# Solid Geometry

Ginn, 1922 - Geometry, Solid - 192 pages

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### Contents

 LINES AND PLANES 303 POLYHEDRONS CONES AND CYLINDERS 358 THE SPHERE 443

### Popular passages

Page 300 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Page 298 - ... if two triangles have two sides of one equal, respectively, to two sides of the other...
Page 298 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Page 300 - If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle...
Page 389 - If a pyramid is cut by a plane parallel to the base, (a) The altitude and the lateral edges are divided proportionally; (b) The section is a polygon similar to the base. Given the pyramid V-ABCDE cut by a plane A'D
Page 296 - If two sides and the included angle of one triangle are equal respectively to two sides and the included angle of another triangle, then the triangles are congruent.
Page 298 - A line joining the midpoints of the non.parallel sides of a trapezoid is parallel to the base, and equal to half the sum of the bases.
Page 351 - The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of the plane.
Page 343 - 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 399 - A regular pyramid is one whose base is a regular polygon and whose vertex lies in the perpendicular erected at the center of the base.