An Elementary Geometry. Plane, Solid, and Spherical, with Numerous Exercises Illustrative of the Principles of Each BookReprint of the original, first published in 1877. |
Contents
GEOMETRY | 1 |
RATIO AND PROPORTION | 35 |
THE CIRCLE | 75 |
Practical Questions | 101 |
PROBLEMS OF CONSTRUCTION | 113 |
85 | 133 |
44 | 147 |
70 | 155 |
Prisms and Cylinders | 157 |
The Sphere | 187 |
SPHERICAL GEOMETRY | 195 |
Exercises | 211 |
BOOK IX | 213 |
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Common terms and phrases
A B D adjacent angles altitude angles are equal apothem arcs A B centre chord circle circumference cone construct the triangle convex surface Corollary cube cylinder diagonals diameter diedral angles distance divided draw equal angles equally distant equivalent bases face angles feet frustum given angle given line given point given side hence homologous lines hypothenuse intersection isosceles triangle middle points mutually equiangular mutually equilateral number of sides opposite sides parallelogram parallelopiped pass a plane perimeter perpendicular plane MN polar triangle pole polyedral angle polyedrons proposition quadrilateral radius ratio rectangle rectangular parallelopiped regular polygon respectively equal right prism right triangle Scholium similar similarly situated slant height spherical angle spherical polygon spherical triangle square straight line tangent tetraedrons THEOREM triangle A B C triangle is equal triangular prism triangular pyramid triedral vertex vertices