# The Eclectic School Geometry

Amer. Book Company, 1884 - Geometry - 149 pages
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### Contents

 INTRODUCTION 7 Axioms and Postulates 14 Triangles 24 Exercises 34 Polygons 46 Problems in Construction 64 Loci 74 Proportion 88
 Exercises 102 Exercises 108 SOLID GEOMETRY 119 Polyedrals 127 Pyramids and Cones 140 The Sphere 148 Copyright

### Popular passages

Page 58 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Page 25 - If two triangles have two sides of the one equal to two sides of the...
Page 48 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Page 36 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Page 54 - It follows, then, that the area of a circle is equal to half the product of its circumference and its radius.
Page 61 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Page 87 - The areas of two triangles which have 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 34 - The area of any parallelogram is equal to the area of a rectangle having the same base and altitude.
Page 81 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Page 44 - The area of a regular polygon is equal to half the product of its apothem and perimeter.