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a ~67E69—Package of four-strand wash ~fast Rayon Floss to ‘on ate. adap any one of the above numbers, —-we pay Sita 38¢ Ed Rayon F(pe

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te El ‘s 65 _All-Silk Washable Radium. About 36 inches wide. For dresses, 4 slips, etc. | ) | i Each of the above materials comes in the following COLORS: passiZg flower, Castilian red, English violet, Pandora green, sunburn tan, Byrd blue, Spa wine, spun gold, cactus rose, Jeanne d Arce blue, Hawaiian brown, jade green, go¥ ee poppy, tan, Imperial blue, French beige, rose petal, marron glace, Zeppelin ghaae claret wine, Copen blue or navy blue (all illustrated on opposite page); also fe sig

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¢| “gees Order by style number for material and state color desired. | (as OUR PRICE, Each; A yard, 94, sewives | —and we pay postage. ¢

So aes

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| JUST FOLKS a)

= By EDGAR A. GUEST THE PRIZES. said an old-time champion to me, as | he showed me many a prize, Which he had won in his earlier days: “Are they dazzling to your eyes? | You think them precious to hold and keep, but the fire I would| throw them in he | Could I only be the boy once more | with his first prize yet to win.

“These are trophies of victory, andf time was I thought them sweet. But I’d rather be out there playing

| now and facing again defeat Than sitting here in an idler’s chair with my prizes round me lined, With nothing to dread, and no+ ning to risk, and nothing to stir my

mind.

“Oh, the game is more than its prize, my bey, aS soon you will come to Know,

the joy of the race is in running it, and not in the thing to show. |

I’ve cups and medals enough to spare, but I’d give them all to claim

The thrill of the youngsters strug- § gling there who haven’s yet won a game.

“Nowe I’m settled down and watch them go to the fields to lose or win,

With eyes agleazn and with hearts on | fire they’ll battle through thick | and thin, :

And I’d rather be those who will lose | today, and tomorrow will try | anew, |

For they still have the joy of the | game, while I am left with a prize or two.” :

bonuses and stock pr

many of the Company s

were entirely eliminated be 6.60 per cent.

A net profit of $13,07 from the redemption or s

The surplus earned dt on the values entere¢ amounted to $42,863,5 sum substantial approp been made to further st of the Company.

An additional $10,000 ducted from the market ties as a provision agai

a a: Tey , wi = te sae ii oh f + 4s o yh righ J

y , or li, in our he tested

ho was found sioner of Edu- 4 remediable eve > costing $150,000.

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Avork is ‘needed every-

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x "

igration Ban o Be Relaxed zood— i

jer in California itrictions on im- amoval of them, | It recites what { contends that would be the

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Truths con- 3 a world by ‘When Pilate mason to sup-

|} apparently b which my on. Those

(tal to Help ied the lex- ronger)| by art of ithe

The Spectator

“We know ourselves so little that many think they are about to die when they are really in good health, and many think they are well when, in fact, they are on the brink of death.”

That is not quite so true today as it was when Pascal penned it. three centuries ago.

Popular education and readable books on physi- ology have helped. The popular rules of health are based less on superstition and more on science than was the case a hundred ‘years ago.

Still, the body we live with from infancy to old age is largely a stranger to Us.

Just for a test, try yourself on these 20 facts about your body. How many do you know?

They are noted from. the first 200 pages of Dorsey’s. popular book, “Why Behave Like Hu- mans?”

1. One-fourth. of all. our muscles are in our neck and face. |

2. If one-third of our skin is destroyed by fire, acid or other accident, we die.

3. We have 32 teeth; eight on each side of each jaw; that is, two incisors, one canine, two bicuspids, and three molars.

4. A man 150 pounds in weight would weigh 50 pounds if he were thoroughly dried out.- Our blood is 90) per cent water. Our bones are nearly half, water. Conscious brains are 85 per cent water.

