# The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration and Trigonometry : Designed for Academies, Seminaries, High Schools, Normal Schools, and Advanced Classes in Common Schools

Sower, Barnes & Potts, 1868 - Geometry - 275 pages

### Contents

 Theorems 10 INTRODUCTION 13 BOOK I 21 Postulates 27 THEOREMS 83 Angles of Polygons 100 Definitions 110
 Practical Examples 128 Theorems 129 Practical Examples 144 THE THREE ROUND BODIES 155 LOGARITHMS 1 Theorems for Original Thought 52 Definitions 52

### Popular passages

Page 42 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 85 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Page 66 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 63 - The area of a parallelogram is equal to the product of its base and altitude.
Page 41 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Page 138 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 100 - At a given point in a straight line to erect a perpendicular to that line. Let AB be the straight line, and let c D be a given point in it.
Page 101 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Page 81 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 43 - In an isosceles triangle, the angles opposite the equal sides are equal.