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altitude angles are equal apply axis base called circle circumscribed common congruent considered construct containing corresponding cube cubic definitions denotes determine diagonal diameter diedral angles difference dimensions distance divided draw drawn element equal equally distant equilateral equivalent EXERCISES face angles figure Find the area Find the volume formed formula four frustum geometry given line given point greater Hence inches included inscribed intersection lateral area lateral edges length less locus lune measure meet opposite parallel planes parallelepiped parallelogram pass perpendicular plane Q polar pole polyedral angle polyedron polygon prism Problem projection Proof proportional prove pyramid radii radius ratio rectangular regular respectively right circular cone segment Show sides similar slant height solid sphere spherical polygon spherical triangle square straight line surface symmetric tangent tetraedron Theorem third total area triangular triedral vertex vertices zone
Σελίδα 434 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 439 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.
Σελίδα 319 - The lateral area of a prism is equal to the product of the perimeter of a right section of the prism by a lateral edge. Let AD...
Σελίδα 395 - The areas of the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 294 - The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of the plane.
Σελίδα 292 - If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to that plane. Let AB, A'B', be parallel lines, and let n s' AB be perpendicular to the plane MN; then, A'B
Σελίδα 432 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Σελίδα 293 - The projection of a point upon a plane is the foot of the perpendicular from the point to the plane.