5. To balance our head on our spine, we use 20 muscles. To balance our spine when walking we use 144,

6. In walking, each leg rests: half the time. We tire standing because neither leg gets rested.

7. With every step we take about 300 muscles are used.

8. Our body temperature is regulated and re- mains constant at 99 degrees.

LADY ISABEL AND THE THIRD PARTY, | By S. E, Kiser-—-——__-———

WH Lady Isabel possessed proud: patrician air, Although the clothes in which she dressea

Were hardiy more than fair,

: JITHIN her gray ancestral: halls The scene was seldom gay; The beams that rested on the walls

Were ‘weak- em aren ve SMU, 4) iy

HE. old. ear

A wasn’t feeling | well, The words he

spoke were Bad,

‘But proudly Lady Isabel

Addressed her titled dad,

“BPE not downcast, old dear,” said she, “The outlook’s not so worse;

Good luck’s instore for you and mg, Despite your empty purse, °

Registered 3 2

Cy Y ot Oki | Office |

9, We average about one squal®y surface and about 90 square yards face.

10. Normally we take one breath four heart beats. i } di. If you stay quietly in bed you sa® heart 20,000 beats a day.

12. A 160-pound man has about eight po’ or four quarts of blood. He can lose up to o and-a-half quarts at a time and recover.

13. Your heart beats 40,000,000 times a year"

Tt drives the blood through the arteries.at the

average rate of 30 feet a second. When you sit quiet it pumps about five pints of blood a min- tte. When you run uphill it pumps seven times as much, or 35 pints, Ncgrnan

14, The motor mechanism with which we walk weighs about 80 pounds, . Sixty is muscle and 20 bones.

15. A man can sweat as much as 10 pints in a day.

16. It is impossible to commit suicide by hold- ing the breath, because as soon as conscious- ness is lost breathing automatically begins again.

17, About 50 per cent of our body is carbon.

18. The average muscle is 25 per cent efficient. The trained muscle is only 40 per cent efficient.

19. We have 2,000,000 tiny pores or sweat glands. There are 500 to the square inch on most of our body, and 2,000 to the square inch in the palms of our hands and the soles of our feet.

20, Just to keep the heart beating, the lungs functioning and the body at the right tempera- ture requires 1,700 calories a day—enough energy to lift 200 tons a foot.

(Copyright, 1927° New York American, Inc.)

‘HAN POETRY

“MMOMORROW: Prince Gazooks arrives To ask you for my hand;

il be the second of his wives, The first one he has canned.

“AND he will find a:way, I know, & To save our proud estate; A. fortune teHer told me so,

And said, as happily he smiled: “I’m feeling better now.”

B™. Prince Gazooks came nj

| Gal’s heart is like to big

A movie queen. from Holl. Got to his highness °

pot Se opportunity will makes

"man, but he can't always

hold the jq

RTA NRE ee er ere ST,

barre

pany (PIN ey girl 1s

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OU

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OR CO,, Tine.

Lin shape.

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PAINTED}.

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22 TUDOR SEDAN Pert oon tires. Fully equipped; will

195.

sacrifice.

“ESSEX COACH,

The motor is smooth and economical. and looks lke new.

1926

Just out of the paint Fully equipped. Only $425,

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L924 Maxwell Touring...icreces 1924 Word Touring......

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ouring (in

Po paint shop) “ee sp teherwmeeoeane 1924 Chevrolet Poadster (in paint

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1925 Hudson Coach

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octHudson Coach, ri for akg Coach, Chevrolet ie

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2 ANE NT OR ON mem Ea SR Wea ST a en re abe THe A #

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Light Six Studebaker Dodg re “Collesiate’’ Ford Tudor seta a gla peta Overland 6" Con pe ee ee abi a8 meu Urine

Ali

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KEITH’S RAILROAD CURVE TABLES.

Published by KEUFFEL & ESSER CO., New York.

_. Entered according to Act of Congress in the year 1883, by W. Keuffel &.H. Esser, in the office of the Librarian of Congress, Se in Washington, D. C.

Copyright, 1902, by Keuffel & Esser Co.

5 ws

>

HOW TO USE KEITH’S TABLES.

EXAMPLE,

Wanted a Curve with an Ext. of about 12 ft. Angle of Intersection or I, P.=23° 20’ to the R. at Station 542 +72. ,

Ext. in Tab. IV opposite 23° 20’ = 120.87 120.87 +12=10.07. Say a 10° Curve.

Tan. in Tab. IV opp. 23° 20’ = 1183.1 1183.1 +10 =118.31.

Tab. V correction for A. 23° 20’ for a 10° Cur. =0.16 118.31 +-0.16 = 118.47 =corrected Tangent.

