# Elements of Plane Geometry

American Book Company, 1901 - Geometry, Modern - 247 pages
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### Contents

 PRELIMINARY DEFINITIONS 9 Adjacent angles 15 Problem 23 ADDITIONAL EXERCISES 71 Equiangular polygon 152 76 Angles adjacent 15 79 Equilateral polygon 152 96 alternate exterior 113
 Ratio 340 169 ADDITIONAL EXERCISES 173 Hypotenuse 43 178 Rays of pencil 512 194 ADDITIONAL EXERCISES 213 Polygon 152 220 Antecedents in proportion 404 Corollary 25 223 Scalene triangle 18 230

 ADDITIONAL EXERCISES 122 External division 506 129 Harmonical division 509 158 Radius 20 163 Hexagon 152 168

### Popular passages

Page 68 - 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.
Page 163 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Page 129 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Page 120 - If a quadrilateral is circumscribed about a circle, the sum of one pair of opposite sides is equal to the sum of the other pair.
Page 72 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Page 203 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Page 15 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Page 221 - Tangents to a circle at the middle points of the arcs subtended by the sides of a regular inscribed polygon...
Page 11 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Page 61 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.