured for the engraver, who can readily interpolate the inter- 
mediate lines. The omission of the latter, however, is in order only 
when their parallelism is manifest. Wherever any marked diver- 
gence or discordance exists among them, they must all be inked for 
the guidance of the engraver. As a general rule, the intermediate 
contours should be indicated on every drainage line and every spur 
crest. 

Bluffs and cliffs. — Extreme care is urged in inking bluffs and 
cliffs on which the contours can not all be shown. The lines should 
be as sharp and smooth as they can be drafted, so as to lessen to a 
minimum the chance of their blurring in transfer to the copper. 
The general principle should be to ink no more lines than are abso- 
lutely necessar)' for the guidance of the engraver, and to leave the 
copy as open as the character of the topography permits. 

Accentuated contours must not be dropped; they take precedence 
over the intermediate lines and must be drawn first. The inter- 
mediate lines should be inked only where needed to show detailed 
expression; attempts to fill them in for the mere sake of enhancing 
the appearance of the manuscript sheet are not permissible. 

Depression contours. — Contours inclosing basin-like depressions are 

to he accompanied by a row of hachtu'es (extending down slop>e) 

ver failure to distinguish them mi^hl cause the map to be mis- 



MAP CONSTRUCTION. 165 

read. This applies equally to natural depressions, such as occur in 
limestone regions, for instance, and artificial depressions, such as are 
closed in by railroad or road embankments. If a depression takes 
more than one contour, all should be hachiu*ed. In intricate areas 
it is often desirable to indicate the bottom elevation of the basin 
by figures, or, if size permits, to mark some or all of the contours with 
their elevations. 

Depressions of large extent covering a considerable area on the 
map are often readily intelligible without the aid of hachures. 
Such, however, should be liberally provided with contour figures. 

Contour figures. — Elevation figures on accentuated contours should 
be placed with a special view to their effectiveness as an aid to the 
map reader. It is desirable, therefore, that they be placed in con- 
spicuous positions; and that they be distributed with some system. 

In general, contour figures are most effectively placed on or near 
the end of spurs and other salients. Broad embankments, long val- 
leys, and other hollow featiu*es of importance also require them, but 
judgment should be used in placing them. 

On features taking several tiers of accentuated contours the figures 
should be placed in orderly series. Such series should follow the 
features on which they are placed in easy, gentle curves. On very 
steep slopes, where they would be too crowded, the figures should 
be omitted on alternate accentuated contours. For most classes of 
topography series should be about 2 or 3 inches apart on the scale 
of publication. Each mountain group should have its own series, 
so that there may be no need of referring to contour figures across 
valleys or canyons. 

In regions of moderate or low relief, where arrangement in series 
is impracticable, tlie placing of the figures should be governed pri- 
marily by the disposition of the larger topographic subdivision. 
Each of these should have at least one complete set of figures. In 
exceptionally intricate topography, as for instance in regions pitted 
with solution sinks or traversed by high clifiFs, the figures on the 
accentuated contours do not always suffice to make the delineation 
intelligible. It is proper then to place figures on intermediate con- 
tours wherever they will help to remove uncertainty. If need be, 
elevation figures may be introduced to supplement the Q.cv»^ia*xix 
figures. 



l66 INSTRUCTIONS TO TOPOGRAPHERS. 

Contour figures should not, as a rule, appear in dose proximity to 
bench-mark and other elevation figures. The latter, on the other 
hand, should not be considered as taking the place of the ooatDor 
figures. 

Finally, care should be taken to select such poation for oontoar 

figures as will accommodate the engraving on the reduced aci^ of 

publication. 

LETTERIXG. 

Position. — All names are to be so placed as to be readable from 
the bottom of the map. Names parallel to a meridian are to read 
from south to north. 

Names of places, public institutions, ranches, mines, and other 
lesser cultural features are to be placed horizontally and whenever 
practicable to the right of the feature to which they refer. 

Names of ponds, lakes, islands, swamps, and glaciers are to be 
placed horizontally and to the right, unless the areas of such features 
are large enough to accommodate the names within their limits. 
Names of oceans, bays, coves, fords, and straits are to be placed 
across these features in broad curves. 

Names of railroads, highways, trails, canals, streams, narrow val- 
leys, canyons, gorges, gulches, arroyos, and washes are to follow the 
general trend of these features in easy curves. They are to be placed 
on the upper side whenever practicable. 

Names of broad, water-lined streams are to be placed within those 
featiu-es. 

Names of mountains, summits, peaks, hills, knobs, etc., are to be 
placed horizontally and to the right; but if they refer to features of 
considerable extent, as plateaus, motmtain groups, ranges, ridges, 
basins, or valleys, they are to be spread over same either horizontally 
or with the trend, as may be most appropriate. 

Names of reservations, parks, and forests (national or State), civil 
townships, and land grants are to be placed horizontally across the 
areas to which they refer; but when such areas are narrow or winding 
the names are to be placed lengthwise through them, in sweeping 
curves, if appropriate. 

State and county names are to be placed opposite each other on 
f/ie boundaries. If a boundary falls on or close to the sheet edge, 



MAP CONSTRUCTION. 167 

both names may be placed on the ininde of the line, the one referring 
to the area outside the sheet being given second place. 

Punctuation. — Periods are to be consisteatly omitted on all letter- 
ing within the margin of the map. 

Style of lettering. — ^All place names and names of country post 
offices, railroad stations, country schoolhouses, and chiuches are 
to be lettered in roman. Where the name of a railroad station 
differs from that of the corresponding post office, both names are to 
be shown, the one most widely known being given the greater promi- 
nence, the other being followed by *' PC* or "Sta,*' as the case may 
be. The size of the letters is to be commensurate with the impor- 
tance of the place. Large cities, State capitals, and county seats take 
capitals. 

Names of routes of communication, such as railroads, highways, 
trails, canals; of public works, such as bridges, ferries, fords, locks, 
tunnels, dams, and wharves; of public institutions, such as light- 
houses, lightships, life-saving stations, universities, state hospitals, 
and asylums; and of mining features, such as mines, quarries, pros- 
pects, furnaces, and smelters, are to be lettered in small, slanting, 
block capitals. 

Names of civil divisions, such as States, counties, districts, civil 
townships, and land grants; and of reservations, such as National 
and State parks, forest and game preserves, Indian and military 
reservations, are to be lettered in roman capitals. 

In inking large roman capitals on manuscript sheets, the shaded 
parts should be left open wherever there is danger of important 
detail or dense contoiuing being obliterated or obscured. 

Names of hydrographic features are to be lettered in map italic, 
except oceans, large bays, straits, rivers, and lakes, which are to be 
lettered in slanting roman capitals. 

Names of topographic features and land features along coasts are 
to be lettered in upright gothic. Only features of considerable 
extent take capitals. 

Marginal lettering.^ — All topographic atlas sheets should carry on 
the margin — 

The latitudes and longitudes of the projection lines. 

At the top the word "Topography." 

^ Sec p. ao6. 



1 68 INSTRUCTIONS TO TOPOGRAPHERS. 

Above thcv upper left-hand comer of projection the words — 

U. S. GEOLOGICAL SURVEY. 
Director. 

Above the upper right-hand comer of projection the name of the 
State or States within which the area mapped lies, and below this 
the name of the quadrangle or sheet. If the entire area falls within 
a single county, the name of that county should appear below the 
name of the State and should be omitted from the face of the map. 
In that case the heading at the upper left-hand comer will be 
arranged in three lines to balance. 

In cooperative surveys, the name of the cooperating State, to- 
gether with the names and titles of the officials representing it, 
should appear in the middle of the upper margin under "Topog- 
raphy." 

In the middle of the lower margin the scale in the form of a frac- 
tion, a bar scale in miles, a bar scale in kilometers, the contour 
interval and the datum of elevation should appear above each 
other in the order named. 

Under the lower left-hand comer of the projection should appear 
the legend stating under whose direction the work was done, by 
whom the primary control and by whom the topographic mapping 
was executed, and the date of survey. In cooperative surveys, 
further, the fact of such cooperation must be stated. 

Supplementing this legend, and immediately to the right of it, 
should be placed an "author diagram" showing the area for which 
each contributor to the work is responsible, with his initials. A 
diagram showing the mean magnetic declination for the quadrangle 
should also be given. On maps of i: 125,000 and smaller scales not 
carrying section numbers a small township diagram showing the 
system of numbering sections should appear. Section and township 
numbers should be given when required by the rule on page 161. 

Besides these marginal features common to all atlas sheets, the 
names of adjoining atlas sheets already published must be placed 
along the proper sides or at the proper comers of the projection. If 
the adjoining sheets are executed on scales differing from that of the 
new sheet, their scale should be given. Lettering should be in map 
Jtalic. 



MAP CONSTRUCTION. 1 6 

PREPARATION OF RIVER-SURVEY MAPS FOR PHOTOLITH- 
OGRAPHY. 

SIZE OP SHEETS. 

Sheets showing river surveys are of uniform size (i8 by 22 inches) 
with all plan or profile work kept within a 15 by 18 inch neat line, 
which should be drawn with margins of i and 2 inches at top and 
bottom, respectively. Marginal lettering should be kept within a 
vertical space of 17X (preferably 17) inches. 

PLAN. 

Plans should be inked in standard colors; all the drainage and 
culture should be inked, but only so much of the contouring as can 
be clearly read on a reproduction by a single color photolithograph. 

As it is the readability of the contours from the engineer's point 
of view that is desirable rather than their graphic expressiveness of 
relief, the penciling or inking of contours, wherever these closely 
parallel any shown drainage or culture, should in general be avoided. 

Water-surface crossings must be drawn heavy and solid from shore 
to shore. Every fifth crossing (or intermediate crossings if spaced 
far apart) must have its elevation placed at the outer end of a black 
right line drawn out clear of all topography. 

Distances along alignments will be indicated in black by figures 
within small circles placed at the ends of right lines drawTi clear of 
all topography from the center of the stream opposite each plotted 
mile of channel flow. Preferably, they should be numbered 
upstream. 

The mileage must be plotted by pivoting and swinging a scale of 
miles (drawn as a straight line on tracing paper) within the channel; 
it must not be stepped off with dividers. The same tracing will 
pick up the contoiu* crossings for subsequent plotting on the profile 
sheets. 

Ink in red for sheet record all water-surface elevations; accompany- 
ing reference or direction lines should be inked in red but should be 
kept clear of all topography. Such data are not for final printing and 
will be brushed out on the negatives. 



.170 INSTRUCTIONS TO TOPOGRAPHERS. 

Numerous contotu* numbers and location crosses with j^gures of 
elevations should be used for such exterior points as are instru- 
mentally determined. 

The plan should be assembled in as few and in as continuous 
stretches on the same sheet as is practicable, and these stretcdbes 
should be condensed within the sheet so far as the necessary allow- 
ance for outlying section lines, lettering, and other markings will 
warrant. 

PROWtB. 

Profiles should appear on separate sheets from the plans and should 
be drawn directly across the sheet» with the separate rows condensed 
as above. Their direction should be from left to right, irrespective 
of easting or westing, and this direction of profile should be main- 
tained for all sheets of the set. 

For profiles tmiform vertical scales must be used so far as possible 
and profile angles in excess of 45° must be avoided. The profile will 
be constructed from the water-contoiu crossings, supplemented by 
elevations determined at head and foot of falls, etc. (See p. 155.) 
Profile lines should be drawn heavier than construction lines, and 
sharp angles should be slightly smoothed. 

DRAFTING. 

Free-hand inking must be in sharp, fine dark lines, suitable for 
clear reproduction by photolithography (see p. 169), and right lines 
must be twice lined if fine or in color. 

