TABLES

OF

USEFUL CONSTANTS,

WITH THEIR

LOGARITHMS.

Imperial gallon = 277'274 cubic inches,
Cologne mark= 3609 grains,
Livre (Poids de Marc)=7554 grains,
Rhineland or Prussian foot = 12.356 inches,
Prussian mile = 4.68038 English miles,
German mile = 4.61050 English miles,
Russian verst = 3500 feet,

=0.66288 English miles,

I '09190 0.67028 0.66375

3.54407

1.82144 Constants relating to the Circle.

Constant.

Log.

Circumf. of circle = t x diam.,
Surface of sphere = a (diam.),

3•1415926 0.49715
Area of circle = * * (radius),
Circumf. of circle = 21 x radius, 27 6.2831853 079818
Area of circle = * * (diam.),.

0.7853982 7•89509 Surface of sphere = 47 x (radius), 47 12.5663706 1409921 Volume of sphere = *# * (diam.)3, T 10:5235988 171900 Volume of sphere=f* (radius), $# 4•18879020-62209 Square of 77,

72

9-8696044 0.99430 Square root of , .

VT 197724539 0-24857 Cube root of it,

V. 1•4645919 0·16572 Napierian logarithm of it,

loge 1•1447299 0.05870 360° expressed in seconds, .

1296000 6:11261 360° expressed in minutes,

21600

4'33445 Arc equal radius expressed in seconds, 206264:8

5*31442 in minutes, 3437*747 |3 53627)

180

in degrees, 57*29578 1•75812 Length of arc 1" sin 1",

sin I"\0*000004848 668557 Length of arc i' = sin i',

sin 1'0'000290888 4:46373

3

.

17

Constants relating to Logarithmic Systems.

Constant.

Log.

Base of Napierian system, .
Modulus of Brigg's system,
Reciprocal of modulus, .

e 2.7182818280-43429 M 0:434294482 1:63778 k 2.3025850930-36222

Constants relating to Gravity.

Constant.

Log.

Cubic inch of distilled water at 62°F. in grains, 252.458 2040219

at 60° F.

252.500 2.40226 at 4° C.

252.89 2.40293 Cubic foot of distilled water at 60° F. in oz. av., 99731 2-99883

in lbs. av., 62°33184 1679471 Cubic inch of mercury at 32° F. in grains, .

3438.8 3-53641

in lbs. av., 0.49125 17:69131 Seconds pendulum in inches at London, . 39-139

1.59261
at Pole,
L= 39°118

39'218 1.59348
at lat. 45°,

It cos 21,

39°118 at Equator,

39'018 Gravity in feet at London,

32.1908 1.50773 at Pole,

32°2552 1050860 at lat. 45°,

32*1736 1:50750 at Equator,

32*0907 1.50638

.

1.59238 1.59126

.

.

.

Constants relating to French Measures.

Reduction Multipliers

FOR CONVERTING

Constant. Log. Barometric inches (32° F.) into lbs. per. sq. in. 0-49125 1.69131 Barometric millimetres (32° F.) into kilo- } 10.00136 3.13341

grammes per sq. centimetre, . Kilogrammes per sq. centimetre into lbs.

Foot-pounds into kilogrammetres,

0:13825 1:14067 Francs per hectare into £ sterling per acre,. .01619 2.20917 Francs per hectolitreinto shillings per quarter, 2-32632 0-36667