 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...product of its altitude and half the sum of its bases. (Why ?) Theorem 3. Triangles, or parallelograms, which have an angle in one equal to an angle in the other, have the same ratio as the products of the including sides. Given two triangles ABC, A B'C', having... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...product of its altitude and half the sum of its bases. (Why ?) Theorem 3. Triangles, or parallelograms, which have an angle in one equal to an angle in the other, have the same ratio as the products of the including sides. Given two triangles ABC, A B'C', having... | |
 | Henry W. Keigwin - Geometry - 1898 - 250 pages
...altitude. 10. To construct a triangle, given the area, the base, and one angle. 11. If two triangles have an angle in one equal to an angle in the other, their areas are proportional to the products of the sides including the equal angles. [Place the AS... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...but Z) and E are not mid-points of 6, a. PROPOSITION III. 282. Theorem. Triangles, or parallelograms, which have an angle in one equal to an angle in the other, have the same ratio as the products of the including sides. AB B' Given two triangles ABC, AB'C', having... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...D and E are not mid-points of 6, a. PROPOSITION III. 0 282. Theorem. Triangles, or parallelograms, which have an angle in one equal to an angle in the other, have the same ratio as the products of the including sides. Given two triangles ABC, AB'C', having... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...parallel sides is 7 in. What is the other parallel side ? PROPOSITION VIII. THEOREM 613. Triangles that have an angle in one equal to an angle in the other, are to each other as the products of the including sides. Let To Prove &ABC and DEF have ZB = ZE. AABC_AB... | |
 | George William Myers - Mathematics - 1910 - 304 pages
...their sum; equivalent to their difference. PROPOSITION X 248. Theorem: The areas of two triangles that have an angle in one equal to an angle in the other, are in the same ratio as the product of the sides including the equal angles. Given: AA BC and AA'B'C',... | |
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FGL have an angle in one equal to an angle in the other, and their... 