Land lines must be drawn solid and township lines emphasized. 
Section numbers must be shown only where land has been sec« 
tionized; they should be draA\-n preferably at the centers of sections 
but should always be offset therefrom if necessar>^ to gain legibility. 

Lettering in general should not be placed on or ^^'ithin the inked 
topography but kept in open places. 



MAP CONSTRUCTION. 17I 

PROOF JISADXNG, INSPECTION, EDITINC, AND TRANSMISSION. 

ORDER OF PROCEDURE. 

Ob the oompletion of the inking, atlas sheets or other topographic- 
map manuscript prepared either for engraving or for photolithography 
will be transmitted by the topographer through the division chief in 
accordance with the following routine : 

Border corrections of adjoining sheets. — Whenever practicable, 
border corrections will be made of previously engraved or transmitted 
sheets that do not accurately join on to current work . If the previous 
sheet is still in the editor's hands the original of that sheet should be 
corrected ax&d the editor informed of the correction; if the previous 
sheet has been transmitted for engraving, or is engraved, a more 
elaborate procedure is necessary. If the correction is a small one, 
it should be submitted in a distinctive color on an engraved or photo- 
lithogr^hic copy, provided it can be legibly shown thereon; but if 
it is extensive or involves close drafting, it should be submitted as 
an oversheet tracing in standard colors, the scale being immaterial. 
All corrections to engraved work should be inked in strong photo- 
graphic colors and should be accompanied by a clear copy for the 
corre^xmding take-out on the copper plates. 

Lettering. — The final drawing, accompanied by a legible lettering 
diagram on tracing paper or cloth, is transmitted to the drafting 
room for lettering. 

Land classification and woodland sheets. — Land classification and 
woodland data are to be shown on oversheet tracings made to conform 
to the usual requirements governing the joining of previous work. 
(See p. 149.) 

Proof reading. — Proof reading should be done by a topographer 
who has not been engaged on the same piece of work. (See p. 172.) 

Ta inspectors for examination. — The original drawing, the bcorder- 
conectioaa material for adjoining sheets, and the land classification or 
woodland sheets are all to be transmitted to the inspection room for 
examination before being submitted for executive and administra- 
tive approval. 

Approval. — The sheet must be approved for photolithography, for 
engraving, or for both, by the division geographer and later by the 
chief geographer. 



172 INSTRUCTIONS TO TOPOGRAPHERS. 

Photolithography. — All sheets issued in photolithographic edition 
should be marked "Advance sheet subject to correction." 

Editing. — Sheets approved for engraving should, after the mailing 
of photolithographic copies from the office, be released from the 
fireproof safes and referred to the editor of topographic maps for 
editorial review and examination. 

Reference hack to the chief geographer. — On the completion of the 
editing, the original drawing, accompanied by its edited photograph 
and any other necessary sheets, will be referred back, in jacket, to 
the chief geographer for reply to queries, approval, comment on 
■editing, and retiu*n to the map editor. 

Transmission for engraving. — On completion of the map editing 
the sheet is formally transmitted by the chief geographer through the 
Director (executive division) to the engraving division. 

Engraved prqofs. — The first combined engraved proofs, after piDof 
reading by the map editor, are referred to the chief geographer for 
final approval before the printing of the map edition. 

Transmission to land-classification hoard. — All land classification 
and woodland sheets for public-land States and written reports 
thereon are to be transmitted to the land-classification board. 

Transmission of special reports. — ^AU special reports must be 
referred to the division geographer for appropriate action. 

Filing. — On approval of the final work on any sheet, all remaining 
map material pertaining to it should be turned over to the custodian 
of records for safe keeping or appropriate filing. 

PROOF READING. 

Before being transmitted to the inspectors for examination the 
original drawing, together with all auxiliary map data (including 
adjoining border corrections and land-classification sheets), must 
be submitted, through the division geographer, to a disinterested 
topographer for rigorous proof reading as to its completeness, accu- 
racy, and general conformity with Survey instructions. For such 
proof reading the form printed below (also issued sep rately) should 
serve as a guide; it should, however, be regarded as suggestive 
rath^" *^'^n ^s complete. 



MAP CONSTRUCTION. 



^7^ 



Record of proof reading Sheet. 



Topographer 

CHECK. 




Subject of examination. 



1. Houses, churches, schoolhouses, etc. 

2. Roads, first and second class, trails, etc. 

3. Railroads, trolley lines, switches, etc. 

4. Civil boundaries, State, county, township, city. 

5. B. M. symbols, triangulation stations, etc. 

6. Public-land lines, township and range ntun- 

bers, etc. 

7. Dams, ferries, bridges, tunnels, etc. 

8. Mines, quarries, etc. ■ 

9. Streams, double or single line, intermittent, etc.. 

10. Lakes, ponds, etc. 

11. Swamps, marshes, flood plains, etc. 

12. Contours, depressions, sand hills, etc. 

X3. Elevations, contour numbers, B. M.'s, etc. 

14. Names of post offices, villages, civil divisions. 

streams, railroads, etc. 

15. Borders and names of adjoining sheets. 

x6. Marginal lettering, numbers of coordinates, 
magnetic declination, scale, diagram of town- 
ship, etc. 

17. Forest reserves, Indian reservations. 



Each pxofA reader check following numbers, corresponding to separate five-minute 
blocks: also place check marks in coltunns above, opposite each subject, and sign 
below: 



321 
456 

987 



19.. 



Topographer. 



321 
456 

987 



19. 



Proof reader. 



As it is a function of the inspectors to advise and instruct regard- 
ing this proof reading and by examination to see that it is faithfully- 
performed, not to do it themselves, such work by the proof-reading 
topographer will be carried out so systematically and so thoroughly 
as to preclude the necessity for any fiuther similar work by anyone 
else. This will involve a minute and thoughtful checking up of 
the entire map through all its features from every point of view 
that can suggest itself to an experienced topographer. 

In order that the proof reader mav know that his notations have ' 
been attended to, or can be satisfactorily explained by the autV 



174 INSTRUCTIONS TO TOPOGRAPHERS. 

or inking topographer, the latter, after due attention and correction, 
will in all cases return such notations intact to the proof reader for 
release or further action, pending wiricfa the proof reader will with- 
hold his signature from the sheet margin. 

In order that the general character and sufficiency of sucli proof 
reading may be under the immediate supervision of the inspectors, 
the division geographers should promptly advise the inspectors of 
all proof-reading assignments. 

EDITING TOfPCXJRAPHIC MAPS. 

The editor of topographic maps examines and edits the manuscript 
on a photograph made to scale of publication, and marks with red 
ink all corrections, amendments, and changes for the information of 
the engravers. The jacket, with manuscript and photograph, is then 
returned to the topographer, that he may answer queries, supply 
omissions, and review the corrections, interpretations, and rearrange- 
ments made by the editor. 

When the chief geographer is satisfied that the editing is com- 
plete and in proper form he indorses the jacket "Approved for 
engraving." 

At the close of each month the editor of topographic maps adrases 
the chief geographer of the sheets whose editing has been completed, 
and such are then formally transmitted by the chief geographer to 
the engraving division (through the Director). 

When the engraving of a map shall have been completed and 
combined proofs printed, the chief engraver refers the complete 
manuscript, together with twelve engraved copies, to the chief 
geographer. After further review by the editor, the chief gecigrapher 
transmits the corrected proofs to the chief engraver, ai^ro^Rcd te 
final printing. 

In transmitting manuscript maps and pioofs irom one divtitoa to 
another the officer in charge indorses on the ^ket tlie date of 
transmittal and the purpose for which the map was referred. 

After the completion of the engraving and ptrinting of may topo* 

graphic sheet, the manuscript drawing will remain in tlie cxutady of 

^he editor of topographic maps, and all other engraving material will 

r^thP^ i^ ^^^ ^"g^'^^^ i^k^^ ^^ ^^ foreman of the pfate 
ngra^'^ * -sion. 



SUPPLEMENTARY DATA. 

MEDICAL AND SURGICAL ATTENTION. 
FIRST AID IN EMBROBNCT. 

Sunstroke. — Get patient into the shade at once. Place on back, 
loosen clothing, and apply cold water to head and neck. Do every- 
thing practicable to reduce temperature of body and rapidity of 
pulse. In ca^ of exhaustion and threatened collapse, with cold 
skin and extremities, pale face, and weak pulse, alcoholic stimulants 
and heat to the body become necessary. 

Lightning. — Dash cold water over person struck. 

Frostbite. — Carefully raise temperature of part frozen (which 
looks white or bluish white and feels cold) by gentle rubbing, prefer- 
ably with snow or a sponge or cloth dipped in ice water. Do not 
expose to heat of fire. When congestion begins to subside incase in 
flannel or cotton wool. 

Burns and scalds. — Do not break the blisters nor prick them. 
Cover at once with cooking soda and lay wet cloths over it; or use 
olive oil and linseed oil mixed; or olive oil and limewater if 
available. Put nothing on a bum that will be difficult to remove 
afterward. 

Drowning. — Remove clothing from upper part of body. Lay 
patient face down and empty lungs of water by lifting the body by 
the middle and jerking it a few times. Then place patient on his 
back with a roll under his shoulders. Clean out mouth and nose 
and pull tongue forward with a dry handkerchief. Start breathing 
by alternately raising both arms above the head and then bringing 
them down again, pressing them against sides and front of chest. 
Repeat about fifteen times a minute and continue for at least one 
hour. Occasionally hold ammonia to nose and slap chest with cold 
wet cloth. Remove lower garments, rub skin dry, rubbing always 
toward the heart. Help out breathing movements by blowing air 
into mouth of patient at moment when arms are being raised (the 
tongue must be pulled forward and the Adam's apple pressed down 



176 INSTRUCTIONS TO TOPOGRAPHERS. 

to make this efifective). Above all don't give up. Persons have been 
brought to after hours of persevering, vigorous effort. As soon as 
breathing begins give stimulants and warm drinks by teaspoonfuls, 
and get patient to bed as soon as possible. 

Mad dog or snake bites. — Tie cord above wound at once. Suck 
woimd (but be siu-e you have no cuts or sores in your lips or mouth), 
cauterize with corrosive sublimate or other caustic, or else with 
white-hot iron; if none of these means are at hand cut out surround- 
ing flesh with knife. The poison must be prevented from spreading 
into the circulation. 

The bites not only of venomous snakes and mad dogs but of prac- 
tically all animals are dangerous and liable to produce blood poison- 
ing, as their saliva is at all times charged with septic germs. Ever}- 
bite, however insignificant, should, therefore, be very thoroughly dis- 
infected, preferably with a solution of corrosive sublimate. 

Venomous insects' stings. — Apply weak ammonia, oil, salt water, 
or iodine. 

Poisoning. — Ptomaines, that is, toxic substances developing in 
spoiled or decaying food, are the most common soiu^ce of poisoning. 
In all cases an effort must at once be made to empty the stomach by 
vomiting. Tickling the throat with feather or finger or drinking 
warm water with mustard are the best means to induce it. The 
bowels should be cleaned out by the free use of Epsom or Rochelle 
salts, castor oil, or some other laxative. After the poison has been 
eliminated stimulants should be g^ven and heat and rubbing applied. 

Poisoning by drugs or acids requires special antidotes. 

For strychnine give mustard and water or sulphate of zinc in 10 to 
15 grain doses. Keep the patient absolutely quiet. Plug his ears. 

For opium, morphine, laudanum, and other opiates give strong 
coffee and hot bath. Keep the patient awake and moving. 

For any of the foregoing poisons a teaspoonful of tannic acid, fol- 
lowed by an emetic in 15 minutes, is advised. 

For arsenic, rat poison, or Paris green give milk, raw eggs, sweet 
oil, limewater, or flour and water. 

