Robbin's New Plane Geometry

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American Book Company, 1915 - Geometry, Plane - 264 pages
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Page 144 - 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 32 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.
Page 4 - An angle is said to be included by its sides. An angle is bisected by a line drawn through the vertex and dividing the angle into two equal angles. TRIANGLES 23. A triangle is a portion of a plane bounded by three straight lines. These lines are the sides. The vertices of a triangle are the three points at which the sides intersect. The angles of a triangle are the three angles at the three vertices. Each side of a triangle has two angles adjoining it. The symbol for triangle is "A".
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 173 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Page 53 - 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 234 - The circumferences of two circles are to each other as their radii, and their areas are to each other as the squares of their radii. Let R and R' be the radii of the circles, C and C" their circumferences, S and S' their areas. Inscribe in the two circles similar regular polygons ; let P and P...
Page 39 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Page 252 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex.

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