via CONTENTS. 



2. Areas , . xxix 



a. Area of plane triangle xxix 



b. Area of trapezoid xxix 



c. Area of regular pol3'gon xxx 



d. Area of circle, circular annulus, etc xxx 



e. Area of ellipse xxx 



f. Surface of sphere, etc xxxi 



g. Surface of right 'cylinder xxxi 



h. Surface of right cone xxxi 



i. Surface of spheroid xxxi 



3. Volumes xxxii 



a. Volume of prism xxxii 



b. Volume of pyramid xxxii 



c. Volume of right circular cylinder xxxii 



d. Volume of right cone with circular base xxxii 



e. Volume of sphere and spherical segments xxxii 



f. Volume of ellipsoid xxxiii 



UNITS. 



1. Standards of Length and Mass xxxiv 



2. British Measures and Weights xxxvii 



a. Linear measures xxxvii 



b. Surface or square measures xxxviii 



c. Measures of capacity xxxviii 



d. Measures of weight xxxix 



3. Metric Measures and Weights xl 



4. The C. G. S. System of Units xlii 



GEODESY. 



1. Form of the Earth. The Earth's Spheroid. The Geoid . . xliii 



2. Adopted Dimensions of Earth's Spheroid xliii 



3. Auxiliary Quantities xliii 



4. Equations to Generating Ellipse of Spheroid xliv 



5. Latitudes used in Geodesy xliv 



6. Radii of Curvature xlv 



7. Lengths of Arcs of Meridians and Parallels of Latitude . xlvi 



a. Arcs of meridian xlvi 



b. Arcs of parallel xlix 



8. Radius-Vector of Earth's Spheroid 1 



9. Areas of Zones and Quadrilaterals of the Earth's Surface 1 

 ID. Spheres of Equal Volume and Equal Surface with Earth's 



Spheroid lii 



11. Co-ordinates for the Polyconic Projection of Maps . . . liii 



12. Lines on a Spheroid Ivi 



a. Characteristic property of curves of vertical section .... Ivi 



b. Characteristic property of geodesic line Ivii 



