# Plane Geometry

Scott, Foresman, 1915 - Geometry, Plane - 277 pages
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### Contents

 Preliminary Statement 7 Symbols and Abbreviations 16 Fundamental Principles 29 Triangles 38 Axioms of Equality 45 Quadrilaterals 61 Inequalities 69 Concurrent Lines 80
 AREAS OF POLYGONS 145 The Parallelogram 155 Practical Methods 162 Projection 169 General Exercises 180 PROPORTION AND SIMILARITY 187 Similarity 200 Similar Polygons 210

 Methods of Proof 89 General Exercises 96 THE CIRCLE 103 Tangents and Secants 110 Angle Measurement 116 Problems of Construction 125 Location of Points Loci 133 General Exercises 137
 Trigonometric Ratios 219 REGULAR POLYGONS MEASUREMENT OF CIRCLES 231 Measurement of the Circle 243 Computation of 7 250 Maxima and Minima 264 Symmetry 270 Copyright

### Popular passages

Page 153 - In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other side upon it.
Page 189 - 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 139 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 233 - ... as the squares of their radii, or as the squares of their...
Page 80 - ... the third side of the first is greater than the third side of the second.
Page 148 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Page 94 - Theorem. In the same circle or in equal circles, equal chords are equidistant from the center; and of two unequal chords the greater is nearer the center. Given two equal © M, M ' , with chords AB = A'B', AE > A'B', and OC, OD, O'C' ±'s from center 0 to AB, AE, and from center O
Page 149 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.
Page 135 - The area of a rectangle is equal to the product of its base and altitude.
Page 148 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.