i8o 



INDEX. 



Measures {contimied). 



of surface, British xxxviii 



Metric xli 



tables for interconversion of. .2, 3, 173, 174 



Mechanical equivalent of heat 172 



Mechanical units, dimensions of 175 



Mensuration xxviii-xxxiii 



Mercury, density and cubical expansion of. .172 



Meridian, arcs of terrestrial xlvi 



table of lengths of 78-80 



circumference of earth xlix, 171 



Method of least squares Ixxxvi 



Metre, Prototype xxxiv 



equations of Nos. 21 and 27 xl 



relation to British yard xxxvi, xli 



Metric system xl 



Mile, Austrian 16S 



British (statute) xxxvii 



Danish, German sea, Netherlands, Nor- 

 wegian, Prussian, Swedish 168 



Nautical 16S I Radii, of curvature xlv 



Modulus of common logarithms xv I Radius of curvature, of meridian, table of 



Polygons, regular, areas of xxx 



lengths of lines of xxvii 



Potential (electric), dimensions of 175 



Potlienot's problem Ixiv 



Pound, imperial, avoirdupois xxxiv 



I'ower, dimensions of 17 c 



Pressure, of atmosphere 172 



Prism, volume of xxxii 



Probable error, definition of Ixxxiv 



computation of xcv 



Projection of maps . . lijj, cii 



Prototype Kilogrammes and Metres xxxiv 



equations of xl 



Quadrilaterals, of earth's surface, areas of 1 



tables of areas of 142-159 



Quantity, of electricity, dimensions of 175 



Moivre's formula xvi 



Moment of inertia of mass, dimensions of. . . 175 



Moments of inertia of earth Ixvi 



Momentum, dimensions of 173 



Napierian base (of logarithms) xiv, 171 



Napierian logarithms xiv 



Napier's analogies xx 



Natural Ingariihms xiv 



Nautical mile, table of equivalents in statute 



miles 168 



Numerical constants 171 



Ohm, dimensions of 175 



Palm, length of, English xxxviii 



Netherlands 16S 



Parallel, arcs of terrestrial xlix 



table of lengths of 81-83 



Pendulum, length of seconds 171 



table of lengths of 169 



Perch (of masonry) volume of .xxxix 



Perimeter, of circle xxviii 



of ellipse xxix 



of regular polygon xxviii, xxx 



Physical constants 172 



Physical geodesy, salient facts of Ixv 



Physical quantities, dimensions of 175 



Platinum, linear expansion of 170 



I'latinum iridium, linear expansion of 170 



Polyconic projection of maps liii 



graphical process of, explained cii 



logarithms of 48-56 



of section normal to meridian, table of 



logarithms of S7-65 



of section oblique to meridian, table of 



logarithms of 66, 67 



Radius vector of earth's surface 1 



Rate of working (power), dimensions of. . . .175 



Raiio, of pound to kilogramme xxxvi 



of specific heats of air 172 



of yard to metre xxxvi 



Reciprocals, of natural numbers, table of. .4-22 



Reduced latitude xliv 



Reduction to sea level of measured base line. Ixiv 



References, to works on astronomy Ixxxii 



to works on geodesy Ixvi 



to works on the theory of errors xcviii 



Refraction, astronomical, table of 161 



e.\am])le of computation of civ 



coefficients of terrestrial Ixiii 



Right ascension Ixxii 



Rode, Danish 168 



Ruthe, Prussian, Norwegian 168 



Sagene, Russian 168 



Sea level (see Geoid), reduction of measured 



base line to Ixiv 



Sea surface, area of Ixv 



Secondary triangulation, differences of lati- 

 tude, longitude, and azimuth in Ix 



Series, binomial xiv 



logarithmic xiv 



of Maclaurin and Taylor ::xii 



trigonometric xvii 



Sidereal day and year, length of 172 



