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Page 70 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.
Page 32 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.
Page 8 - Every body continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by forces impressed upon it.
Page 7 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Page 54 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 21 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Page 31 - If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram.
Page 60 - The area of a triangle is equal to one-half the product of its base and altitude.