## Solid Geometry |

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### Common terms and phrases

altitude Analysis and construction arcs axis base called chords circle coincides common Conclusion cone congruent conical contains corresponding cylinder definition determined diameter dihedral angle divided draw drawn edges elements equally distant equivalent EXERCISES face angles faces figure Find formed frustum Geometry give given plane given point greater height Hypothesis Illustration inscribed intersect isosceles joining lateral area lateral edges lateral faces locus lune mathematics measure meet Note opposite parallel parallel planes parallelepiped parallelogram pass perpendicular placed Plane Geometry plane parallel plane perpendicular polar pole polygon polyhedral angle polyhedrons prism projection proof prove pyramid radius ratio regular respectively revolves right angles right circular cone right section segment Show sides similar solid space sphere spherical triangle square straight line Suggestion surface symmetric tangent THEOREM third total area trihedral unit vertex vertices volume

### 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.