(If corrected Ext. is required find in same way) Ang. 23° 20’ =23.33° +10 =2.3333 =L. C. 2° 193’ =def. for sta. 5042 | I. P.=sta. 542 +-72 4° 493/= “ +50; Tan, = 1.18.47 0-76 “ «“ jt ie eee ce a. a eae 541 -+53.53 11° 40’= « « 5434 |b. C= 2.33.33 Bees: 86.86 |! E. C.=Sta. 543 -+86.86 ~ 100—53.53 = 46.47 x3’ (def. for 1 ft. of 10° Cur.) = 139.41’ = 2 2° 193” =def. for sta. 542. Def. for 50 ft. =2° 30’ for a 10° Curve. Def. for 36.86 ft. =1° 502’ for a 10° Curve.

(These tables are published in Field Books of -Keurre, & Esser Co., New York, N. Y.)

10° Curve

TABLE IV. — Tangents and Externals to a 1° Curve.

Tangent [pxterna Angle Tangent|External

Tasin I. — Minutes in Decimals of a Degree.

~

11’ | .1833 | 12 | .2000 13 . 2167 14 2333 15 - 2500 16 - 2667 17 . 2833 i8

19

20

Se St Km GO DO pat

jonh SSH a2

Taste Il. — Inches in Decimals of a Foot.

3-32 .0078

2 3 4 9) 6 7 8 9 10 11 .1667 | .2500 | .3333 | .4167 | .5000 | .5833 | .6667 | .7500 | .8333 | .9167

| 3-16 5-16

es 8 3 8 4 % .0104 | ad .0260 ee ae on .0625 | .0729

on f bk n NOOR OBNORY EboNao

TABLE HI. — Radi, Ordinates and Deflections.

Deg. | Radius | a 4 . Ghee

CuHs He He G0 GO WNMDNDNN SH Ree eee

C100 OW

—>

0° 10'|34377. .036.| .145 20 |17189. .073 | .291 30 |11459. | .109] .436

8594. .145| .582 6875. 1829-427 5729. 218

4911. .205

4297. 291

3819. ~o2t

3437. 364

lice -400

2864. -436

2644. .473

2455. .509

2292. .545

2148. . 582

2022. .618

1910. .655

1809. 691

1719. 127

1637. . 764

1562. . 800

1495. . 836 3. 1432. 873 3. 1375.4 | ..909

1322. 945

1273. .982

1228. .018

1185. 1146. 1109. 1074. 1042. 1011.

— COOMON NNO Orcer

OOO MOO ONIN N D&O OD OD

WHEONO COHWRE WOONMRO i ee ee Owemwon

eben arlaiens alent

ROAD NTN 9 O10 OBR OOO 9 O19 00 DD BNI OO ESTER STB 0 GI NINN OO 1.00 O

Becolaly -vi bplabapae ce ls ee a eeabals! > Peleg ae

P DHHS SRR eH HHH HEHE HOOOCCOOOOCOOCOCOCOCO } DCO CO OONININIO OOOH OUCT OTE RD IB BR Go 0 Go WO OOO NNN NNNNNNNL

{Senanoannisnanounuoobnonnsousonenunue

COKReb wD

Frangene| Brera Ante 41°

1589.0 216.3 1598.0 218.7 1606.9 221.1 1615.9 223.5 1624.9 226.0 1633.9 228.4 1643.0 230.9 1652.0 233.4 1661.0 235.9 1670.0 | 238.4 1679.1 241.0 1688.1 243.5 1697.2 246.1 1706.3 248.7 1715.3 251.3 1724.4 253.9 1733.5 256.5 1742.6 259.1 1751.7 261.8 1760.8 264.5 1770.0 267.2 1779.1 269.9 1788.2 | 272.6 1797.4 275.3 1806.6 278.1 1815.7 280.8 1824.9 283.6 1834.1 286.4 1843.3 289.2 1852.5 292.0 1861.7 294.9 1870.9 297.7 1880.1 300.6 1889.4 303.5 1898.6 306.4 1907.9 309.3 1917.1 312.2 1926.4 315.2 1935.7 | 318.1 1945.0 321.1 1954.3 324.1 1963.6 327.1 1972.9 330.2 1982.2 333.2 1991.5 336.3 2000.9 339.3 2010.2 342.4 2019.6 345.5 2029.0 | 348.6 2038 . 4 351.8 2047.8 354.9 2057.2 358.1 2066.6 361.3 2076.0 | 364.5 2085. 4 367.7 2094.9 371.0 2104.3 374.2 2113.8 377.5 2123.3 380.8 2132.7 384.1

4 51°

Ibo NTO OOS

O MRNOWN ORDWNID

Om NWONMR HOORNH CONNAR ARANWO OMWAN

~~

— et — ok a Be

65

66

67

68

69

70

TABLE LV. — Tangents and Externals to a 1° Curve.

