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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.

.

Circumf. of circle = x diam.,
Surface of sphere = m (diam.), T 3•1415926 10:49715
Area of circle = x (radius),
Circumf. of circle = 24 x radius, . 27 6•2831853 0.79818
Area of circle = * (diam.),. . T 0-7853982 7.89509
Surface of sphere
41 ~ (radius),

47 12.5663706 10992 I Volume of sphere=1# * (diam.)3, $ 0,5235988 771900 Volume of sphere=fr * (radius) 3, $7 1418879020-62209 Square of at,

9.8696044 0.99430 Square root of it, •

V 197724539 0-24857 Cube root of it,

VT 1.4645919 0.16572 Napierian logarithm of ar,

logem l'1447299 0.05870 360° expressed in seconds, .

1296000 16:11261 360° expressed in minutes,

21600

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

5-31442 in minutes,

180

3437*747 |3 53627 in degrees,

57-29578 1975812 Length of arc 1" = sin 1",

sin 1" 0.000004848 6.68557 Length of arc r' sin i',

sin 1'0'000290888 4.46373

.

.

Constants relating to Logarithmio Systems.

Constant.

Log.

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

e 20718281828 0.43429 M 0:434294482 1•63778 k 2.3025850930-36222 Constants relating to Gravity.

Constant.

Log.

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3438.8

Cubic inch of distilled water at 62°F. in grains, 252.458 2940219

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., 997*31 2.99883

in lbs. av., 62.33184 179471 Cubio inch of mercury at 32° F. in grains, .

3.53641

in lbs. av., 10:49125 1.69131 Seconds pendulum in inches at London, 39-139

1'59261 at Pole, L=39*118

1396218 1.59348 - to cos 21,

39-118 1.59238 at Equator,

39'018 1•59126 Gravity in feet at London,

32:1908 1050773 at Pole,

32'2552 1•50860 at lat. 45°,

32-1736 1°50750 at Equator,

132'0907 | 1450638

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Constants relating to French Measures.

Constant.

Log.

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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,

443-295932-64669
1-949037 0.28982
17607351188499
139-37079 1'59517
0-155006 i•19035
6:45134 0.80965
0:6214 1079336
0-38612 1.58672
2.47111 039289
15432-348 4:18843
2-20460 0-34333
2.67923 0:42801
61.02672 178552
176076 0:24570
0-22009 34261
22'009 1:34261
20751 0°43952
0*34390 7.53643

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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

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

per sq. inch, Foot-pounds into kilogrammetres,

0:13825 1:14067 Francs per hectare into £ sterling per acre,. o‘01619 2•20917 Francs per hectolitreinto shillings per quarter, 12-32632 0.36667

} 6-00136 3·3341 } | 14:22163 1-15298

A TABLE OF LOGARITHMS, For the Mutual Conversion of the MEASURES and WEIGHTS of ENGLAND, PRUSSIA, AUSTRIA, AND FRANCE.

MEASURES.

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