# Plane Geometry Developed by the Syllabus Method

American Book Company, 1909 - Geometry, Plane - 192 pages

### Contents

 RECTILINEAR FIGURES 15 POINTS LINES AND Surfaces 22 EQUALITY 28 V 39 LOCI AND CONCURrence 75 CIRCLES 87 CIRCLE THEOREMS 101 CONSTRUCTIONS USING CIRCLE THEOREMS 113
 BOOK III 119 PROPORTIONS 139 SIMILAR FIGURES 145 GENERAL EXERCISES 156 GENERAL 166 APPENDIX 183 INCOMMENSURABLE CASE 189 Copyright

### Popular passages

Page 48 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Page 70 - Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 73 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Page 172 - A line from the vertex of an isosceles triangle to any point in the base is smaller than the arms.
Page 49 - 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 102 - In the same circle, or in equal circles, if two arcs are equal, their central angles are equal; and conversely.
Page 41 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.
Page 161 - If the number of sides of a regular polygon inscribed in a circle be increased indefinitely, the apothem of the polygon will approach the radius of the circle as its limit.
Page 94 - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 181 - The triangle formed by joining the middle point of one of the non-parallel sides of a trapezoid to the extremities of the opposite side is equivalent to one-half the trapezoid.