Plane and Solid Geometry

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American Book Company, 1907 - Geometry - 412 pages
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Page 141 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.
Page 30 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.
Page 42 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Page 148 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Page 79 - 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 230 - An equiangular polygon inscribed in a circle is regular (if the number of its sides is odd) . 3.
Page 43 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 49 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Page 14 - The straight lines are called the sides of the triangle, and their points of intersection are the vertices of the triangle.
Page 243 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex.

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