Elements of Plane and Solid Geometry

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American Book Company, 1903 - Geometry - 384 pages
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Page 185 - Any two rectangles are to each other as the products of their bases by their altitudes.
Page 53 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Page 178 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Page 68 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Page 186 - The area of a rectangle is equal to the product of its base and altitude.
Page 201 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Page 72 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Page 11 - 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 61 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.
Page 17 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.

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