# New Elementary Geometry, with Practical Applications

R. S. Davis & Company, 1875 - Geometry - 176 pages
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### Contents

 GENERAL PRINCIPLES 7 RATIO AND PROPORTION 34 THE CIRCLE AND THE MEASURE OF ANGLES 44 BOOK IV 68 PLANES AND POLYEDRONS 110 PAGE 138 PRACTICAL APPLICATIONS 139
 Mensuration of Lines and Surfaces 156 Mensuration of Volumes 167 34 168 44 175 104 139

### Popular passages

Page 22 - If two triangles have two sides of the one equal to two sides of the...
Page 29 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 83 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing these angles proportional, are similar.
Page 61 - At a point in a given straight line to make an angle equal to a given angle.
Page 47 - 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 88 - FIK are similar ; hence the similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.
Page 126 - The volume of any prism is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude of the prism DA'.
Page 117 - If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel.
Page 26 - If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line...
Page 41 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.