Plane Geometry

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American Book Company, 1911 - Geometry, Modern - 303 pages
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Page 281 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides.
Page 184 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Page 5 - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 232 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Page 268 - S' denote the areas of two circles, R and R' their radii, and D and D' their diameters. Then, I . 5*1 = =!. That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Page 13 - If two angles of a triangle are equal, the sides opposite are equal.
Page 62 - If two triangles have two sides of one equal, respectively, to two sides of the other...
Page 28 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.
Page 226 - 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.
Page 76 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.

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