# Plane Geometry: With Problems and Applications

Allyn and Bacon, 1918 - Geometry, Plane - 310 pages

### Contents

 INTRODUCTION 1 INDEX 307 2 RECTILINEAR FIGURES 33 MEASUREMENT 160 Theorems on Proportion 219
 Supplementary Topics 242 REGULAR POLYGONS AND CIRCLES 255 255 255 Copyright

### Popular passages

Page 228 - The area of a rectangle is equal to the product of its base and altitude.
Page 205 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Page 104 - A, from A to B, from B to C, and from C to...
Page 207 - Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points.
Page 85 - 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 46 INTERCEPTS BY PARALLEL LINES.
Page 35 - ADC, § 143 (two & are equal if two sides and the included Z of the one are equal, respectively, to two sides and the included Z of the other).
Page 220 - Euclidean geometry, it is logically necessary that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.
Page 261 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.
Page 209 - The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals.
Page 27 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.