# Chauvenet's Treatise on Elementary Geometry

J.B. Lippincott Company, 1887 - Geometry
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### Contents

 INTRODUCTION 9 EXERCISES ON BOOK I 49 THE CIRCLE RATIO INCOMMENSURABLES DOCTRINE OF LIMITS 65 THE PLANE 82 EXERCISES ON BOOK II 94 GONS 114 EXERCISES ON BOOK III 125 EXERCISES ON BOOK IV 146
 EXERCISES ON BOOK V 169 SYLLABUS OF PLANE GEOMETRY POSTULATES AXIOMS 182 GEOMETRY OF SPACE 194 12 201 49 215 POLYEDRONS 220 Copyright

### Popular passages

Page 38 - The sum of the three angles of any triangle is equal to two right angles.
Page 133 - The area of a rectangle is equal to the product of its base and altitude.
Page 249 - 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 117 - 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 29 - The perpendicular is the shortest line that can be drawn from a point to a straight line.
Page 282 - The area of a lune is to the surface of the sphere as the angle of the lune is to four right angles, or as the arc which measures that angle is to the circumference.
Page 214 - 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 54 - Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point not in the bisector is unequally distant from the sides of the angle...
Page 79 - An angle formed by a tangent and a chord is measured by one-half the intercepted arc.
Page 52 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.