# Elementary Geometry

J.B. Lippincott Company, 1893

### Contents

 INTRODUCTION 9 EXERCISES ON BOOK I 49 BOOK II 55 THE CIRCLE RATIO INCOMMENSURABLES DOCTRINE OF LIMITS 65 EXERCISES ON BOOK II 76 55 82 BOOK IV 130
 BOOK V 149 EXERCISES ON BOOK V 169 SYLLABUS OF PLANE GEOMETRY POSTULATES AXIOMS 182 THE PLANE DIEDRAL ANGLES POLYEDRAL ANGLES 220 BOOK IX 290 EXERCISES ON BOOK IX 308

### Popular passages

Page 127 - The area of a rectangle is equal to the product of its base and altitude.
Page 196 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Page 131 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Page 245 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Page 278 - A lune is to the, surface of the sphere as the angle of the lune is to four right angles. Let...
Page 111 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Page 48 - The three perpendiculars from the vertices of a triangle to the opposite sides meet in the same point.
Page 57 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Page 34 - The sum of the three angles of any triangle is equal to two right angles.