Plane and Solid Geometry

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American Book Company, 1907 - Geometry - 412 pages
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Page 139 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.
Page 228 - An equiangular polygon inscribed in a circle is regular (if the number of its sides is odd) . 3.
Page 41 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 47 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Page 241 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex.
Page 146 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Page 12 - The straight lines are called the sides of the triangle, and their points of intersection are the vertices of the triangle.
Page 143 - A line parallel to one side of a triangle divides the other two sides proportionally.
Page 268 - If from the foot of a perpendicular to a plane a line be drawn at right angles to any line of the plane, and...
Page 340 - The lateral area of a circular cylinder is equal to the product of the perimeter of a right section of the cylinder by an element. Let S denote the lateral area, P the perimeter of a right section, and E an element of the cylinder AC.

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