178 



INDEX. 



Co-ordinates {contimted). 



table of, scale 1/126720 102-109 



table of, scale 1/63360 1 10-121 



table of, scale 1/200000 122-131 



table of, scale i/Soooo 1 32-1 41 



of generating ellipse of earth's spheroid . . xliv 



Copper, linear expansion of 170 



Cord (of wood), volume of xxxix 



Correction, for astronomical refraction, table 



of mean values of 161 



to observed angle for eccentric position 



of instrument Ixiii 



to reduce measured base to sea level. . .Ixiv 



Cosines, table of natural 28, 29 



use of table explained c 



Cotangents, table of natural 30> 3' 



use of table explained c 



Coulomb, dimensions of 175 



Cubature, of volumes xxxii 



Cubes, table of 4-22 



Cube roots, table of 4-22 



Cylinder, surface of xxxi 



volume of xxxii 



Day, sidereal and solar Ixxii, 172 



Degrees, number of, in unit radius xviii 



of terrestrial meridian xlvi, 166 



of terrestrial parallel xlbc, 167 



Density, mean, of earth Ixv 



mean, of superficial strata of earth Ixv 



of mercury 172 



Departures (and latitudes), table of 32-47 



mode of use of table explained c 



Depths, average, of oceans Ixv 



Determination, of azimuth Ixxix 



of heights, by barometer 160 



by trigonometric leveling Ixi 



of latitude Ixxvii 



of time Ixxiv 



Difference, between astronomical and geo- 

 detic azimuth Ivii 



of heights, by barometer 160 



by trigonometric leveling 1x1 



Differences, of latitude, longitude, and azi- 

 muth, on earth's spheroid Iviii 



table for computation of 70-77 



Differential formulas xxi 



Dimensions, of earth xliii, 171 



of physical quantities 175 



Dip, of sea horizon Ixiii 



Distance, of sea horizon Ixiii 



of sun from earth 172 



Dooliltle, Prof. C. L., treatise cited Ixxxii 



Earth, compression of xliii, 171 



Earth {continued). 



density of Ixv 



dimensions of xliii, 171 



ellipticity of xliii, 171 



energy (of rotation) of Ixvi 



equatorial perimeter of xliii, 171 



flattening of xliii, 171 



mass of Ixvi 



meridian perimeter of xlix, 171 



moments of inertia of Ixvi 



shape of xliii 



surface area of lii 



volume of Ixv 



Eccentricity, of ellipse xliii 



of earth's spheroid xliv, 171 



El, value of 168 



Electric quantities, dimensions of 175 



Electro-magnetic quantities, dimensions of .175 



Ellipse, area of xxx 



equations to xliv 



length of perimeter of xxix 



Ellipsoid, volume of (see Spheroid) xxxiii 



Ellipticity, of earth xliii, 171 



Energy, dimensions of 175 



of rotation of earth Ixvi 



Equations, of ellipse xliv 



of Prototype Kilogrammes xl 



of Prototype metres xl 



Error, in ratio of English yard to Metre, .xxxvii 



Errors, probable, mean, average, .l.xxxiv, Ixxxviii 



table of, for interpolated quantities, .l.xxxvi 



theory of Ixxxiii 



Everett, J. D., treatise cited xlii 



Excess, spherical or spheroidal Iviii 



Expansion, cubical, for air and mercury 172 



linear, of principal metals 170 



Farad, dimensions of 175 



P'athom, length of xxxviii 



Swedish 168 



Flattening, of earth xliii, 171 



Foot, Austrian 168 



British xxxvii 



French, Rhenish, Spanish, Swedish. . . . 168 



Force, dimensions of 175 



Formulas, algebraic xiii-xv 



for differentiation xxi 



for integration xxiii 



for solution of plane triangles xviii 



for solution of spherical triangles xx 



trigonometric xv 



Freezing point of mercury 172 



Functions, trigonometric, of one angle xv 



of two angles xvi 



special values of xv 



values in series xvii 



