Plane geometry (Google eBook)

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D. C. Heath & company, 1915 - History - 309 pages
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Page 165 - The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.
Page 206 - The areas of two similar triangles are to each other as the squares of any two homologous sides.
Page 165 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Page 82 - If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side.
Page 169 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 104 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Page 85 - If two triangles have two sides of one equal, respectively, to two sides of the other...
Page 203 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Page 298 - Prove that an equiangular polygon inscribed in a circle is regular if the number of sides is odd. Ex.
Page 193 - Two rectangles are to each other as the products of their bases and altitudes. For if R = a6, and R

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