Plane Geometry

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American Book Company, 1899 - 242 páginas
 

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Página 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Página 105 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 46 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Página 74 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
Página 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Página 53 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Página 61 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Página 126 - DE and on the same side of it ; but equal triangles on the same base, and on the same side of it, are between the same parallels ; [I.
Página 90 - Theorem. In the same circle, or in equal circles, equal chords are equally distant from the center; conversely, chords equally distant from the center are equal.
Página 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.

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