Plane and Solid Geometry

American Book Company, 1899 - 384 páginas

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Página 103 - 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 147 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 65 - 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 45 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Página 62 - 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 59 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Página 81 - 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.
Página 45 - In an isosceles triangle the angles opposite the equal sides are equal.
Página 31 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Página 88 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.

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