# Plane and Solid Geometry

American Book Company, 1907 - Geometry - 412 pages

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### Contents

 INTRODUCTION 11 Postulates 17 Original Constructions 19 Theorems and Demonstra 23 Quadrilaterals 45 Polygons 54 Locus 60 Formulas 62
 POLYHEDRONS 291 Original Exercises 304 Regular and Similar Poly 323 Original Exercises 329 Analysis 336 304 360 93 365 Constructions 368

 Cones 81 Formulas 107 64 204 Preliminary Theorems 252 Summary 268 Constructions 290
 Original Exercises 382 Preliminary Theorems 388 Formulas 396 Original Exercises 397 Index of Definitions 405 Copyright

### 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.