# Concrete Geometry for Beginners

American Book Company, 1895 - Geometry - 201 pages
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### Contents

 LINES AND ANGLES 9 CIRCLES 20 ARCS AND ANGLES 27 CUMULATIVE REVIEW No 1 89 QUADRILATERALS 97 RATIO AND PROPORTION 113 CUMULATIVE REVIEW No 3 125 POLYGONS 132
 43 164 52 165 65 167 89 180 97 181 113 182 132 184 146 186

 CIRCLES AND LINES 146 CUMULATIVE REVIEW No 4 160 27 163
 160 187 170 188

### Popular passages

Page 20 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Page 171 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Page 175 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Page 101 - Hence, the area of a trapezoid is equal to the product of its altitude by the line connecting the middle points of the sides which are not parallel.
Page 130 - A Polygon of three sides is called a Triangle; of four sides, a Quadrilateral; of five sides, a Pentagon ; of six sides, a Hexagon, etc.
Page 74 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Page 3 - The aim of the work is to awaken gradually, by simple and natural methods, the mathematical consciousness of the child, and to guide his perceptions in such a way as to lead him to lay a firm foundation for demonstrative geometry by means of his own observations and inventions.
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