For lead, saltpeter, corrosive sublimate, sugar of lead, or blue 
vitriol give whites of eggs, or milk in large doses. 

Por chloroform, chloral, or ether dash cold water on head and 
cliest Give artificial respiration. Put a. ipv^^it of ice in the rectum. 



MEDICAL AND SURGICAL ATTENTION. 1 77 

For mercury and mercury salts give whites of eggs, milk, and 
mucilaginous drinks. 

For carbolic acid give flour and water and mupilaginous drinks; 
alcohol or whisky can be applied externally or internally with benefit. 

For potash, lye, or ammonia give vinegar or lemon juice in water. 

Tests of death, — ^Hold a mirror to mouth; if person is alive moisture 
will gather. Press a pin head into flesh; in case of death the mark 
will remain; if it closes life is not extinct. 

SURGICAL ATTENTION. 

Cuts and flesh wounds. — ^Reduce the flow of blood at once by apply- 
ing cold water, snow, ice, or salt; also by elevating the limb or part 
injured. If an artery is cut and the blood spurts in jets, try to stop 
the flow by pressing the artery against a bone or muscle with the 
thumb or forefinger. If the injury is to a limb tie a band tightly 
around it above the wound — that is, between wound and heart. To 
tighten, introduce a stick into the band and twist it. Stop turning 
the moment the flow stops. Remember that too much force may 
bruise flesh or muscles. Relax the bandage at the end of an hotir 
any way, for keeping up the pressure too long may strangle the limb. 
Keep bandage in place, however, ready to tighten again if necessary. 

Remove all dirt from woimd and wash with antiseptic solution, 
preferably corrosive sublimate (one tablet in one quart of water). 
Avoid using carbolic acid, as it may produce gangrene. Attach a 
long strip of sticking plaster to skin or on one side of cut, draw the 
flesh together, and stick down the plaster on the other side. 

Deep flesh woimds or holes such as one may get by falling on a 
pointed stick or by stepping on a nail must be kept open; otherwise 
they will grow over at the surface before they heal inside. Wash 
out daily with corrosive sublimate and dust with aristol powder or 
apply aristol and boric acid mixed half and half. Always leave a 
strip of sterilized gauze in the woimd before dressing. It will auto- 
matically drain the cavity by capillary action. 

Bruises and contusions. — Use cold applications at once. Lead 
water and laudanum on a piece of cloth frequently renewed will 
help to allay inflammation. Then apply some soothing ointment or 

66512 — 13 13 



178 INSTRUCTIONS TO TOPOGRAPratKS. 

lotion, like avka or witch hatel, and bwMt i ii inatj «i as to afford 
moderate preaure. 

Sprains mmd swollen joints. — Apply lead water umd Unsdamam on a 
piece of dodi. Bandage tightly and ghF« wtSt, hut keep flMKks 
from stiffenhig by occasional gentle massage and exercise. Paint 
with ttnctnre d iodine, if available. 

Rupture. — Place on back in reclining poiitkMi, head down and 
abdomen and le§$ propped np, so bowels may retract with aid of 
gravity. Redttee circulation of blood in parts affected by applying 
cold wet cloths or ice if available. When bowels have ceased to 
pfotrude, imprerrise trttss by bandaging tif^tly about abdomen and 
thighs. Get patieilt to skilled surgeon without delay. 

Fraciurss.'^Vo suit waste time making complicated dressings and 
saints. Broken boaes recpiire the most ezpot sai)gical skill for 
their proper acttfaig. Make up your miad that no time is to be lost 
getting the ii^ured man to a surgeon, and confine yomr efforts t» pro- 
vidiiig an iapcoviacd splint or supporting bandage that will enable 
him to travel with tlie least possible suffering and diacomfart. 

TtanspoftoHon. — Do not be afraid to traniqiort injured people to 
camp <x town immediately after an accident. They can as a rule 
stand more hardship and will suffer less in traveling the first few 
hours after an accident than they will the next day. 

M BIHCAL AND SURGICAL OUTRT. 

Illness and injury have proved on the whole so infrequent. among 
field men that few parties now carry medical or surgical outfits. It 
is advisable, nevertheless, to keep a few simple remedies and sur- 
gical articles on hand, especially when working in remote and rather 
inaccessible areas. The following list may serve as a guide to those 
most essential in making up a compact outfit: 

Pocket cyclopedia of medicine and siu-gery, by Gould and Pylc. 

Quinine, a-grain compressed tablets (or capsules, but not pills). 
As a general tonic and preventive against malaria, take 2 grains 
after each meal. 

Quinine sulphate, 1% grains; arsenous acid, ^ grain; powdered 
capsicum, }4 grain. One every three hours for malaria. 



MEDICAL AND SURGICAL ATTENTION. 1 79 

Compound cathartic, U. S. Pharmacopoeia. Extract colocynth, i}i 
grains; calomel, i grain; resin jalap, y^ grain; gamboge powder, yi 
grain. This is a standard cathartic. One or two at night. 

Calomel, ^ grain. One every hour until cathartic action is 
obtained; follow by dose of Epsom salts, castor oil, or sal hepatica. 
For acute indigestion, biliousness, and torpid liver. 

Epsom salts, sal hepatica, castor oil. For cleaning alimentary 
tract in dysentery, ptomaine poisoning, fermentative diarrhea, etc. 
Large doses of either salt are debilitating, and must be followed with 
stimulating but light foods. Castor oil does not require this. Sal 
hepatica in small doses is excellent for rheumatic troubles. 

Sun cholera mixttu-e. Tincttu^ opium, 3 minims; tincture rhu- 
barb, 5 minims; tincttu'e capsicum, 5 minims; spirit peppermint, 
5 minims; spirit camphor, 5 minims. For diarrhea one to two every 
three or four hours as needed. Do not take more than four or five 
doses. 

Limewater tablets. For acidity and nausea. Externally excel- 
lent for bums and scalds when mixed with linseed oil. (These tab- 
lets often require a long time to dissolve.) 

Brown-mixture tablets. Standard remedy for coughs and colds. 
Extract licorice, z/ao grain; camphor, 1/50 grain; acid benzoic, 1/50 
grain; oil anise, 1/50 minim; opium powder, 1/50 grain; tartar emetic, 
1/120 grain. Disiolve one on the tongue every hour until cough 
becomes free. Do not take for a longer period than 36 hours, but 
follow with an emulsion of cod-liver oil, teai^xx>nful three or four 
times a day. 

Boric-acid solution, diluted, for eye lotion. 

Carbolized vaseline, for skin abranons aad wounds. 

Blue ointment, for chnmxc ulceration and animal piuraaitic affec- 
tions of the skin. Excellent for the preventioa of ntst on firearms. 

Ichthyol ointment. Dilute 25 to 50 per cent with water for skin 
diseases. 

Glycerin. For skin a£teclk>ns, chapped hands, etc. Invaluable 
for earaches pioduced by insects, foreign bodies in ears, etc. 

Pond's extract ointment, camphor ice (Chesebrough's). For sore 
lips, chapped hands, or sunburn. 



l8o INSTRUCTIONS TO TOPOGRAPHERS. 

Lead water and laudanum tablets. One tablet to 2 tablespoonfuls 
of water. Invaluable for sprains, bruises, saddle chafes, etc. 

Corrosive sublimate tablets. One tablet to i quart of water (or 
about I to 2,000 solution) for washing open wounds. One tablet to 
one-half pint for cauterizing snake or dog bites. Apply with cotton. 

Aristol powder. For flesh wounds, ulcers, etc. Dust on wound 
or apply with boric acid (equal parts). 

Mustard leaves. For plasters, etc. 

Arnica and witch hazel ointment. For bruises, contusions, etc. 

Surgical sundries, such as bandages; absorbent cotton; antiseptic 
gauze; adhesive plaster, in lo-yard spools, i-inch width; fever ther- 
mometer; surgeon's assorted needles; surgeon's silk on cards; glass 

dropper. 

PACK TRANSPORTATION. 

In many localities the topographer has to depend solely on pack 
animals for transportation. Even where wagon roads exist pack 
animals are often required for side trips or station work. As the 
party chief frequently has to rely on his own knowledge and re- 
soiu*ces in instructing assistants in these matters, he must be familiar 
with details of packing and pack-train management. 

PACK-TRAIN EQUIPMENT. 

The following list may serve as a convenient guide in the equip- 
ment of a pack outfit for a topographic party of six men (two instru- 
ment men, two assistants, a cook, and a packer). Riding animals, 
saddles, and the accessories that go with them are not included. 

6 pack animals. 

6 padcsaddles. with rigging and pads. 
6 saddle blankets. 
6 pairs pack bags or alforjas. 
I pair small mess chests. 
I stationery case, telescoping. 
9 canvas pack covers. 

9 lash cinches, each with a 40-{oot rope, K-inch. 
6 halters, each with a 7-foot rope, H-inch. 
6 sling ropes, 30-foot rope, ^inch or ^inch. 
I stock bell with heavy leather strap and buckle. 

Hobbles and 30-foot picket ropes with swivels, according to the nature of the 
country and the disposition of the animals. 



PACK TRANSPORTATION. l8l 

Horseshoeing kit. 

Extra shoes, one set especially fitted up for each animal, if work is to be distant 

from a blacksmith's shop. 
Hamessmaker's kit. 
Extra harness leather, cinches, cinch hooks, lace leather, webbing, buddes, 

rings, rope, etc. 
Liniments, an.tiseptic washes, etc., for galls. 

Experience has taught that the crosstree (sawbuck) saddle is best 
adapted to the needs of the Survey for pack transportation, though 
the Abercrombie, which is a combination pack or riding saddle, may 
often be used to advantage. Either type should be rigged with 
breast straps, breeching, and wide double hair cinches with the 
large latigo rings protected with leather pads. If possible, the 
saddle should be fitted to the animal's back and always used on the 
same animal. Sweat pads, of 12-ounce canvas, renewed when neces- 
sary, should be used between the blankets and the animal's back as 
a protection to both. 

ORGANIZATION OF PACK TRAIN. 

In the pack train the natural leader should be the bell animal, 
and only one bell animal should be in the train, unless there are 
other leaders who tend to separate the pack train into small bunches, 
in which event they should also have bells. 

The bell animal should lead the pack train with one member of 
the party riding him or the animal immediately following, and the 
animals should be arranged in reference to their likes, dislikes, and 
gaits. When practicable, distribute the men about four or five 
animals apart, each man keeping the animals ahead of him in line 
and preventing lagging. Until the animals are broken in, let each 
man lead one, or if necessary a string of animals. Each man should 
be instructed to watch the packs in front of him and should be held 
responsible for them. No stops should be made to adjust a pack 
without signaling those ahead to halt. 

CARRYING CAPACITY OF PACK TRAIN. 

It is safe to estimate that one pack load is sufficient for one man 
for 22 days, the load to include portions of the ration, instruments, 
outfit, camp equipage, and forage. When it is found necessax^ t$i 



1 82 INSTRUCTIONS TO TOPOGRAPHERS. 

transport forage for any length of time the size of the pack train 
must necessarily be increased. Every attempt should be made to 
make the loads as light as is consistent with the requirements; tents, 
kitchen ware, stoves, or reflectors, foodstuffs, and other necessities 
should be selected with special attention to this end. 

Loads should average from 150 to 200 pounds, according to the 
size and experience of the animal and the nature of the journey. 
Heavier loads may be necessary, but loads within the limits given 
will be found more expeditious, especially if the animals are just 
from pasture, when heavy loads and long marches should be avoided 
until they have had time to get hardened and packwise. Care must 
be taken in balancing the heavy load in side packs, with the light 
or bulky part on top, and in seeing that the pack is cinched tight. 
Constant lookout must be kept to see that the load does not sliift or 
turn; if it does it should be immediately straightened to avoid sore 
backs or mishaps. 

