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178

APPENDIX VI

TABLE 1

FORMULAS AND TABLES FOR ARCH BRICK
Firebrick Arches; Rise, Length, Radius, for Chord of Unity

No. 1
	No. 2
	No. 3
	No. 4
	No. 5
	No. 6
	No. 7
	No. 8

Rise or Middle Ordinate Decimal of Span or Chord
	Logarithm or Rise or Middle Ordinate
	Rise or Middle Ordinate Inches per 1 Ft Span or Chord
	Arc
	Length of Arc
	Logarithm of Length of Arc
	Radius of Arc
	Logarithm of Radius of Arc

V
	log v
	V
	a, Degrees, Minutes and • Seconds
	b or c
	log b logc
	r or rr
	logr logr'

0 0300
	8 47712
	
	13-44-04
	1 00240
	0 C0104
	4 1816
	0 62135

0.0313 0.0328
	8.49485 8 51550
	t
	14-19-42 15-00-00
	1.00261 1 00285
	0.00113 0 . 00124
	4.0092 3.8307
	0.60306 0 58327

0.0339 0.0350 0.0365 0.0391 0 0400
	8.52961 8.54407 8.56180 8.59176 8 60206
	if
 '"ft if
	15-30-52 16-01-00 16-19-05 17-53-09 18-17-44
	1.00305 1.00327 1.00355 1.00407 1 00426
	0.00132 0.00142 0.00154 0.00176 0 00185
	3.7043
 3.5889 3.4429 3.2313 3 1450
	0.58671 0.55496 0.53693 0.50738 0 49762

0.0417 0.0443 0 0450
	8.61979 8.64612 8 65321
	i &
	19-04-11 20-11-00 20-34:-18
	1.00462 1.00522 1 00539
	0.00192 0.00226 0 00233
	3.0254 2.8535 2 8002
	0.47978 0.45538 0 44719

0.0469 0.0493 0.0495 0 0500
	8.67094 8.69237 8.69442 8 69897
	ft
 '"»'
	21-26-23 22-30-00 22-36-56 22-50-32
	1.00585 1.00645 1 . 00652 1 00665
	0.00253 0.00279 0.00282 0 00288
	2.6887 2.5629 2.5500 2 5250
	0.42954 0.40873 0.40654 0 40226

0.0521 0.0547 0 0550
	8.71670 8.73789 8 74036
	I ft
	23-47-44 24-58-24 25-Q6-34
	1.00723 1.00796 1 00805
	0 . 00313 0.00344 0 00348
	2.4254 2.3125 2 3002
	0.38476 0.36409 0 36177

0.0573 0.0599 0.0600
	8.75809 8.77740 8 77815
	& If
	26-09-01 27-19-34 27-22-16
	1 . 00873 1.00954 1 00957
	0.00378 0.00412 0 00414
	2.2102 2.1168 2 1133
	0.34442 0.32567 0 32497

0.0625 0 0650
	8.79588 8 81291
	1
 4
	28-30-00 29-37-42
	1 . 01088 1 01123
	0.00470 0 00485
	2.0314 1 9555
	0.30776 0 29126

0.0651 0 0658
	8.81361 8 81840
	If
	29-40-22 30-00-00
	1.01127 1 01153
	0.00487 0 00498
	1.9527 1 9319
	0.29063 0 28 W7

0.0677 0 0700
	8.83064 8 84510
	tt
	30-50-42 31-52-43
	1.01217 1 01302
	0.00525 0 00569
	1.8802 1 8207
	0.27421 n 9R094.