 If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. Given two triangles ABC and A'B'C', having the angle A equal to the angle A'.  The Elements of Plane Geometry - Side 180av Charles Austin Hobbs - 1899 - 240 siderUten tilgangsbegrensning - Om denne boken
 | George Albert Wentworth, George Anthony Hill - 1894 - 150 sider
...side and equal to onehalf of it. 4. The two tangents to a circle from an outside point are equal. 5. If two triangles have an angle of one equal to an angle of the other they are to each other as the product of the sides including the equal angles. 6. From the obtuse angle... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - 1894 - 416 sider
...triangle are given, the remaining side may be found from one of the three equations just written. Ex. 161. If two triangles have an angle of one equal to an angle of the other, the ratio of their areas equals the ratio of the products of the sides including the equal angles.... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 570 sider
...its other sides, an incorrect method. PROPOSITION VIII. THEOREM 308. The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including those angles. GIVEN — the triangles ADR... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 sider
...its other sides, an incorrect method. PROPOSITION VIII. THEOREM 398. The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including those angles. GIVEN — the triangles ADE... | |
 | Henry W. Keigwin - 1897 - 254 sider
...b : y : : c : z. .'. a : x : : b : y : : c : z. .'. the triangles 1 and 2 are similar. 240. COR. 1. 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. 241. COR. 2. If two triangles... | |
 | James Howard Gore - 1898 - 232 sider
...an acute angle of one equal to an acute angle of the other. 2. 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. 3. Two triangles are similar when the sides of one are... | |
 | Webster Wells - 1898 - 284 sider
...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. B -- fc Given, in &ABC and A' BC', To Prove A ABC and... | |
 | Harvard University - 1899 - 39 sider
...angles of one respectively equal to two angles of the other, the triangles are similar. THEOREM III. 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. THEOREM IV. If two triangles... | |
 | Webster Wells - 1899 - 424 sider
...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. THEOREM.... | |
 | William James Milne - 1899 - 258 sider
...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... | |
| |