MARCHES. 

The gait and distance when traveling depends entirely on the 
character of the country. Over flat cotuitry , good roads, and smooth 
trails* 30 to 30 miles is a good day 's joiuney . Across broken ooimtry, 
over difficult moimtain trails, or through fallen timber, 10 miles or 
less is all that can be made. If the train is to subsist on the country, 
the different members of the party should be on the lookout for feed. 

CARS OF PACK ANIMALS. 

In rotigh country, where pack animals will have hard usage, they 
should be given every possible consideration. If possible, camp 
should be located convenient to feed and water. The saddle should 
not be taken off at once; it should be loosened and allowed to stay 
on the animal for half an hour if the back is wet. Immediately 
thereafter, the pack animals should be allowed to roll and cool off 
around camp, and if any of them have sore backs these should be 
properly cleansed and treated. Their feet should also be inspected 
frequently and shoes fitted and replaced when necessary. In regions 
infested by mosquitoes a smudge should be built as a protection 
f possible, shelter should be provided. 



INSTRUCTIONS TO TOPOGRAPHERS. 183 

UMITSD STAIBS SRTBlf OF PD9LIC-LAVP SOKVEYS. 

The following discusskm, based on the " United States manual of 
public-land surveys," to which the tofiQgrapher is referred for more 
detailed information, is intended to give the topographer a feneral 
outline of the plan and practices of the public-land •urve3rs. 

TowvsHir innT& 

The unit of the system is the town^p, a tract 6 miles square, or 
nearly so, bounded on the east and west by true north-soutli lines, 
and on the south and north by east-west lines, and subdivided into 
36 sections, each a mile square, or nearly so. 

As true north-south lines (that is, meridians) oonvefge nor&ward 
to the pole, it is evident that the width of a towndiip decreases 
slightly from south to north (41.9 links in latitude 30^ to 86.5 links 
in latitude 5o^)S and that its shape is really trapezoidal and not 
square. It is evident also that as the meridian lines are extetuled 
northward town^ips wilt become pfogreanvety narrower and will 
be reduced in area. These oomplesdties growing out of the tnhetent 
convergence of meridians on a i^ilierical surfoce like that of the 
earth were not taken into account in framing the original law, the 
intent of which was, apparently, to pcovide for square URtti of uni- 
form size ; nor was any pnmsfon made for a system of coRtpol Uoes 
whereby the narrowing of the townships, on the one iamdt Ml ^^ 
inaccuracies in the surveying of the subordinate lines, on tjte odier 
hand, might be kept within convenient limits. HoweTtr» tl|^ 4bst 
public-land siu'veys to be executed, notably the gImIc '^Ikven 
Ranges" in Ohio, demonstrated the need of remedying tfwie ^pfects, 
and as a result there has been evolved by successiTe iMtl 9f^tf^ a 
sy^em of rectangular surveying which ''harmoniret the HMMfMti- 
bilities of the requirements of law and practice '* and hm taoome 
the accepted standard for the entire country. 

PRIKCIPAL MRgmiAIIS AHP RA8R UWM. 

All surveys in a given area are referred to two priRMfy Uttes, a 
principal meridian and a base line, passing tbfOU|^ «l isM^I poiRt; 

i All puMic^aad Mill iii—wrti III iwi 1 jn riinim spf Bijpt. Achaia«fioo 
links is equivalent to 66 feet u—mutt lamme, aad 9o cfaaiai eflQislv 



184 INSTRUCTIONS TO TOPOGRAPHERS. 

the one is a true north-south line and the other a true east- west line, 
that is, a parallel of latitude. These two lines constitute the axes 
of the system, and the township units are numbered with reference 
to them in consecutive tiers to the north and to the south, respec- 
tively, beginning at the base line; and in consecutive ranges to the 
east and to the west, respectively, beginning at the principal me- 
ridian. Any township, accordingly, may be designated by tier and 
range number, as T. 14 N., R. 7 W. fourth principal meridian, or T. 
10 N., R. 28 E. Moimt Diablo principal meridian. The principal 
meridian must be added to each designation; there are about 30 
separate systems in the United States, each with a separate set of 
axes and a separate system of numbers. The number or name of the 
principal meridian serves to distinguish these from each other. 

STANDARD PARALLELS Ain> GUIDE MERIDIANS. 

From the principal meridian, commonly at intervals of 24 miles, 
auxiliary base lines called standard parallels, or correction lines, are 
extended east and west. They are numbered each way from the 
base line, thus, first standard parallel north, third standard parallel 
south. 

From the base line, usually at intervals of 24 miles, auxiliary 
meridians called guide meridians are run due north. They are 
numbered each way from the principal meridian, thus, first guide 
meridian east, second guide meridian west. As they converge ap- 
preciably in a distance of 24 miles (the exact amount depending on 
the latitude), they are not continued beyond the first standard parallel 
north, but end at closing corners on that line and start afresh from 
standard corners a full 24 miles apart. It will therefore be seen that 
standard parallels have two sets of corners, one set referring to lines 
north of the parallel, and the other being established by township 
and section lines from the south, closing on the parallel. The process 
is repeated at the second standard parallel and at all succeeding ones. 
Each guide meridian thus runs due north from parallel to parallel, 
and on each of the latter is an offset to correct for convergence. 

South of the base line guide meridians are run not south, but north, 

so that the blocks inclosed between them and the parallels there are 

essentially similai to those north of the base line. In case conditions 



UNITED STATES SYSTEM OF PUBUC-LAND SURVEYS. 1 85 

require that a guide meridian be run south it must be begun at a 
properly established closing comer. 

The standard distance of 24 miles between parallels and meridians, 
it is to be noted, is not always strictly adhered to. Thus, in many 
parts of the far West there are live tiers of townships (30 miles) 
between parallels and six, seven, or more ranges between guide 
meridians. In some places these irregularities in the spacing of the 
standard lines necessitate the introduction of intermediate meridians 
and parallels. These are designated by local names. 

Certain data are of special importance in the platting of guide 
meridians and standard parallels, and these the topographer should 
not fail to secure from the Land Office. They are the offsets of the 
meridians on the parallels and their closing distances. 

The meridional convergence increases proportionately to the dis- 
tance from the principal meridian. Therefore the offset of the sec- 
ond guide meridian is double that of the first guide meridian 
(between the same parallels); that of the third guide meridian is 
three times as great; and so on in proportion (assuming the intervals 
to be regular). Again, the convergence increases slightly northward 
with the latitude. Thus the offset of a first guide meridian in lati- 
tude 50° is more than double what it would be in latitude 30°. Of 
course the actual offsets depart somewhat from the theoretical ones 
because of inaccuracies in surveying, and this makes it all the more 
imperative that they be noted on the plats. 

It is to be remembered that all errors of closure in distance are 
thrown in the last mile and are not distributed over the entire lene:th 
of the line. The spacing of the comers along the line is thus not 
affected by the amount of the closiue . 

TOWNSHIP EXTERIpRS. 

Whenever practicable the siu^ey of township exteriors within a 
block boimded by standard lines begins with the southwest town- 
ship and continues northward tmtil the entire west range is com- 
pleted; thence it goes from south to north through the next range 
east, etc. The mode of procedure is first to run the east boundary 
of a township due north a full 6 miles. Then to run its north bound- 
ary on a random or trial line from east to west, correcting back on a 



1 86 



INSTRUCTIONS TO TOPOGRAPHERS. 



true line after the ''falling" north cm* south of the northwest township 
comer has been ascertained. The closure in distance, however, is 
thrown in the last half mile at the west end of the line; that is. 
between the last quarter-sectioa comer and the town^iip corner. 
The purpose of this is to t]u«M¥ the meridional convergence and all 
irregularities arudag (voas inacciuwle surveying toward the west 
bouxuiary ol the towulili. The last quarter-section corner accord- 
ingly lies n0t mtdwiy im the last mile, but always an even 40 chains, 
from the mile comer east of it, whatever the distance between it 
and the towaAip comer may be. 

In getting data for platting township exteriors, therefore, special 
note shftuld be made oi the closing distances at the west ends of the 
latitudinal townsllip boundaries. The accuracy of the surveys may 
be gaged ffom a ooflBparison of the actual closing distances with tlie 
theoretical ones, as indicated below: 



Theoretical closing distances at different latitiides. 



Latitude. 


CloBiiig distance. 




■ ■ 

Feet. 

5,252 
5,246 
5,240 
5,232 
5,223 


< 
50" 


79.58 
79>49 
79.39 
79.27 
79- X4 



In the northernmost tier of townships in a block it is further neces- 
sary to take note of the closing distances of the range lines on the 
standard parallel. Theoretically these distances should be an even 
80 chains, but inaccuracies in the azimuth of the standard lines on 
the one hand, and of* the township lines on the other hand, tisually 
cause discrepancies. It frequently happens that the length of chain 
used for the one set of lines differs appreciably from that used for the 
other, and the closure errors may then amount to several chains. 
Such discrepancies should be marked on the plats. 



UNITED STATES SYSTEM OF PUBLIC-LAND SURVEYS. 1 87 

SECTION USES, 

Each township is divided by section lines into 36 sections, which 
are numbered consecutively, commencing with No. i at the north- 
east angle of the township and proceeding west to No. 6; thence pro- 
ceeding east to No. 12; thence west to No. 18; and so on, alternately 
east and west, to No. 36 in the southeast comer. In all fractional 
townships the sections bear the same numbers they would have if 
the township was full. 

As townships are trapezoidal and not square, they do not contain 
a full 36 square miles each, but fall short of that amount by a num- 
ber of acres. It being undesirable to distribute this shortage among 
all of the 36 sections, the law provides that it shall be thrown into 
the westernmost range of sections, and that the other sections shall 
be laid out so as to contain a full 640 acres each, as near as may be. 
Accordingly, the longitudinal lines between sections are run not 
due BorUi, but parallel to the east boundary of the township. Each 
bears sHghtly west of north, according to the latitude of the town- 
ship and its distance from the east boundary. The latitudinal sec- 
tioa lines are run parallel to the south boundary of the township ; 
that is, as a rule they nm practically east and west. 

The subdividing of all normal townAips begins \vith the south- 
east section. Its west boimdary is run N. 0° i"" W. a full 80 chains; 
its north boundary is then run east on a random or trial line, a quar- 
ter section comer being temporarily placed at 40 chains. The "fall- 
ing" north or south from the appropriate comer on the town^ip 
boundary having been meastu'ed, the quarter section comer is then 
shifted proportionately and set exactly midway between the section 
cofners. In many of the older contracts these mles were not faith- 
fully carried out, and in consequence little dependence is to be 
placed on the position of the quarter section comers on the latitu- 
dinal section lines. The west boundary of the nesct section north 
is then rtm out, and then its north boundary as before, and so on 
up through the entire east range of sections. The other ranges are 
taken up consecutively from east to west, each being surveyed from 
south to north. The range lines of the northernmost tier differ from 
the others in that they are connected with the comers along th«* 



1 88 INSTRUCTIONS TO TOPOGRAPHERS. 

township boundary, and consequently are not always parallel to the 
east boundary nor measure an even 80 chains in length. Theoret- 
ically they should do so, but in practice the inacciu'acies in the sur- 
vejring of the township exteriors on the one hand and of the section 
lines on the other hand cause discrepancies. Accordingly, these 
lines are run first on a random or trial line parallel to the east bound- 
ary and then corrected back according to their falling. In order 
to confine the irregtilarities in acreage to the northernmost tier of 
lots, the excess of deficiency in measurement is thrown north to the 
quarter section comer, and the latter consequently is set not mid- 
way but an even 40 chains from the south end of the line. 

