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" FGL have an angle in one equal to an angle in the other, and their... "
The Geometrical Companion, in which the Elements of Abstract Geometry are ... - Side 129
av George Darley - 1828 - 169 sider
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 346 sider
...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...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 sider
...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...
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The Elements of Geometry

Henry W. Keigwin - 1898 - 250 sider
...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...
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - 1899 - 265 sider
...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...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1899 - 412 sider
...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...
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Elements of Plane Geometry

Alan Sanders - 1901 - 260 sider
...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...
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Second-year Mathematics for Secondary Schools, Volum 2

George William Myers - 1910 - 304 sider
...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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