Angle [Tangent

External | Angle Tangent External | Angle |Tangent |External

8) .2 71° 4086.9 | 1308.2 81° 4893.6 | 1805.3 3 9 10’ | 4099.5 | 1315.6 10’ | 4908.0 | 1814.7 5 .6 20 AVI2Z 1) | 1822.9 20 4922.5 | 1824.1 | 8 <3 30 4124.8 | 1330.3 30 4937.0 | 1833.6 | 1 oe 40 4137.4 | 1337.7 40 4951.5 | 1848.1 4. 9 50 4150.1 | 1345.1 50 4966.1 | 1852.6 | Pd 8 q2 4162.8 | 1352.6 82 .4980.7 | 1862.2 1 .6 10 4175.6 | 1860.1 10 4995.4 | 1871.8 4 =} 20 4188.5 | 1367.6 20 5010.0 | 1881.5 8 4 30 4201.2 | 1875.2 30 5024.8 | 1891.2 ; 3 ab 40 4214.0 | 1382.8 40 5039.5 | 1900.9 ; 7 3 50 4226.8 | 1890.4 50 5054.3 | 1910.7 1 .2 13 4239.7 | 1398.0 83 5069.2 | 1920.5 6 oe 10 4252.6 | 1405.7 10 5084.0 | 1930.4 | me: 20 4265.6 | 1413.5 20 5099.0 | 1940.¢ .6 .3 30 4278.5 | 1421.2 30 5113.9 | 1950.3 ! ay 4 40 4291.5 | 1429.0 40 5128.9 | 1960.2 \ ey 5 50 4304.6 | 1436.8 50 5143.9 | 1970.3 ; a | 1026.6 74 4317.6 | 1444.6 84 5159.0 | 1980.4 i .9 | 1032.8 10 4330.7 | 1452.5 10 5174.1 | 1990.5 .5 | 1039.0 20 4343.8 | 1460.4 20 5189.3 | 2000.6 . .1 | 1045.2 30 4356.9 | 1468.4 30 5204.4 | 2010.8 .8 | 1051.4 40 4370.1 | 1476.4 40 5219.7 | 2021.1 .5 | 1057.7 50 4383.3 | 1484.4 50 5234.9 | 2031.4 \

