Plane Geometry

American Book Company, 1899 - Geometry, Modern - 242 pages
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Contents

 Lines and Surfaces 10 Axioms 18 Parallel Lines 27 Triangles 38 Quadrilaterals 60 Polygons 68 Summary 74 Circles 83
 Summary 122 Ratio and Proportion 135 Proportional Lines and Similar Figures 147 Summary 167 Summary 202 BOOK VI 213 Maxima and Minima 230 Summary 237

 Measurement 98
 21 241

Popular passages

Page 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Page 105 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Page 46 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Page 74 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
Page 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Page 53 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Page 61 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Page 126 - DE and on the same side of it ; but equal triangles on the same base, and on the same side of it, are between the same parallels ; [I.
Page 90 - Theorem. In the same circle, or in equal circles, equal chords are equally distant from the center; conversely, chords equally distant from the center are equal.
Page 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.