Chauvenet's Treatise on Elementary Geometry

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J.B. Lippincott, 1887 - Geometry - 322 pages
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Page 228 - The lateral area of a prism is equal to the product of the perimeter of a right section of the prism by a lateral edge. Let AD...
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 38 - The sum of the three angles of any triangle is equal to two right angles.
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...
Page 133 - The area of a rectangle is equal to the product of its base and altitude.
Page 52 - 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 211 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.
Page 214 - The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of the plane.
Page 116 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Page 187 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.

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