3650.2 | 1063.9 75 4396.5 | 1492.4 85 5250.3 | 2041.7

3661.9 | 1070.2 10 4409.8 | 1500.5 10 5265.6 | 2052.1

3673.7 | 1076.6 20 4423.1 | 1508.6 20 5281.0 | 2062.5

3685.4 | 1082.9 30 4436.4 | 1516.7 30 5296.4 | 2073.0

3697.2 | 1089.3 40 4449.7 | 1524.9 40 5311.9 | 2083.5

3709.0 | 1095.7 50 4463.1 | 1533.1 50 5327.4 | 2094.1

3720.9 | 1102.2 76 4476.5 | 1541-4 86 5343.0 | 2104.7

3732.7 | 1108.6 10 4489.9 | 1549.7 10 5358.6 | 2115.3

3744.6 | 1115.1 20 4503.4 | 1558.0 20 5374.2 | 2126.0

3756.5 | 1121.7 30 4516.9 | 1566.3 30 5389.9 | 2136.7

3768.5 | 1128.2 40 4530.4 | 1574.7 40 5405.6 | 2147.5

3780.4 | 1134.8 50 4544.0 | 1583.1 50 5421.4 | 2158.4

3792.4 | 1141.4 47 4557.6 | 1591.6 87 5437.2 | 2169.2

3804.4 | 1148.0 10 4571.2 | 1600.1 10 5453.1 | 2180.2

3816.4 | 1154.7 20 4584.8 | 1608.6 20 5469.0 | 2191.1

3828.4 | 1161.3 30 4598.5 | 1617.1 30 5484.9 | 2202.2

3840.5 | 1168.1 40 4612.2 | 1625.7 AO 5500.9 | 2213.2

3852.6 | 1174.8 50 4626.0 | 1634.4 50 5517.0 | 2224.3

3864.7 | 1181.6 78 4639.8 | 1643.0 88 5533<1 | 2235.5

3876.8 | 1188.4 10 4653.6 | 1651.7 10 5549.2 | 2246.7

3889.0 | 1195.2 20 4667.4 | 1660.5 20 5565.4 | 2258.0

3901.2 | 1202.0 30 4681.3 | 1669.2 30 5581.6 | 2269.3

3913.4 | 1208.9 40 4695.2 | 1678.1 40 5597.8 | 2280.6

3925.6 | 1215.8 50 4709.2 | 1686.9 50 5614.2 | 2292.0

3937.9 | 1222.7 79 4723.2 | 1695.8 89 5630.5 | 2303.5

3950.2 | 1229.7 10 4737.2 | 1704.7 10 5646.9 | 2315.0

3962.5 | 1236.7 20 4751.2 | 1718.7 20 5663.4 | 2326.6

3974.8 | 1243.7 30 4765.3: | 2422.7 30 5679.9 | 2338.2

3987.2 | 1250.8 40 4779.4 | 1731.7 40 5696.4 | 2349.8

3999.5 | 1257.9 50 4793.6 | 1740.8 50 5713.0 | 2361.5

4011.9 | 1265.0 80 4807.7 | 1749.9 90 5729.7 | 2373.3

4024.4 | 1272.1 10 4822.0 | 1759.0 10 5746.3 | 2385.1

4036.8 | 1279.3 20 4836.2 | 1768.2 20 5763.1 | 2397.0

4049.3 | 1286.5 30 4850.5 | 1777.4 30 5779.9 | 2408.9

4061.8 | 1293.6 40 4864.8 | 1786.7 40 5796.7 | 2420.9

4074.4 | 1800.9 50 2 0 50 6 ;

4879.

1796.

5813.

.S

, WwW bo

oO

Vv

Tas Le IV. — Tangents and Externals to a 1° Curve. = 4 ‘ i TaBLE V. Corrections for use with Table IV.

fe #6

| oe | ree | Copyright, 1902, by Keuffel & Esser Co. Angle |Tangent |External|| Angle |Tangent |External Angle |Tangent |External © ~~ j/ re " 2 f Meee. | For Tangents Add

a

55°| 60°| 65 | 70°

IO WO

.53| -58| .63] .63

‘ .72| .79| .84] .go

.83} .90] .Q9Q/I.06]1.14

: . .99|I.09]I.20]1.29|1.39 .70| . .92/1.04|1.29]1.42|1.54|1.66 .93|1.06]1.20|1.34]1.49|1.64|1.79|1.94

re CO Or GO Ft CO

DOWN AORHOA SNONEH

. .O1|1.22|1.53|1.84/2.15 A4 .66|1.00]1.33|1.68|2.02|2.36|2.70|/3.05|3.40|3-7 .72|1.09|1.45|1.83|2.20|2.57|2.94/3. O|4 .79|1.19|1.55|2.00|2.40|2.80 4 .86|1.30!1.74|2.18}2.62 3.06 4

4 A 9

2 4 5:37|5

. . a e . °

7 .1O 49 88

For Externals Add Angie 20°| 25°] 30° 35°| 40°| 45° 50°| 5 .007 |. .009|.O11I|.012}.014|. .014].018|.023|.027|.029].032|.035}. .022}. : .038].045]. .057|. .036}. ; .065|.074]. .093}. .O51}. .090}. 103}. .129}. .072}. .131|.153). .197]. .093}- : .172|.203)}. .265}. .1IQ}. .216|.254|. 325). ’ -I51\. , .266|.305}.. .384|.425]. .188}. .283|.332|.381].. .479].530}. .225}. .398}.457]- .575|.636). rp A : .483|.554|-625|.697|.711)-545]-¢ ; SGOT. ; .568|.652|.735|.819].906}. d .17 .383}. : .678|.777]- .977|1.07|1.18]1.29}1.39 445}. ‘ .787|.903|1.02|1.13}1.25]1.38]1.50 1.62 524. ‘ .926|1.06|1.20]1.34|1.47|1.62 1.76|1.91 .603}. 1.07|1.22|1.38]1.54)1.70|1.87|2.03|2.20 .706|.985|1.06|1.25|1.43|1.62 1.80|1.99|2.18|2.38/2.58 ,809|1,01|1.22|1.43/1.64|1.85|2,06|2.28|2.50 2.73|2.96 ha Sn ne an ee

