Plane Geometry

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Page 162 - The area of a rectangle is equal to the product of its base and altitude ; that is, A = ab. 443. Corollary 1. The area of a square is equal to the square of its side. 444. Corollary 2. Tiro rectangles are to each other as the products of their bases and altitudes.
Page 134 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Page 146 - If two polygons are composed of the same number of triangles, similar each to each, and similarly placed, the polygons are similar.
Page 134 - The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the sides of the angle.
Page 127 - If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion.
Page 133 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Page 49 - Only one line can be drawn through a given point parallel to a given line.
Page 100 - A line perpendicular to a radius at its extremity is tangent to the circle.
Page 67 - The perpendicular is the shortest line that can be drawn from a point to a straight line.
Page 148 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.

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