Chauvenet's Treatise on Elementary Geometry

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J. B. Lippincott Company, 1887 - Geometry - 322 pages

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Page 22 - In an isosceles triangle the angles opposite the equal sides are equal.
Page 133 - The area of a rectangle is equal to the product of its base and altitude.
Page 247 - A truncated triangular prism, is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Page 117 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Page 29 - The perpendicular is the shortest line that can be drawn from a point to a straight line.
Page 267 - A spherical angle is measured by the arc of a great circle described from its vertex as a pole and included between its sides (produced if necessary). Let AB, AC be arcs of great circles intersecting at A; AB...
Page 113 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 38 - The sum of the three angles of any triangle is equal to two right angles.
Page 210 - If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane. Let the planes BD and BC intersecting in the line AB be perpendicular to the plane PQ.
Page 54 - Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point not in the bisector is unequally distant from the sides of the angle...

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