WOW RA OUOORN HHWMON NWONAM UNONARO SPNOHAD SRDOWMN NWOWRU AOD

HOMO SwoOAkR NOUR SNOW WHOWONM DOWHAH ONNOEA

OWN ©

IX

TaBLE VI. Deflections for Sub Chords for Short Radius Curves. | Natural Sines

by! fy/ / / ; / / / / / ;

egree Radius | Wsubchord 10’ | 20’ | 30’ | 40’ | 50’ {de fdg.| 0’ | 10’ | 20’ | 30’ | 40’ | 50’ |Deg. f of aS eee R ee eee ~ 0 |0000/0029|0058 0087/01 16|0145|/89940 6428/64 50/6472|6494/6517|6539| 49 Curve | sin. def. ang. 12.5 Ft. [| I5Ft. | 2uFt. | 25Ft. | for 100 ft. | 0175|0204|0233|0262/0291 |0320|8894 I |6561 |6583|6604|6626/6648/6670| 48 | IOI 0349|0378}0407|0436|0465|0494/87942|6691|6713|6734|6756/6777|6799| 47 IOr. 0523105520581 |0610|0640|0669 864 3/6820|6841 |6862|6884|6905|6926) 46 Iol. 9698|0727|0756|0785|0814|0843 |8 5944/6947 |6967 6988 |7009|7030/7050| 45 101. 0872|0901|0929|0958|0987|1016|8414.5/7071|7092|7112)7133)7153)7173) 44 101. 1045|1074|1103|1132|1161/1190|83)46/7193)7214|7234|7254|7274|7294| 43 1219|1248]1279]1305|1334|1363|82847|7314|7333|7353|7373|7392|7412| 42 1392|1421|1449}1478|1507|1536/8148/7431/7451/7470)7490|7509 7528] 41 9 |1564|1593|1622|1650|1679|1708 (8084917547 7566|7585|7604|7622]7642| 40 10 |1736|1765|1794|1822|1851|1880(79§50|7660|7679|7698|7710|7735|7753 39 LI |1908|1937|1965|1994|2022|2051|78151|7771|7790|7808|7826 7844|7862| 38 12 |2079|2108|2136|2164|2193|2221|77952|7880|7898|7916|7934|7951 7969| 37 13 |2250|2278|2306|2334|2363/2391)/76§53|7986|8004 8021/8039|8056|8073] 36 14 |24.19|2447|2476|2504|2532|2560/75954|8090/8107 8124|8141|8158)8175| 35 15 |2588|2616|2644|2672|2700/2728| 7495 5|8192|8208|/8225 8241 8258/8274] 34 16 |2756|2784|2812|2840|2868|2896|7 3956|8290|8307 [8323/8339 8355/8371] 33 17 |2924|2952|2979|3007|3035|3062|72857 [8387 |8403 8418/5434 84.50|8465] 32 18 |3090|3118/3145/3173/3201 |3228|7 1958|/8480|8496 [8511 8526|8542/8557| 31 19 132561328313311133381336513393)7085918572(8587 8601 |861618631(8646| 30

CONT Hin Bb Ww be

CURVE FORMULAS R = T cot. } 1 Chord def. = chord?

R = 50 e

Sin. D No. chords =34 = R ex. sec } I D

T tan 3 I Tan. def. = 4 chord def.

The square of any distance, divided by twice the radius, will equal the distance from tangent to curve, very nearly. Table IV. contains Tangents and Externals to a 1° curve. Tan. and Ext. to any other radius may be found nearly enough, by dividing the Tan. or Ext. opposite the given Central Angle by the given degree of curve. To find Deg. of Curve, having the Central Angle and Tangent: Divide Tan. opposite the given Central Angle by the given Tangent. To find Deg. of Curve, having the Central Angle and Tangent: Divide Ext. opposite the given Central Angle by the given External. To find Nat. Tan. and Nat. Ex. Sec. for any angle by Table IV.: Tan. or Ext. of twice the given angle divided by the radius of a 1° curve will be the Nat. Tan. or Nat. Ex. Sec. ‘To find angle for a given distance and deflection. | ; Rule 1. Multiply the given distance by .01745 (def. for 1° for 1 ft.), and | Dez.| 60’ | 50’ | 40’ | 30 divide given deflection by the product. | eee Rule 2. Multiply given deflection by 57.3, and divide the product by Dec.| 0’ | 10’ { 20’ {| 30’ | 40 50 : the given distance. | 89 19848 9853/9858 9863 To find deflection for a given angle and distance. Multiply the angle | 81 |9877|9881)/9886|9890 by .01745, and the product by the distance. | 82 19903 |9907 |9911|\9914 RiGHT ANGLE TRIANGLES. Square the altitude, divide by twice the base. | ~ 83 19925/9929/9932|9936 Add quotient to base for hypotenuse. | 84 |994519948|9951/9954 Given Base 100, Alt. 10 10?+200=.5. 100+.5=100.5 hyp. 85 |9962/9964|9967/9969 Given Hyp. 100, Alt. 25 25?+200=3.125. 100—3.125 =96.875 = Base. | 86 |9976|9978|9980/9981 Error in first example, .002; in last, .045. 87 |9986/9988|9989/9990 To find Tons of Rail in one mile of track: multiply weight per yard 88 |9994|9995|9996|9997 by 11, and divide by 7. | 89

