## Plane and Solid Geometry |

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### Common terms and phrases

ABCD acute angle altitude angle adjoining angles are equal apothem base bisector bisects chord circular cone circumference circumscribed circumscribed circle construct a square cylinder diagonals diameter dihedral angles equilateral triangle equivalent exterior angle face angles figure Find the area frustum given line given point given triangle Hence homologous homologous sides hypotenuse inscribed regular intersecting isosceles triangle lateral area lateral edges 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 139 - 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 228 - An equiangular polygon inscribed in a circle is regular (if the number of its sides is odd) . 3.

Page 41 - 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 47 - 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 241 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex.

Page 146 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.

Page 12 - The straight lines are called the sides of the triangle, and their points of intersection are the vertices of the triangle.

Page 143 - A line parallel to one side of a triangle divides the other two sides proportionally.

Page 268 - If from the foot of a perpendicular to a plane a line be drawn at right angles to any line of the plane, and...

Page 340 - The lateral area of a circular cylinder is equal to the product of the perimeter of a right section of the cylinder by an element. Let S denote the lateral area, P the perimeter of a right section, and E an element of the cylinder AC.