In the west range of sections, again, the latitudinal lines are con- 
nected to comers along the west township boundary. Each is there- 
fore run first on a random parallel to the south boundary of the sec- 
tion and then corrected back according to its falling. Here again, 
in order to confine the irregularities in acreage to the westernmost 
range of lots, the error (which normally is a deficiency equal to the 
meridional convergence) is thrown west of the quarter section cor- 
ner, and the latter is set not midway but an even 40 chains from 
the east end of the line. 

MBANDBRS. 

Where land lines cross rivers, the right-angle width of which is 
three chains and upward, lakes, bayous, and deep ponds of 25 acres 
area and upward, meander comers are established on each bank, 
and from these are run meanders (corresponding to traverse lines) 
along the banks, to close on other meander comers. Similarly, water 
bodies of 25 acres area and upward, lying within sections, are sur- 
rounded by a meander tied to the two nearest section or quarter 
section comers. Islands, finally, are located by triangulation from 
meanders on the shore, an auxiliary meander comer being estab- 
lished on each one of them. 

Meanders are run for the sole purpose of providing a definite 

boundary for the land areas in the lots abutting on water bodies, so 

that the acreage of such fractional lots may be computed with accu- 

racv. There is consequently no object in publishing meanders on 

^graphic maps, and they are to be omitted. At the same 



UNITED STATES SYSTEM OF PUBUC-LAND SURVEYS. 1 89 

time, distances to meander comers and notes or plats of meander 
lines are often of great value in the construction of the maps in the 
field, and such data should therefore be secured in all important 
cases. 

Care should be taken in drafting the field sheets to discontinue 
land lines at river banks and lake shores. They should not be rep- 
resented as crossing the water body. 

BLAZING LINES. 

Trees on line have two chops or notches cut on the sides facing 
the line. Other trees standing within 50 links of the line, on either 
side of it, may be blazed on two sides diagonally or quartering to- 
ward the line; the blazes approaching nearer each other the farther 
the tree stands from the line. 

Random lines are not blazed. 

MARKING CORNERS. 

Classes, — Land-siu^ey comers are divided into the fourteen fol- 
lowing classes, each of which has a distinctive set of marks and is 
marked in accordance with definite rules: 

Standard township conier$r 
Closing township comers. 
Comers common to four townships. 
Comers common to two townships only. 
Comers referring to one township only. 
Standard section comers. 
Closing section comers. 
Comers common to four sections. 
Comers common to two sections only. 
Comers referring to one section only. 
Quarter section comers. 
Standard quarter section comers. 
Meander comers. 

Comers on reservation or other boundaries not conforming to the regular sys- 
tem. 

Each of these fourteen classes of comers may be constructed as 
the character of the cotmtry and the availability of the materials 
permit, in eight different ways, as follows: 

Stone, with pits and mounds of earth. 
Stone, with mound of stone. 



I90 INSTRUCTIONS TO TOPOGRAPHlSRS. 

Stone, with bearins trees. 

Post, with pits and mounds of earth. 

Post, with bearing trees. 

Mound of earth, with deposit and stake pit. 

Tree comer, with pits and mound of earth. 

Tree ccMtier, with bearing trees. 

No less than 112 different combmations may be met in the field. 
There is, however, no need of describing each combination sepa* 
rately; the marks follow a definite simple system and in a measure 
are self-explanatory. 

Notches and grooves. — Stones and posts on all township and section 
comers (except those on standard parallels) are set diagonally to the 
lines; that is, with an edge on each line. On the edges are cut 
notches, the number of which indicates the number of miles to tlK 
nearest township comer in the directioii of the edfe. Thus, tiie 
first mile comer on a range line between two towiiihips bos one 
notch on the south edge and five notches on the north edge; and the 
second mile comer, two notches on the south edge and four m^^^^fg 
on the north edge. On a latitudinal townabip boundary, the Hot 
mile comer west of the township comer has ooenoldi on tte east edge 
and five notches on the west edge; and the seeond corner west has 
two notches on the east edge and four notches on the west edge. A 
oomer common to four townships has six notches on each of its four 
edges. 

Section comers within a township are notched on their south and 
eaft edges only. The number of notches on them, thetefioce, mdt- 
cates the distance in miles to the south and east township extefioo, 
respectively. Thus, the comer between sees. 35, 26, 35, and 36 hss 
ooe notch on its south edge and one notch on its east edge; the ooner 
between sees. 10, 11, 14, and 15 has four notches on its louth edge 
and two notches on its east edge; the comer between sees. 5, 6, j, 
and 8 has five iiotches on both its south and east edges. 

Sloaes and potts on standard parallels are set square with the lines; 
that is» with a flat face on each line. Their faces are graavtd, tbft 
mtmhtt ai gnx)ves on any face indicating the number of fltttea to 
the nearest township comer in the direction of the face. AmDotd' 
ingly, standard township comers have six grooves on their ttordi, 
cMt, and west facts; closing township comers have six grooves oa 



UNITED STATES SYSTEM OF PUBUC-LAND SURVEYS. 191 

thcdr south, east, and west faces. Staadard aection coraers are 
grooved only on their east axid west faces with respect to the stand- 
ard township coniecs. Closaig section comers are ^milarfy marked 
with respect to the closing townsliip comtts. 

Tree comers are notched iso correspcmd with the notdies or groores 
which stones or posts would bear in the same situation. 

Additional mwrks. — Standard comers of all kinds are marked s c 
on the north face; closing comers, c c on the south face. If posts 
or trees are used the town^p and range numbers also are indicated 
on the appropriate sides of standard and closing township comers; 
and the township, range, and section ntunbers on the appropriate 
sides of standard and closing section comers. 

Posts at ordinary township corners have each town^ip and range 
marked on the appropriate face; tree comers bear the same marks 
on large blazes. 

Posts at section comers are similarly marked with the ntunbers of 
the surrounding sections, and in addition, with the number of the 
township and range on the northwest and northeast faces, 
respectively. 

Quarter-section comers are marked "X s " on their north face if on a 
latitudinal line, on their west face if on a meridicxud line. If stones 
are used the s is omitted. 

Pits mnA mounds, — In open country, where the soil is soft enoui^ to 
permit digging, square pits are dug aboat each oomer, and the earth 
taken from them is heaped up into a oonlcal mound. At comers 
cu mi Mm to fottr townships the moisad is placed inunediately sooth 
of the nomunent; at comen comaion to ficmr sections, west of the 
nww M P i rnt ; at standard comers nortii, and at domag coraen aooth, 
of the monument; and at quarter-section comers, north or west«f tke 
monument acootdiQi^ as the line is a latitodtnal or meridianalone. 

The pits ate plaacd on eadi line about all oofBem except aection 
comers; at these last the pits are placed d i a f onally, one in each 
section. 

Where neither stone nor wood is available for snitahk corr 
monuments a maifccd stone, cbatred stake, or qamt of dharto' 
deposi t e d i foot bek>w the suifsce of the ground and the r 
placed aborve it. ^ 



J 



192 INSTRUCTIONS TO TOPOGRAPHERS. 

Where the ground is stony and does not permit the digging of pits, 
a pyramid of stones is built in lieu of a mound. 

Bearing trees. — Bearing trees, each with a large blaze facing the 
comer monument, are used wherever the required number of trees 
within proper distance is available. They are disposed and marked 
as follows: 

At township comers one in each sturveyed township, marked with 
township, range, and section number, followed by the letters **b T " 
(bearing tree). At section comers, one in each section, marked with 
township, range, and section number. At standard comers of all 
kinds, two trees, one in each section north of the parallel; at closing 
comers, two trees, one in each section south of the parallel. At 
quarter-section comers, two trees, one in each section. 

Witness corners. — When the true point for any comer falls in a 
place where its destruction by natural or other causes would be cer- 
tain, a witness comer is established in a secure position on a surveyed 
line, if possible, and within 20 chains of the comer point thus 
witnessed. 

A witness comer bears the same marks that would be placed on the 
comer for which it is a witness with the addition of the letters "w c " 
conspicuously displayed above the markings. Its bearing trees, 
similarly, are marked " w c." 

• REQUISITIONS. 

STATIONERY. 

In ordering stationery it is advisable to request not more than 
three months* supply at one time. Requisitions should be made 
on triplicate form 9-002 and should designate articles by ntimbers 
if any are known. Below are summarized the amount and kinds of 
stationery suitable for the several classes of field parties. Attention 
is called to the schedules of general articles (pp. 198-199), any of 
which may be supplied any class of party. 

.^ Precise-level party. 

fll^ X account book, 9-9x8, (3o-page. 
j ^yi^ a address, notification of, 9-966. 
"J*^ 'S bill of loding. 9-060. 
^^^f * employment contracts, 9-009. 



REQUISITIONS. 193 

6 employees, temporary, report of, to Civil Service Commission, 9-946. 
6 employment, field, application ior, 9-9ax. 
10 frdght or express shipment, label for, 9-948. 
a instruments, transfer of, 9~i39. 
a leave of absence, x-«i34. 
X level book, bench mark descriptions, 9-9x6. 

4 level notebooks, yard rod, 9-940. 
as level party, weekly report, 9-933. 

a4 mail forwarding card, postmaster, 9-977. 
Z5 mail, second class, label for, 9-X60. 
20 postal cards, plain. 
35 precise levels, computation form. 9-933. 
15 precise levels, abstract form, 9-937. 

a property, inventory of, 9-054. 
xo proposal for general suppUes livery, etc., 9-005. 

a requisition, instnmients, 9-445. 
zo requisition, stationery, 9-003. 
13 topographic party, monthly report, 9-908. 

6 envelopes, blue, cloth-lined, 5 by zo inch. 
Z3 envelopes, addressed for Topography. 

6 envelopes, white, extra letter size, 4J4 by loH inch. 
25 envelopes, standard letter size, 3H by SH inch. 

6 envelopes, maziila. 9 by X3>^ inch. 

a ink, fotmtain pen, wood case. 

6 pencils, Dixon's No. 4. 

z paste tube. 

z rubber bands, box. 
zo tags, linen, express shipment. 

5 tags, linen, penalty or plain. 

3 tags, linen, instrument repair. 

6 voucher, pay, 9-oz3a. 

6 voucher, party pay and subsistence, 9-0Z5. 
z5 voucher, purchase, 9-0Z3. 

a voucher, subvoucher book, 9-0Z7 (camping parties 3 additional). 
6 voucher, traveling expense, with detached memorandum copy, 9-016. 

Primary-level party, 

1 account book, 6o*page, 9-9Z8. 
13 address, notification (tf, 9-966. 

6 bill of lading, 9-060. 
Z5 employment contracts, 9-^x)9. 

6 employees, temporary, report of, to Civil Service Conmiission, 9-^46 

6 employment, field, application for, 9-93 x, 
zo freight or express shipment, label for, 9-948. 

665x3 — Z3— — Z3 



194 INSTRUCTIONS TO TOPOGRAPHERS. 

3 instruments, transfer of. 9-139- 

2 leave of absence, 1-034. 

1 level book, bench mark description. 9-9x6. 

3 level notebooks, primary, black cover. 9-903. 

3 level notebooks, primary, yellow cover, 9-903- 
25 level party, weekly report, 9-922. 

24 mail forwarding card, postmaster. 9-977' 
15 mail, second class, label for, 9-160. 

20 postal cards, plain. 

2 property, inventory of, 9-054- 

10 proposal for general supplies livery, etc., 9-005. 

2 requisition, instnmients. 9-445- 
10 requisition, stationery, 9-002. 
12 topographic party, monthly report. 9-908. 

6 envelopes, blue, cloth-lined, 5 by 10 inch. 
12 envelopes addressed for Topography. 

6 envelopes, white, extra letter size, 4H by 10^ inch. 

25 envelopes, standard letter size, 3H by S!H inch. 

4 envelopes, manila, 9 by xaH inch. 
I ink, fountain pen, wood case. 

X paste, tube, 
xo pencils, Dixon's No. 4. 
I rubber bands, box. 

5 tags, Unen, penalty or plain. 
10 tags, linen, express shipment. 

4 tags, instrument repair. 

6 voucher, pay, 9-oi3a. 

6 voucher, party pay and subsistence, 9-015- • 

15 voucher, purchase, 9-012. 

X voucher, subvoucher book, 9-017 (two additional for camping parties). 
6 voucher, traveling expense, with detached memofandum, 9-016. 

Secondary-level party. 

1 account book, 6o-page. 9-918. 
X2 address, notification of. 9-966. 

2 bill of lading. 9-060. 

XO employment contracts. 9-009. 

2 employees, temporary, report of, to Civil Service Commission. 0-9 1'^. 
a employment, field, application for. 9-931. 
4 freight or express shipment, label for, 9-948. 

2 leave of absence, 1-034. 

3 level notebook, yellow cover, 9-903. 
25 level party, wedcly report. 9-922. 

xa mail forwarding card, postmaster, 9-977. 
10 mul, second class, label for, 9-160. 
^o postal cards, plain. 



REQUISITIONS. 1 95 

6 proposal for general supplies, livery, etc., 9-005. 

1 requisition, instruments, 9-445. 

5 requisition, stationery, 9-002. 

6 topographic party, monthly report, 9-908. 
3 envelopes, blue, cloth-lined, 5 by 10 inch. 

12 envelopes, addressed for Topography. 

1 2 envelopes, standard letter size, 3H by SH inch. 

2 envelopes, manila, 9 by 12M inch. 
I ink, fountain pen. wood case. 

6 pencils. Dixon's No. 4. 

5 tags, linen, express shipment. 

3 tags, instrument repair. 

3 voucher, pay. 9-0138. 

4 voucher, party pay and subsistence 9-015. 
15 voucher, purchase, 9-012. 

I voucher, subvoucher book, 9-017 (two additional for camping party). 

3 voucher, traveling expense, with detached memOTandum, 9-016. 

Triangulation party. 

I account book, 60-page, 9-918. 
ID address, notification of, 9-966. 

6 bill of lading, 9-060. 

1 computation book, large, 9-889. 
IS employment contracts, 9-009. 

6 employees, temporary, report of, to Civil Service Commission, 9-046. 

4 employment, field application for, 9r-92i. 

6 freight or express shipment, label for, 9-948. 

2 geodetic coordinates, computation of, 9-902. 

1 geodetic coordinates, computation of, 9-901. 

2 instruments, transfer of, 9-139. 
2 leave of absence, 1-034. 

10 mail forwarding card, postmaster, 9-977. 
10 mail, second class, label for, 9-160. 
20 postal cards, plain. 

2 property, inventory of, 9-054. 

6 proposal for general supplies, livery, etc., 9-005. 

2 requisition, instruments, 9-445. 
10 requisition, stationery, 9-002. 
12 topographic party, monthly report, 9-90S. 

6 envelopes, blue, cloth-lined, 5 by 10 inch. 
12 envelopes, addressed for Topography. 

6 envelopes, white, extra letter size, 4J4 by io\i inch. 
25 envelopes, standard letter size, 3^ by 8^ inch. 

6 envelopes, manila, 9 by i2>^ inch. 

I ink, fountain pen, wood case. 

I paste, tube. 



196 INSTRUCTIONS TO TOPOGRAPHERS. 

6 pencib, Dixcm's No. 4. 

3 pencil tips, metal and rubber, 
z rubber bands, box. 

5 tass, linen, penalty or plain. 

5 tags, linen, express shipment. 

4 tags, instrument repair. 

4 triangulation fidd notebook, 9-9x2. 

6 votsdier, pay, 9-ox3a. 

6 voucher, party pay and subsistence, 9-015- 
15 voucher, purchase, 9-0x3. 

2 voucher, subvoucher book, 9^0x7 (a additional for camping party). 
6 voucher, travding expense, with detadied memorandum, 9-016. 

Primary-traverse party. 

X account book, 60-page, 9-9x8. 
30 address, notification of, sr966. 
Z3 bin of lading. 9-060. 
25 employment contracts, 9-oo9> 

6 employees, temporary, report of. to Civil Service Commission, 9-94 

8 employment, field, application for, 9r^2x. 
xo freight or express shipment, label for, 9^48. 

3 instrument, transfer of. 9-X39. 
3 leave of absence, x-034. 

34 mail forwarding card, postmaster, 9^77* 
Z5 mail, second class, label for, 9-X60. 

xo pocket notebook, detachable leaves, $)-896a. 
30 postal cards, plain. 
Z3 primary-traverse field notd>ook. 9-938. 
zo primary- traverse distance record notebook, 9-929. 
3 property, inventory of, 9-oS4' 
10 proposal for general supplies, livery, etc., 9-005- 

3 requisition, instruments. 9-445« 
xo requisition, stationery. 9-002. 

13 topographic party, monthly report, 9-908. 

35 traverse party, weekly report, 9-923. 

6 envelopes, blue, cloth-lined, 5 by zo inches. 
Z2 envelopes, addressed for Topography. 

6 envelopes, white, extra letter size, 4^^ by xoH inch. 
35 envelopes, standard letter size, 3H by 8H inch. 

6 envelopes, manila, 9 by 12I4 inch. 

X ink, fountain pen, wood case. 

z paste, tube. 
ZO pencils, Dixon's No. 4. 

4 pencil tips, metal and rubber. 



REQUISITIONS. 197 

z rubber bands, box. 

5 tass, linen, penalty or plain, 
zo tags, linen, express shipznent. 

3 tags, instruznent repair. 

6 voucher, pay, g-ozja. 

6 voucher, party pay and subsistence, 9-015. 
z5 voucher, purchase, 9-oza. 

3 voucher, subvoucher book, 9-0Z7 (a additional for camping parties). 
6 voucher, traveling expezise, with detached memorandum, 9-016. 

Topographic party (i topographer). 

z accotmt book, 60-page, 9-9Z8. 
zo address, notification of, 9-966. 
za bill of ladizig, 9-060. 
z5 employment contract, sroo9. 

6 employees, temporary, report of, to Civil Service Coztmiission. 9*946. 

6 employment, field, application for, 9-93 z. 
zo freight or express shipment, label for, 9-948* 

a instruments, transfer of, 9-Z39. 

a leave of absence, z-034. 
zo znail forwarding card, postmaster, 9-977. 
zo zziail, second class, label for, 9-Z60. 
zo postal cards, plain. 

4 property, inventory of, 9-054. 

24 proposal for general supplies, livery, etc., 9-005. 

a requisition, instruments, 9-445. 

6 requisition, stationery, 9r-ooa. 
za topographic party, monthly report, 9-908. 

8 traverse party, weekly report, 9-923. 

6 envelopes, blue, cloth-lined, 5 by zo inch. 
a5 envelopes, addressed for Topography. 

6 envelopes, white, extra letter size 4H by zoH inch . 
a5 envelopes, standard letter size, zH by 2,H inch. 

6 envelopes, manila, 9 by zaK inch. 

z izik, fountain pen, wood case. 

z paste, tube. 

3 pencil tips, metal and rubber. 

z pizis, pyramid. 

z rubber bands, box. 

a Ruby erasers. 

z sandpaper pencil pointer, 
za tags, linen, express shipznent. 

6 tags, instrument repair. 

a vertical-angle traverse record, 9-913. 



198 INSTRUCTIONS TO TOPOGRAPHERS. 

3 voucher, pay, 9-oi.ia. 

3 voucher, party pay and subsistence, 9-015. 
I a voucher, purchase. 9-013. 

I voucher, subvoudier book, groi-j (3 additional for camping party).. 

4 voucher, traveling expense, with detached memorandum, 9-^16. 

The following articles are usually required in camping parties only : 

Additional outfit for camping parties only. 

Auction sale, advertlseflnent, 9-051. 

Auction sale, report of, 9-040. 

Pasturage public animals, proposal, acceptance, and receipt, 9-008. 

Property affidavit, 9-048. 

Property, abandoned or lost, certificate for, 9-974. 

Property, inspection report ol, 9-047. 

Proposal for rations and forage, 9-006. 

Proposal for supplies, field, 9-947C' 

Storage public property, proposal, acceptance, and receipt, 9-007. 

The following articles may also be had on requisition, if not already 
supplied : 

Additional outfit for all parties. 

Topographic Instructions. 

Regulations of Geological Survey. 

Telegram book, carbon duplicating, 9-431. 

Blotting-paper sheets. 

Clips, Gem, Mogul, etc. 

Fasteners, paper, McGill, O. K. 

Letter file. Favorite. 

Paper, carbon copy books, official. 

Paper, ruled, 8 by loK inch. 

Paper, scratch, note size. 

Paper, carbon sheets. 

Pencils, Kohinoor, 6-H, 7-H, 8-H, 9-H. 

Pencils, red, blue. 

Sealing wax. 

Tacks, thumb. 

Tracing linen, lo-yard rolls. 

Tracing paper, thin sheets. 

Water colors, burnt sienna, Prussian blue. 

Paper, manila covers, 18 by 34 inch or 34 by 31 inch. 



RE^^UISITIONS. 199 

The following articles should be on requisitions separate from those 
for other stationery: 

Articles for which separate refuisiiiens are required. 

Solar transit tables. 

Stadia tables, new or old style. 

Stadia tables. Anderson's. 

Wheel tables. 

Vertical-angle tables. 

Geographic tables and formulas, Gannett. 

Logarithms, 7-place. 

Natural sines and cosines. 

Nautical almanacs. 

Tracing paper, 30-yard rolls, thick. 

The following are miscellaneotis articles that may be had on requi- 
sition when required: 

Miscellaneous siationery. 

Account book, 140-page, 9-9i9> 

Primary traverse computation notebook, 9-931. 

Transit record. 9-905. 

Envelopes, note size, 3M by 6 inches. 

Envelopes, return-penalty, 3H by 8H inches. 

Penholders, drawing, writing. 

Pens, drawing, K. & E.. Gillott's, 390, 291, 303. 

Pens, writing, stub, falcon, etc. 

Ink, indelible, black, red, green. 

Water colors, saucers, and brushes. 

INSTRUMENTS. 

Requisitions for instruments for mdiiridtial field men of the classes 
named below should be on form 9-445 only: 

Plane-table triangulator, 

I aUdade, 25-inch telescopic. 

I compass, 4-inch. 

I compass, declination. 

I glasses, field. 

I level, circular. 

I plane-table board, 34 by 31 inches. 

3 scale, triangular, metal, projection. 



INSTRUCTIONS TO TOPOGRAPHBRS. 

I tape, (ted, s»toat. 
I tripod, Johun. 
I lunbrdte, menu. 

Tapt travtrtetatm. 

I aUdsde, naht, BuAland. 

I compug, ^4adi. 
1 omtMM, poAet. 

ilevcL drcular. 

■ kvd,Lod[c 

I pluic-tabk boud, 9 by g iadia. wltli compua. 

I pkiifrtibleboaid. i; by II iochct. itith compus. 

I tiipod, (nroM. 

Foot travtrt^ian. 
I Blldwle. tlfht. 

I plui^tAble booid. 15 by ij inches, iriUt compAss. 



Wheel tTaverieimm, 
dt, nght, Biufcknd. 



I tripod, tiavcnc 

Stadia travtrtmaan. 



