# Elementary Solid Geometry and Mensuration

Macmillan, 1896 - Geometry, Solid - 199 pages

### Contents

 Normals 37 Angles of Lines in Space 61 Definitions and General Properties 64 Prisms 76 Pyramids 85 Properties 98 Cones 104 CHAPTER VI 111
 CHAPTER VII 144 The Ellipse 151 MENSURATION OF SOLIDS 155 The Prismatoid 170 Spherical Figures 180 Formulas of the Mensuration of Solids 186 29 190 365 196

### Popular passages

Page 78 - An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. Hyp. OM is a right section of oblique prism AD', and OM ' a right prism whose altitude is equal to a lateral edge of AD'. To prove AD' =0= GM' . Proof. The lateral edges of GM
Page 139 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Page 109 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 47 - Find a point in a given straight line such that the sums of its distances from two given points (not in the same plane with the given straight line) may be the least possible.
Page 139 - If two triangles have two angles, and the included side of the one equal to two angles and the included side of the other, each to each, the two triangles will be equal...
Page 139 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...