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" Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides... "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 94
by Dennis M'Curdy - 1846 - 138 pages
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Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...between two segments * and y whose • difference is AB (see Fig. 434). FIG. 434 t34. If two triangles have an angle of one equal to an angle of the other, the ratio of the areas equals the ratio of the products of the sides that include the equal angles...
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...measurements are necessan ? 422 428 Given Whv? 400 27 HI 431. Theorem. // two triangles have an angle of one equal to an angle of the other and the including sides proportional, they are similar. Given A ABC and EKH having Zx = ,AB AC and...
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...a trapezoid equals the product of its altitude and its median. 375. Theorem. Two triangles that have an angle of one equal to an angle of the other are to each other as the products of the sides including the equal angles. 376. Theorem. The square...
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Elementary Functions and Applications

Arthur Sullivan Gale, Charles William Watkeys - Functions - 1920 - 464 pages
...one equal respectively to the angles of the other, the triangles are similar. (c) If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. (d) If two triangles have their sides...
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Plane Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...offsets and multiply the result by the distance between the offsets. Theorem 5 325. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the product of the sides including the angle of the first is to the...
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Bulletin, Issues 25-53

United States. Office of Education - 1921 - 1268 pages
...similar if (a) they have two angles of one equal, respectively, to two angles of the other; (6) they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 14. If two...
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Bulletin

Education - 1921 - 1198 pages
...similar Lf () they have two angles of one equal, respectively, to two angles of the other; (h] they have an angle of one equal to an angle of the other and the including aides are proportional; (c) their sides are respectively proportional. 14. If two...
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The Reorganization of Mathematics in Secondary Education

National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...similar if (a) they have two angles of one equal, respectively, to two angles of the other; (b) they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 14. If two...
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Solid Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...a trapezoid is one half the product of its altitude and the sum of its bases. 325. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the product of the sides including the angle of the first is to the...
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The Reorganization of Mathematics in Secondary Education: A Report of the ...

National Committee on Mathematical Requirements - Mathematical Association of America - 1923 - 680 pages
...similar if (a) they have two angles of one equal, respectively, to two angles of the other; (b) they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. Teachers should...
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