 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...the other are to each other as the products of the sides including the supplementary angles. Ex. 540. If two triangles have an angle of one equal to an angle of the other, and a second angle of one supplementary to a second angle of the other, the sides about the third angles... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...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. ' To prove that Proof. Now and A ABC AB X AC... | |
 | Education - 1901 - 814 pages
...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 be three times... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...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 sides.... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...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 X AC Now and... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...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' x AC' Proof. Draw line B'C. Then... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...the tests of similarity is satisfied. PROP. XVII. THEOREM. 261. Two triangles are similar when they have an angle of one equal to an angle of the other, and the sides including these angles proportional. A C B' Given, in A ABC and A'B'C', AC PBOP. XVIII.... | |
 | William James Milne - Geometry - 1899 - 398 pages
...to their altitudes. § 336 c. To the products of their bases by their altitudes. § 336 d. If they have an angle of one equal to an angle of the other, to the products of the sides including the equal angles. § 340 e. If they are similar triangles, to... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...to their altitudes. § 336 c. To the products of their bases by their altitudes. § 336 d. If they have an angle of one equal to an angle of the other, to the products of the sides including the equal angles. § 340 e. If they are similar triangles, to... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...I.) Similarly the other pairs of sides may be shown proportional, two and two. PROPOSITION IV 251. If two triangles have an angle of one equal to an angle of the other, and the sides including these angles proportional, the triangles are similar. BC Let ABC and A'B'C'... | |
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If two triangles have an angle of one equal to an angle of the other, and... 
