Elementary and Constructional Geometry

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Longmans, Green, and Company, 1898 - 138 pages

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Page 111 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Page 66 - The straight line drawn through the mid-point of one side of a triangle parallel to the base bisects the other side.
Page 55 - Two triangles are congruent if the three sides of one are equal to the three sides of the other. Fig.
Page 49 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...
Page 91 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.
Page 100 - The square root of a number is one of the two equal factors of the number.
Page 115 - In general, any rectilinear figure, as ABC, is said to be inscribed in a circle, when its angular points are on the circumference; and the circle is then said to be circumscribed about the figure. An angle is said to be inscribed in a segment when its vertex is in the arc of the segment, and its sides pass through the extremities of the subtending chord. Thus, the angle BA C is inscribed in the segment BAC.
Page 86 - ABCD tends to become a parallelogram, having a base equal to ^ the circumference and an altitude equal to the radius.

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