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### Popular passages

Page 82 - Prove analytically that the medians of a triangle meet in a point. 70. Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Page 88 - The median to the base of an isosceles triangle is perpendicular to the base.
Page 103 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Page 211 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Page 78 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Page 103 - A chord is a straight line joining the extremities of an arc.
Page 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Page 114 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.
Page 315 - Find the area of a regular hexagon inscribed in a circle whose diameter is twelve inches.
Page 241 - If two triangles have an angle of one equal to an angle of the other, and...