## Plane and Solid Geometry |

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### Common terms and phrases

a₁ ABCD altitude angles are equal angles equal b₁ b₂ bisected bisectors C₁ called central angle chord circle circumcenter circumference circumscribed cone congruent construct convex COROLLARIES corresponding cylinder DEFINITIONS diagonals diameter dihedral angle divided draw drawn edges equal angles equidistant equilateral EXERCISES face angles figure of th frustum geometry given line given point greater hypotenuse inscribed interior angles intersection isosceles triangle line-segment locus lune mid-points oblique opposite sides P₁ parallel parallelepiped parallelogram perigon perimeter perpendicular plane plane geometry polyhedral angle prism Prismatoid Proof pyramid quadrilateral radii radius ratio rectangle regular regular polygon respectively rhombus right angle right-angled triangle Section segments Similarly slant height sphere spherical polygon spherical surface spherical triangle square straight angle straight line Suppose symmetric tangent tetrahedron Theorem transversal trapezoid trihedral vertex vertices

### Popular passages

Page 90 - The projection of a point on a line is the foot of the perpendicular from the point to the line. Thus A

Page 127 - To draw a tangent to a given circle from a given point.

Page 295 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...

Page 74 - Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.

Page 37 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.

Page 159 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.

Page 225 - Theorem. If each of two intersecting planes is perpendicular to a third plane, their line of intersection is also perpendicular to that plane. Given two planes, Q, R, intersecting in OP, and each perpendicular to plane M. To prove that OP _L M.

Page 265 - A Plane Surface, or a Plane, is a surface in which if any two points are taken, the straight line which joins these points will lie wholly in the surface.

Page 94 - To construct a parallelogram equal to a given triangle and having one of its angles equal to a given angle.

Page 24 - ... 3. If two sides of a triangle are equal, the angles opposite these sides are equal ; and conversely.