Deg.

10’ { 20’ { 30’ { 40’ 0000/0029/0058/0087 |o1r16 0175/0204/0233/0262|0291 0349] 0378/0407 /0437|0466 0524/0553/0582/0612|/0641 0699/0729/0758/0787/0816 0875/0904|0934| 0963/0992 I051I/1080/ILI0| 1139|1169 1228|1257/1287/ 1317/1346 1405|1435/1465|1495|1524 1584/1614|1644| 1673/1703 1763/1793/1823/1853/1883 1944|1974|2004| 2035/2065 2126|2156/2186/2217|2247 2309/2339\2370 2401/2432 2493)2524)2555|2580)2617 2679|2711'2742/2773/2805 2867| 2899/2931 |2962/29004 3057/3089/3121/3153/3185)/3217 3249 3281)/3314/3346/3378|/3411 344313479)3508)3541/3574/3607 3640/3673(3706(3739(3772/3805 3839) 3872/3906/ 3939/3973] 4006 4040/|4074|/4108/4142|4176/4210 4245/4279/4314/ 4348/4383] 4417 4452|4487/4522/4557/4502|4628 4.663] 4699) 4734| 4770/4806| 4841 4877| 4913/4950) 4986) 5022/5059 5095/5132/5169| 5206) 5243| 5280 5317/5354/5392| 5430|5467/5505 5543/ 5581/5019] 5 658/5696/5735 5774|5812{5851{5890/5930(5969 6009/6048) 6088 | 6128/6168! 6208 6249/6289] 6330/6371|6412|6453 6494] 6536) 6577 | 6619] 6661/6703 6745|6787)| 6830! 6873/6916] 6959 7002/7046] 7089/7133/7177/7221 7205|7310/7355|7400/7445|7490 7530/7581|7627|7673| 7720) 7766 7813|7860)7907|7954) 8002/8050 8098/8146 8195/8243 8292/8342

ey ee

Deg.| 60’ | 50’ | 40’ | 30’ | 207 | 6’

10’ 20’ 30’

8441| 8401 85011 8642| 49

8744} 8796 8809} 80952] 48

9057| 9110 9217| 9271] 47

9380} 09435 9545| 9601] 46

9713} 9770 9884| 9942] 45 I.0058|I. 0117 I.0235|1.0295| 44 I.0416|1.0477 I.0599|1.0661| 43 1.0786)1.0850 I1.0977|I.1041| 42 PotL PY F2L237 I.1369|/1.1436| 41 1.I571|1.1640 I.1778/1.1847| go

I. 1988/1.2059 I.2203)1.2276/ 39 I.2423/I.2497 I.2647/1.2723| 38 1.2876/1.2054 I.31II|I.3190| 37 I.335I/1.3452 I.3597/1.3680| 36 I. 3848/1. 3934 I.4106/1.4193| 35 I.4370/1.4460 I.4041|1.4733| 34 IT.AQTQ|L. 5013]1. I.5204|/1.5301| 33 T.5497|1.5597|I. I.5798|1.5900] 32 1.6107/|/1. 6212 1.6426/1.6534| 31 1.6753/1. 6864 I. 7090|)I.7205| 30 1.7437(1.7556 1.7797|1.7917| 29 1.8165|1.82901 1.8546/1.8676|] 28 1.8940/1.9074 I.9347|1.9486| 27 1.9768|I.9912 .0204/2.0353| 26 2.0655|2.0809 .1123/2.1283]| 25 2.1609/2.1775 . 2113/2.2286| 24 2.2637\2.2817 -3183/2.3369| 23 2.3750/2.3045 -4342|2.4545| 22 2.4960|/2.5172 .5605/2.5826| 21 2.6279/2. 6511 .6985|/2.7228] 20