I ptuic-Uibk board, ij by i] indici. 
le board, \t by 14 Inche. 
r. ceOulMd. 



REQUISITIONS. 20I 

Topographer. 



I alidade, sight, Burkland. 

z aneroid. 

z compass, 4-inch. 

X compass, declination. 

X counter, hand. 

I glasses, field. 

I level, circular. 

X level. Locke. 

z plane-table board, 9 by 9 indies, with compass. 

X plane-table board, 15 by 15 inches, with compass. 

z plane-table board, z8 by 94 indies. 

X plane-table board. 34 by 31 inches. 

z protractor, celluloid. 

z rod, stadia. 

z scale, triangular, metal, projection. 

z tape, zoo-foot, steel. 

z tripod. Johnson. 

z tripod, traverse. 

z umbrella, wagon. 



Precise leveltnan. 



Dies, figures, z set. 
Dies, letters, z set. 
z level, Locke, 
z level, prism, 
a pins, turning. 
3 rods, precise, 
z tape, steel, 35 foot. 



Primary leveltnan. 



Dies, figures, z set. 
Dies, letters, z set. 
z levd. plumbing, 
z level, Y, so-inch. 
3 pins, turning, 
z rod. New York, 
z tape, 50 foot, metallic, 
z tape, 35 foot, steel. 

Secondary leveltnan, 

X glass, fidd. 

1 levd, Z5 indi. 

I rod, Philaddphia. 

z tape, metallic, 50 foot. 



202 INSTRUCTIONS TO TOPOGRAPHl^RS. 

Tri€n§ui9tar. 

1 aneroid. 

2 compasses, prismatic. 
I glass, field. 

I lamp, electric, hand. 
I plumb bob. 
I protractor, celluloid. 
I tape, steel, 6 foot. 
I tape, steel, 35 foot. 
I theodolite. 

1 umbrella, wagon. 

Primary traverseman, 

3 counters, hand. 
Dies, figures, i set. 
Dies, letters, i set. 
z glass, field. 

2 lamps, electric, hand, 
lerel, plumbing, stadia. 

II pins, tally. 
2 plumb bobs. 
2 rods, range. 
I rod, stadia. 

1 tape, icx) foot, steel. 

2 tapes, 300 foot, steel. 
I tape stretcher. 

I tape repair outfit. 
I transit, 30 second. 

FOUNTAIN PENS. 

One fountain pen only will be issued to each emplayee wjbo holds 
a Secretary's appointment, the item to be the only one on a copy of 
Form 9-002, which must be approved by the division chief. The 
recorder, as well as the chief of each precise-level party, must be sup- 
plied with a foimtain pen. 

MISCELLANEOUS ARTICLES. 

The following articles may be secured on Form 9-002 or 9-445, 
whichever may be more convenient: 

Bags, book, large or small. 

Batteries, for flash lamps, round or flat. 

Bench marks, copper nails with washers.^ 

Bench-mark posts.^ 

Bench-mark tablets.^ 



f 



' Bstimatc number reQuired for each locality and order accordingly. Por coopcct* 
tive work give the State name. 



REQUISITIONS. 203 

Canteens, 2 quart. 

Celluloid sheets, opaque or transparent, 15 by 15, or 18 by 24 inches. 

Cement, cans.* 

Drills, i><-mch bit. 

Flags (for camping parties only). 

Hammers. 

Hatchets. 

Keel, red or blue. 

Level bubbles (specify size wanted). 

Paint cans, with brushes. 

Paper, double-mounted, 18 by 24 or 24 by 31 inches. 

Paper, single-moimted, 9 by 9, 15 by 15, or 18 by 24 inches. 

Paper, tracing, 20-yard rolls or less. 

Post-hole diggers. 

Scales, flat boxwood, 1:240,000, 1:125,000, 1:96,000, 1:62,500, 1:48,000, 1:31,680, 
1:24,000; inches, tenths, and fiftieths; inches, tenths.and eightieths; also 
1:48,000 for chains. (Either of these may be made into Burkland sight alidades 
on request.) 

1 Estimate number required for each locality and order accordingly. 



INDEX 



A. 

Page. 

Abbreviations, authorized forms of aaS 

Adjustments of instrimients, general rules for 30-32 

See also Particular instruments. 

Afternoon, observing in 49, 50-51 

Agricultural data, mapping of 151-154 

patterns and symbols for, figures showing 151, 152, 153 

Alidade, adjustment of 32, iia 

micrometer eyepiece for Z2Z-Z29 

Aneroids, care of 24, 124-125 

range of 24 

use of 124 

Angle equations, tabulation of 62-63 

Angles, reading of 52, 78 

tabulation of > 56-57 

Appointment, application for 14 

Aqueducts, mapping of 13^ 

Arable land, mapping of X53 

patterns and symbols for, figure showing 152 

Arcs, cleaning of 27 

Atlas sheets, approval of 171 

borders of 132-133, 177 

lettering on 167-168 

data regarding 131 

features to be shown on 131 

identification of 133 

inspection of 171 

lettering on 166-168, 171 

names on 133-135 

preparation of, for engraving 159-168 

See also Engraving. 

proof reading of 171, 172-174 

Author diagram, use of 168 

Azimuth, computation of 58-60, 82-83 

correction of 84 

observations for 54-56, 78-80 

66512 — 13 14 aa.% 



230 « INDEX. 

®- Page. 

Baggatie. personal. limitation of , 18 

Baldwin solar chart, errors in use of 129 

explanation of 125 

orientation by 125. 128-129 

plate showing 126 

preparation of, for use 126-128 

time correction from 130 

Barren land, mapping of , 153 

Bars, representation of 144 

Base line, measurement of ^ 4a 

measurement of, correction of, figure showing 122 

Base lines and meridians, land-siuvey system of 183-185 

Beaman stadia arc, use of 1 19-1 20 

Bearing trees, use of 192 

Bench marks, description of 8i, 90-91 

location of 75. 88-89 

mapping of 143-144, 161-162 

representation of, conventional sign for .^ 211 

Bench-mark posts and tablets, supply of 27 

types of 75 

for cooperative work 27 

plate showing 46 

Blazing lines, method of X89 

Bluffs, inking of 164 

Borders of atlas sheets, joining of i32"i33. 171 

lettering on 167-168 

Botmdaries, lettering at 166-167 

mapping of 141-142, x6o-i6x 

representation of, conventional signs for 211 

Bridges, mapping of 138, 162 

Bruises, treatment of 177-17S 

Bubbles, prism level, adjustment of 97-98 

setting of 30 

specifications for 25 

Buildings, mapping of 137-138. 160 

Bums, treatment of 175 

C. 

Camp, administration of i6-iS 

equipage for X8-19, 193 

storage of , 19-30 

subsistence in 15-16 

Camping parties, stationery for 198^199 

Canal locks, location of symbol for 139 

Canals, mapping of X39> 160 



INDEX^ 231 

Page. 

Cemeteries, mapping of 140 

Chainmen, duties of 76, 123-124 

Chief of party, reports by 21-23 

Churches, when shown 137-138 

ClifTs, inking of 164 

Closure error, adjustment of, in level circuits 92, 95, 1 11 

adjustment of, in primary traverse 84, 87 

distribution of, among angles 56 

Coke ovens, when shown 141 

Compass, care of 28^ 

Computers, suggestions to 39-41 

Contour figures, placing of ..... .* 165-166 

Contour interval, range of 131 . 155-156 

Contours, use of 146-148, 164-165 

See also Depressions. 

Conventional signs 205-228 

Cooperation, with other bureaus ii-ia 

with States 12, 89, 168 

Comers, land, identification of 142-143, 151, 157 

marking of i89-i9a 

Comers, witness, use of zga 

Correlates, table of 65 

Courtesy, enjoinment of ., 12 

Criticism . rules concerning 11 

Cross wires, motmting cf 30-3a 

Cultural features, lettering of 166 

mapping of ^ 135-144, 160-161 

names of , . . 133-135 

representation of, conventional signs for i6o-i6i, 207-210 

Cuts and fills, land, symbol for 140 

Cuts, treatment of ^. 177 

D. 

Dams, representation of 139 

Dam sites, mapping of 156-157 

Death, tests for 177 

Departures in primary traverse, computation of 84-85 

Depressions, mapping of 164-165 

Discipline in camp, rules for 16-1 7 

Distances, computation of 7o-7t 

determination of 93, 1 17-124 

See a/.ro Stadia traverse; Wheel traverse; Tape traverse; Foot traverse. 

Ditches, mapping of 139- *6o 

Drainage. See Hydrographic features. 

Drowning, aid in case of , i "v\*r'^'v^ 



232 INDEX. 

E. Page. 

Editing, regulations for 172, 174 

Elevution figures, inking of i6a 

Elevations, establishment of 89-90, X1&-119 

See also Bench marks. 

Emergency, first aid in 175-177 

Employment contracts, terms of .' 14 

Engraving, preparation of field sheets for 159-168 

transmission for 172 

See also Inking; Cultural features; Hydrographic features; Topographic 
features; Lettering; etc. 

Equations, triangulation, adjustment of 62-70 

Equipage, care of 18-19 

loss of 19 

purchase of, in field 19 

storage of '. 19-20 

See also Triangulation; Traverse; etc. 

Express, transportation by 29 

Eyepiece, micrometer, description of X2i-i2a 

F. 

Ferries, mapping of 138 

Field employees, appointment of 14 

grades of 14 

insurance for 15 

traveling expenses of 14 

Field parties, organization and management of 14-22 

personnel and outfit of 43-44» 74 

reports from 21 

Field reports, scope of ai-22 

Field sheets, engraving of. See Engraving. 

identification of 133 

Field work, for map construction 131-159 

preparation for 131-133 

Figures, triangulation, adjustment of 6o-6z 

adjustment of, figure for 60 

desirable groups of 45 

tabulation of triangles for 60 

Fills, symbol for 140 

First aid, rules for 175-177 

Flags, display of x6 

Flesh -wounds, treatment of 177 

Foot traverse, instrimients for aoo 

method of 124 

Fords, mapping of 139 

Forest land, mapping of 259, Z7x, 171 

^Tus and symbols for, figure showing 151 



INDEX. 233 

Page. 

Form lines, use of 14B 

Fotintain pens, issuing of 20a 

Fractures, treatment of 178 

Freight, transportation by 29 

Frost bite, treatment of 175 

Furnaces, location of 141 

G. 

Geodetic coordinates, computation of 71-73 

Glaciers, mapping of 146 

Grazing land, mapping of 153 

patterns and symbols for, figure showing 153 

Grooves, system of, on land survey corners 190-191 

H. 

Heliotrope, use of 49 

Horizon, closing of, at triangulation stations 56 

Hydrographic features, lettering of 167 

mapping of 144-146, 16^-163 

representation of, conventional signs for 162-163; 212, 2x9 

Hygiene, laws of, adherence to, in camp 17 

I. 

Information, giving of 12, 13 

Injury, first aid in case of 175-178 

transportation in case of 178 

Inking, conventions and symbols shown by 160 

directions for 159-164 

sequence of 159 

Inks, list of 159 

Instruments, accessory articles for 26-27 

adjustment of 30~39» SO 

See also Particular instruments. 

care of ^ . . 37-29 

cleaning of 27 

delivery and return of , . . 2a 

packing of 28-29 

protection of, against weather 28, 50 

responsibility for 22 

requisitions for 199-202 

specifications for 24-25 

transfer of 2a 

types of 23-24 

transportation of 28-29 

Insurance, provision for ^^ 



234 INDEX. 

Page. 

Intermittent streams, mapping erf ^^^^ x6a 

Inventories, when required ao 

Invoices, essential information in 22 

L. 

