An Elementary Treatise on Plane and Solid Geometry

acute adjacent altitude applied base called centre chord circle circumference coincide common construct contained convex surface Corollary cylinder Definitions denote described diameter difference divided Draw drawn equal equal distances equiangular equilateral equivalent extremities faces fall figure formed four frustum given given polygon greater half the product Hence homologous sides included infinitely small inscribed intersection isosceles Join less mean measure meet middle number of sides opposite parallel parallel planes parallelogram parallelopipeds passes perimeter perpendicular plane pole polyedron preceding prism Problem Proof proportional prove pyramid radii radius ratio rectangles regular polygon respectively right angles right triangle sector segment side BC similar similar polygons solid angle solidity Solution sphere spherical triangle square straight line Suppose surface Take tangent Theorem third triangles ABC vertex vertices whence