2.7725(2.7980 .8502|2.8770| 19 2.9319|2.9600 .0178/3.0475| 18 3.108413.1397 . 2041 3.3052/3.3402 4124 3.5261|3.5656 . 6470 3.7760/3.8208 9136 4.0611/4.1126 . 2193 4.3897|/4.4494 -5736 4.7729|4.8430 - 9804 5+ 2257/5 +3093 5.4845 50’ 40’

SSS ee ; : ~ ‘ =|

30.40

8301 8603 9004 9325 9657 . 0000 -0355 0724 .1r06) 1504 .IQr8 - 2349 - 2799 .3270 - 3764 4281 . 4826 - 5399 . 6003 . 6643 7321 . 8040 . 8807 .9626 0503 -1445 . 2460 -3559 -4751 . 6051

- 7475 .9042 -0777 . 2709 -4874 W771 .O108 - 3315 . 7046

1446

Or45 0320 0495 0670 0846 1022 I198 1376 1554 1733 IQI4 2095 2278 2462 2648 2836 3026

=e

ss

~ y vemmata aaasalaneas terpenes a dens coe ep ee

8 eS ee eee . te er mr = ome.

ee ew oy eo

ere te Se

I. 1 a Be Fs I. Ts dE i fee Ir. EE IRE

bo

NO NMDSN WH DD BS HR RR SR OR OR Oe BO Oe OR Lone

ee ~<

BRARWWWWWDHIYND DH DHNHDHDDND

MPR BRWWWwWdNIY DNDN DH HH DND ARAL

aAbPDBRWWWWD bd

|__ 59” 6.1970 6.9682

( 10’ 20’ 30’ 40’ '5-7604|5.8708| 5.9758| 6.0844 6.4348|6. 5606) 6.6912! 6.8269

7.2687|7.4287 8.3450|8.5555 9. 7882/10.078 II.826/12.250 14.924/15.605 20.206/21.470 31. 242134.368 68.750

50’

40’

7.5958 8.7769 10.385 12.706 r6. 350 22.903 38.189

85.940/114. 588/171.

30’

7.7704 9.00908 Li ers Be 13.197 I7.169 24.542 42.904

885):

20’

Natural Cotangents.

7-9530 9.2553 IL.059

z|° HNWRUMUON 0 0 | e bs

Et

Sg bes: cSetet ae

a emis inane leat tine

te been aor ede pee tegatana ceo

Sa a

= ‘ —— FON gy ae aT Ie eA Sugita Te eee = ix r ree

16 17 25 26 27

9 4

47 48 59 60

i 2 7

45 47 dl 53.2 55 57 59 60

6 1 6 1 6

‘e

3

NASOAMIGSHOMAAAOR OOM SS NANA A AN OD 09 09 09 OD

48

5) 49 DL

61.

BG 38 1 60 Calculated by Julien A. Hall, M. Am. Soc. C. E.

Sipz Stopes 114 To l.

8.6 | 58 60

58 60

1 6 5 6 1 ]

hy DON 6D 1D fO eee sae

a2

46 48 AQ ol o4

oO 0 9) 0 2.5 0 0 5 0

-

mere

For Sincut Track EMBANKMENT. 46.3 | 46

8 | 48 3 | 49 8 | 51

52

3

KRGOOMRMHOKRAONDMDIOMNAANYTONRAOTS H ¢ SSR NNNANNANN NAAN OD 09 09 09 OD OD SHS SH

38

49 7 | 50 52 o3 o6

2 7 7 2

Roapway 14 FEET WIDE.

MOOnMHO . a SAHARA NNANANN

6.2 47.7 | 47 49.2 50 52 53) 56 58

0

27 || 47.5 49 29 || 50.5

ce) Se ARMA AAAAN

> 5.0

POE fea elle. et Re Leman ais beamed neem eaMnis EN he

26 || 46.0 | 4

Hee sto 60 si Oe Bebo CRS =m

28 ol 32 OO b4

ee

1 es aT ye = — = a ee ee OO ———————— -