Solid Geometry |
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AABC ABCD altitude Analysis and construction angles are equal arcs axis bisector bisects circular cylinder coincides congruent spheres conical surface corresponding cube diameter dihedral angle equal chords equal segments EXERCISES face angles Find the area Find the total Find the volume frustum given plane given point Hypothesis increased indefinitely inscribed intersecting planes isosceles lateral area lateral edges lateral faces locus of points lune mathematics measure Outline of proof parallel planes parallelogram plane angle plane containing Plane Geometry plane parallel plane perpendicular planes are parallel points equally distant polar polyhedral angle polyhedrons prismatoid prove radii radius rectangle regular polygon regular polyhedrons revolves right angles right circular cone right section segments or angles semicircle skew lines slant height space spherical angle spherical polygon spherical surface spherical triangle square straight line symmetric tangent tetrahedron THEOREM total area triangular prism trihedral vertex vertices
Popular passages
Page 85 - The distance between two points on the surface of a sphere is the length of the minor arc of a great circle between them.
Page 23 - A straight line perpendicular to one of two parallel planes is perpendicular to the other also.
Page 185 - The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles.
Page 195 - The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse: a2 + b2 = c2.
Page 195 - The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle, and likewise the external bisector externally.
Page 196 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 193 - Multiplying or dividing both terms of a ratio by the same number does not change the value of the ratio.
Page 97 - If two triangles have two angles, and the included side of the one equal to two angles and the included side of the other, they are equal in all their parts.
Page 23 - If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their intersection is perpendicular to the other.
Page 195 - If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle: 1st.