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" Assuming that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles... "
Elements of Plane Geometry - Page 202
by William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 263 pages
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...PROPOSITION VII. THEOREM. 261. The areas of two triangles having an angle of the one equal to an angle of the other, are to each other as the products of the sides including the equal angles. . Let ABC and ADE be two triangles, having Z A common. £> To prove that ——- = \...
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Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 pages
...construction correct. 5. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including those angles. (В) 1. The shadow cast on level ground by a church steeple is 27 meters long : at the...
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 pages
...construction correct. 5. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including those angles. (B) 1. The shadow cast on level ground by a church steeple is 27 meters long: at the...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...175. Problem. Proposition 176. Theorem. 212. Two triangles having 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. Hypothesis. In the A ABC and DEF, A ABC ABxAC Conclusion. A DEF DE x DF Proof. On AB...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...by the altitude. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. 412. The areas of two similar polygons are to each other as the squares of any two homologous...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...PROPOSITION VII. THEOREM. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Let the triangles ABC and ADE have the common angle A. A ABC ABX.AC To prove that Proof....
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...and perimeter 52. PROP. VIII. THEOREM. 321. Two triangles having 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 ZA common to A ABC and AB'C'. To Prove ABC_=ABxAC. AB'C" AB'xAC' Proof. Draw line...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 404 pages
...that include their equal angles ? theorem. Two triangles having 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. Data: Any two triangles, as ABC and DEC, having the common angle 0. To prove A ABC: A...
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Bulletin

Education - 1901 - 814 pages
...14 Prove that the areas of two triangles which have an angle of the one supplementary to an angle of the other are to each other as the products of the sides including the equal angles. L5 The radius of a circle is a ; show how to construct a contric circle whose area will...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...PROPOSITION VII. THEOREM. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. To prove that Proof. A Let the triangles ABC and ADE have the common angle A. A ABC -AB...
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