## Plane and Solid Geometry |

### Other editions - View all

### Common terms and phrases

AABC ABCD acute angle adjoining figure altitude base bisectors bisects called central angle chord circular cone circumference circumscribed congruent construct Corollary corresponding cube cylinder diagonal diameter dihedral angles distance divide drawn equiangular equilateral triangle EXERCISES feet frustum given line given point Hence HINT hypotenuse inches long inscribed interior angles intersection isosceles triangle lateral area lateral edges length line joining locus lune measured middle point number of sides opposite Outline of proof parallel lines parallelepiped parallelogram perimeter perpendicular polyhedral angle polyhedron prism prove pyramid quadrilateral radii radius ratio rectangle regular polygon regular polyhedron respectively rhombus right angles right circular right triangle ruler and compasses secant segment Show similar slant height sphere spherical polygon spherical triangle square straight line subtended surface tangent tetrahedron Theorem trapezoid triangle ABC triangular trihedral vertex vertices volume

### Popular passages

Page 174 - The area of a rectangle is equal to the product of its base and altitude ; that is, A = ab. 443. Corollary 1. The area of a square is equal to the square of its side. 444. Corollary 2. Tiro rectangles are to each other as the products of their bases and altitudes.

Page 93 - Any two sides of a triangle are together greater than the third side.

Page 137 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.

Page 48 - We assume that but one straight line can be drawn through a given point parallel to a given straight line.

Page 306 - a circle of a sphere is the diameter of the sphere which is perpendicular to the plane of the circle. The ends of the axis are called the poles of the circle.

Page 108 - A line perpendicular to a radius at its extremity is tangent to the circle.

Page 67 - If two triangles have two sides of the one equal to two sides of the...

Page 321 - 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 158 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.

Page 68 - The perpendicular is the shortest line that can be drawn from a point to a straight line.