 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...homologous sides. PROPOSITION XX. THEOREM 309. Two triangles are similar if an angle of the one is equal to an angle of the other, and the sides including these angles are proportional. A' Given in A ABC and A'B'C', ZA = ZA', and AB : A'B' = AC : A'C'. To prove A ABC... | |
 | 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... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...in the figure. Find the area of the cross section in square feet. 376. 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. Given AABC and ADEF with... | |
 | 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... | |
 | 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 respectively... | |
 | United States. Office of Education - 1921 - 1286 pages
...are 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 chords... | |
 | Education - 1921 - 1190 pages
...are 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 chords... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...formed is similar to the whole triangle. Prop. 80. Two triangles are similar when an angle of one is equal to an angle of the other and the sides including these angles are proportional. Prop 82. Two triangles are similar when their sides are respectively parallel to... | |
 | National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...are 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 chords... | |
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... 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. 
