# Plane and Solid Geometry

American Book Company, 1907 - Geometry - 412 pages

### Contents

 INTRODUCTION 11 168 18 207 79 Summary 92 Original Constructions 127 107 134 Maxima and Minima 245 LINES PLANES 251
 245 337 Theorems and Demonstra 345 Original Exercises 355 POLYHEDRONS 291 362 Preliminary Theorems 368 Areas and Volumes 386 Original Exercises 397 Copyright

 BOOK VIII 325

### 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.