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TABLES

OF

USEFUL CONSTANTS,

WITH THEIR

LOGARITHMS.

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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.

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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 175812 Length of arc 1" sin 1",

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

sin 1'0'000290888 4:46373

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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.

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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

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1.59238 1.59126

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Constants relating to French Measures.

Constant.

Log.

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2-40293 2.9988;

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1 *79471 333641

1-69131

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Metre in Paris lines, .
Toise in metres,

in inches,
Metre in inches,
Square centimetre in square inches,
Square inches in square centimetres,
Kilometre in miles,
Square kilometre in square miles,
Hectare in statute acres,
Kilogramme in grains, .

in lbs. avoir.,

in lbs. troy, : Litre in cubic inches, in imperial pints, .

gallons, Hectolitre in imperial gallons, .

bushels, . quarters,

443*29593 2:64669 1-949037 0.28982 17607351 1.88499 139-37079 1059517 0:155006 i819035 6:45134 0.80965 0:6214 1.79336 0.38612 1.58672 2.4711 0:39289 15432348 4.18843 2620460 0*34333 2.67923 0:42801 61*02672 178552 1•76076 0:24570 0-22009134261 22'009

1•34261 29751 0'43952 0-34390 1.53643

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1059261 1.59348/ 1°59238/ 1059126 1-50773) 1050860/ 1050750) 1.50638/

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Reduction Multipliers

Log.

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.

**3206364 **319182; "5625138) 5596000 56177677 +5639504 +5622929

Ds. } 14-21263 1-15298

per sq. inch,

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

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