Lakes, mapping of 146 

Land-classification board, data desired by i4Srx5i 

transmission to i-a 

Land-classification data, mapping of 149-159, 171, 172 

See also Agricultural data; Water-supply data. 

representation of, conventional signs for 151-154, 215-217 

Land comers, mapping of 142-143, 151, 157 

marking of 189-192 

Land lines, mapping of 157 

Land-Office plats, use of 132, 1^7 

Latitudes, computation of 7 1—72, 84-86 

Least-square adjustment, figure for 60 

method of 62-70 

Lenses, care of 27 

Lettering, position of 166-167 

punctuation of ^ 167 

rules for 166, 171 

style of 167, 226-228 

Levees, representation of 140 

Level circuits, computation and adjustment of ^. . io6-iii 

orthometric correction for 106 

See also Leveling, precise; Leveling, primary. 

Leveling, precise, adjustment of 106-107 

instruments for '. 201 

observations in loo-ioi 

recording in loi-ios 

stationery for 192-193, 198-199 

Leveling, primar>', adjustment of 107-111 

adjustment of, figure showing 109 

distribution of 87-88 

instruments for • 201 

stationer>' for 193-ISW, 198, 199 

See also Bench marks; Elevations; Wye level; Prism level. 

Leveling, secondary, instruments for 201 

stationery for 194-195. 198-199 

Level net, adjustment of 107-111 

figure showing 109 

Lighthouses, representation of J40 

Locke level, adjustment of 34» 95 

Longitude, computation of 71-72,85-86 



INDEX. 235 

M. Page. 

Mad-dog bite, treatment of 176 

Magnetic declination, measurement of 80 

Mail, transportation by 39 

Manuscript, transmission of, rules for 173 

Map construction, field work of 131-159 

field work of. See also Names; Cultural features; Hydrographic features; 
Topographic features; Land-classification data. 

office work of 159-174 

See also Engraving; Photolithography; Editing; etc. 

Marches for pack train, length of 182 

Marginal lettering, rules for 167-168 

Marks. See Stations; Bench marks. 

Marshall, R. B., preface by 9 

Marshes, mapping of ^ 144, 146 

Meanders on land surveys 188-189 

Medical attention, data on 175-177 

outfit for, in field 178-180 

Meridians and base lines, public land surveys . . .^ 183-185 

Military symbols, conventional forms of 224-325 

Mine dumps, representation of 140 

Mineral lands, reports on 150 

Mines, representation of 140-141 

Monuments, boundary, location of 141, i43' 161 

Mounds, at land-survey corners 191-193 

N. 

Names, authority for ^ 134 

choice of 134-135 

lettering of 166-168 

♦Navigation, aids for, conventional signs for 233-333 

Notches, system of, at section comers 190-191 

O. 

Observing, hours for angle reading 49 

hours for leveling 93 

method of 50-51.76-80,113-115 

preparation for 49-SO 

Orientation of plane-table, method of ii?- 125> 128-129 

method of, plate showing , 126 

Sec also Baldwin solar chart. 

Owners, consent of 1 2-13., 46 

P. 

Packing instruments, care in 18-19 

Pack animals, care of 183 

forage f or . . » "^^ 



236 INDEX. 

Page. 

Pack train, carrying capacity of 181-181 

equipment of i8o-i8x 

organization of iji 

speed of igj 

transportation by 28-29, 180-18: 

Paper, quality of !„, ug 

Parcel post, use of 29 

Pasturing, rules governing 1^20 

Personnel of field parties , 14-15,43-44, 74.9194 

See also Triangulation; Traverse; etc. 

Photolithography, preparation for 169-170. 1:2 

Pipes, oil and water, mapping of ij5 

Pits at land-survey corners 191-193 

Plane-table, orientation of 116. 117, 125, 198-129 

Plane-table boards, packing of j3 

sizes of 2^ 

Plane-table traverse, general methods of zz6-ii6 

See also Stadia traverse; Wheel traverse; Tape traverse; Foot traverse. 

Poisoning, antidotes for 2^5_j.^ 

Plane-table triangulation: 

general instructions for 112-113 

instruments for 199-200 

observing and recording for 113-X15 

stations for, choice of X13 

Polaris, observations on 54-55, 78-79, 8a 

Ponds, mapping of 146 

Precise leveling. See Leveling, precise. 

Press, information to 13 

Primary control, establishment of 42-111 

general methods of 42-43 

See also Triangulation; Traverse; Leveling. 
Primary leveling. See Leveling, primary. 
Primary traverse. See Traverse, primary. 

Prismatic eyepieces, supply of 24 

Prism level, adjustment of 96-9S 

care of 98 

precise leveling with 100-105 

primary leveling with 94-100 

limit of error in 95, xoo 

I>ersonnel and outfit for 94-95 

record of observations with 99, 104-Z05 

Private property, entry on 12-13, 46 

Projection, method of xi2, 131, 132 

Proofreading, instructions for ^71, 172-174 



INDEX. 237 

Page. 

Public, relations of topographers to 23-13 

Public land lines, mapping of i43'Z43, z6z 

Public land siu^eys, system of i83-x9a 

Public property. See Equipage. 

Purchase of property, regulations governing 19 

Q. 

Quadrangles, nature of 131 

Quarries, representation of 140 

R. 

Railroad crossings, representation of *^ 

Railroads, mapping of i*7» *38 

Range number, placing of , ^. *6x 

Rations, list of 1S-16 

Reconnaissance, data required in 44""4S 

Record forms, field, for azimuth observation SSf 78~79 

for plane-table "3 

for precise leveling 99i 101-105 

for primary leveling 94 

for primary traverse 8o-8i 

for triangulation Si~S3 

Reports, requirement of ai-aa 

Requisitions, rules for 192-203 

Reservoir sites, mapping of i56~iS7 

Reservoirs, mapping of 139 

River profiles, delineation of 170 

Rivers, mapping of 144-145, i54"IS7j 162-163 

topography along, mapping of i5S~xs6 

River surveys, maps and reports of iS4-iS7 

preparation of, for photolithography 169-170 

scale of X54~*5S 

Roads, classification of 136-137 

representation of 136, x6o 

Rod level, adjustment of 34 

Rupture, treatment of 178 

S. 

Scaffolds, erection of, at triangulation station 48 

Scalds, treatment of 175 

Scale of maps, position of 168 

varieties of 131 

Secondary control, establishment of 1x2-130 

5e« o/^o Plane-table triangulation; Plane-table traverse; Aneroid; Baldwin 
solar chart. 



338 INDEX. 

Page. 
Secondary leveling. See Leveling, secondary. 
Section comers. See Corners. 

Section numbers, use of 161 

Section lines, description of 187-188 

Shore line, definition of 144 

Sickness, principal causes erf 17 

Sights, length of, on level lines 93, 99 

Signals, centering of 48-49 

location and construction of 47-48, 113 

Sine equations, table of 64 

Sinks, mapping of 146 

Slopes, inking of ^ 164 

Smelters, location of 141 

Snake bite, treatment of 176 

Solar chart. See Baldwin solar chart. 

Spherical excess, computation of 61-62 

Sprains, treatment of 178 

Springs, importance of 145-146 

data required concerning 154 

Stadia arc, use of 1 19-121 

Stadia rods, specifications for 25 

Stadia traverse, instruments for 122-123, aco 

methods of 118-123 

State surveys, relations of topographers to 12 

Stationery, requisitions for 192-199 

Stations, establishment of 44. 113 

location of, by three-point method 115-116 

figure showing 116 

marks for 46-47 

plate showing 46 

names for 45, 114 

necessary number of 44 

symbol for 143 

See also Bench marks. 

Stations, eccentric, reduction of, to center 57-58 

Steamboat routes, mapping of 139 

Stock, forage for 16 

Storage of property, rules governing 19-20 

Stream flow, reports on 157-158 

Streams, mapping of 117 

See also Rivers. 

Subsistence, supplies for 15-16 

Surgical aid, outfit for , 178^180 

rules for » 175-178 

Sunstroke, treatment of 175 



INDEX. 239 

T. Page. 

Tanks, location of Z46 

Tapes, cleaning c^ 27 

cloth, marking of 123 

use of 76-78 

Tape traverse, instruments for 300 

making of 123-124 

Taping, chainmen for, duties of 76 

errors in 77 

method of 77 

Telescope lenses, cleaning of 27 

Telescopic alidade, adjustment of 32 

Theodolite, adjustment of 36-39 

Three-point method, description of 115-116 

figure showing , 116 

Timber cutting, owner's consent to 46 

Topographic branch, organization of 71 

relations of, to Government 11-12 

to public ^ 12-13 

to State surveys 12 

Topographic expression, importance of 148-149 

Topographic features, lettering of 166 

mapping of 146-149, 164-166 

representation of, conventional signs for 164-166, 213 

Topographic maps. See Atlas sheets; Engraving; etc. 

Tbpographic field party, instruments for 201 

stationery for 197-199 

Topography, sketching of ii4» n7-"8, 147-149 

Township numbers, placing of i6z 

-Townships, exteriors of, running of 185-186 

section lines, running of 187-188 

system of 183 

Trails, mapping of 139 

Transit, adjustment of 34-36 

Transmission of manuscript, rules for 172 

Transportation of instruments, rules for 28-29 

of persons, expense of X4 

of property, care in 18-19 

See also Pack train. 

Traveling expenses, rules governing 14 

Traverse, plane-table. See Plane-table traverse. 

Traverse, primary, azimuth for 78-80 

azimuth for, computation of 82-84 

computations for 82-87 

general methods <rf 421 7S-7& 

instruments for *«''>• 



240 INDEX. 

Page, 

Traverse, primary, outfit for 74 

preparation for 75-76 

recording for 80-82 

stationery for , 196-197, 19^-199 

Traverse boards, attachments for 24 

Triangles, tabulation of 6oh5i 

See also Figures. 

Triangulation, azimuth observation for 54-56 

computation of 56-74 

in field ^4 

distances in, computation of 70-71 

equations for, adjustment of 62-74 

field work of 43-56 

figures desirable for 45 

general methods of 42 

instruments for 202 

observing methods for 49-54 

outfit for 43-44 

plot of 54 

preparation for 44-49 

reconnaissance for 44-45 

recording for 51-54 

signals for 47-48 

spherical excess in 61-62 

stationery for 195-196, 198-199 

stations for 44. 46 

conventional sign for 143, an 

Triangulation, plane-table. See Plane-table triangulation. 

Triangulation parties, personnel of 43 

Triangulation systems, connection of, with determined positions 42-43 

Tunnels, representation of 139 

Typhoid fever, prevention of ;• 17-18 

V. 

Venomous insects' stings, treatment of 176 

Verniers, cleaning of j • 

Visitors in camp, rules governing i3 

W. 

Waste land, mapping of 153 

Watch, error of 55»8o, 129 

Water elevations, mapping of 162 

Watering places, mapping of 154 

See also Wells; Springs; etc. 



INDEX. 241 

Page. 

Water-power data, mapping of * 158-159 

reports on 150, i5»-xs9 

Water-supply data, mapping of 154-159 

reports on 150, 155, 157-159 

Weather, protection of instruments against 28 

Wells, location of 140, 146 

reports on 154 

Wharves, representation of 140 

Wheel traverse, instruments for aoo 

method of laj 

Witness comers, land surveys, use of 19a 

Woodland sheets. See Forest land. 

Wye level, adjustment of 32-34 

leveling with 91-94 

adjustment of 9a-93 

limit of error in 9a 

personnel and outfit for 91-93 

records of 94 

rod for, reading of 93 

Y. 

Yard rod, care of 98 

graduation of 95 

reading of 95-96 

testing of 98 

Y level. See Wye level. 



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