Concrete Geometry for Beginners

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American Book Company, 1895 - Geometry - 201 pages
 

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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 169 - 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 173 - 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 99 - 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 128 - 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 72 - 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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