## Plane and Solid Geometry |

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### Common terms and phrases

ABCD altitude angles are equal apothem base bisector bisects central angle chord circular cone circumference circumscribed construct a square cylinder diagonals diameter dihedral angles equilateral triangle exterior angle face angles figure Find the area Find the volume frustum given line given point given triangle Hence homologous homologous sides hypotenuse inscribed regular intersecting isosceles triangle lateral area lateral edges legs line joining mean proportional measured by arc median meet midpoint mutually equiangular number of sides opposite parallel parallelepiped parallelogram Pass plane perimeter perpendicular plane MN polyhedron prism Proof Prove quadrilateral ratio rectangle regular hexagon regular polygon regular pyramid rhombus right angles right circular right triangle secant segments similar slant height sphere spherical polygon spherical triangle straight line surface tangent tetrahedron THEOREM total area trapezoid trihedral vertex vertices

### Popular passages

Page 141 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.

Page 30 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.

Page 42 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

Page 148 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.

Page 79 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.

Page 230 - An equiangular polygon inscribed in a circle is regular (if the number of its sides is odd) . 3.

Page 43 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.

Page 49 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.

Page 14 - The straight lines are called the sides of the triangle, and their points of intersection are the vertices of the triangle.

Page 243 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex.