 | Webster Wells - Algebra - 1890 - 560 pages
...are similar, as also are the triangles EOG and COD ; for, by Geometry, two triangles are similar when they have an angle of one equal to an angle of the other, and the including sides proportional. Then the figure OFEG is similar to OBDC, and hence OFEG is a parallelogram. Therefore OE represents... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...PROPOSITION XV. Two triangles which are mutually equiangular are similar. PROPOSITION XVI. If two triangles have an angle of one equal to an angle of the other, and the side* including the equal angles proportional, the triangles are similar. PROPOSITION XVII. Two triangles... | |
 | Electronic journals - 1922 - 560 pages
...limit to the number of independent solutions. We can also state now this theorem: // two triangles have an angle of one equal to an angle of the other, and if in each triangle the n-th power of the side opposite is equal to the sum of the n-th powers of the... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...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... | |
 | Joe Garner Estill - 1896 - 186 pages
...square on the median to that side. Amherst College, June, 1896. 1. Two triangles having an angle of the one equal to an angle of the other, and the including sides proportional are similar. 2. Inscribe a circle in a given triangle. 3. (1) When are two lines said to be incommensurable... | |
 | Joe Garner Estill - 1896 - 214 pages
...lines are to each other as 3 to 2. Amhcrst College, June, 1896. 1. Two triangles having an angle of the one equal to an angle of the other, and the including sides proportional are similar. 2. Inscribe a circle in a given triangle. 3. (1) When are two lines said to be incommensurable... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...their sides respectively proportional, they are similar. 326. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. 327. If two triangles have their sides respectively parallel, or respectively perpendicular,... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...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 - Geometry, Modern - 1896 - 276 pages
...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 - Geometry - 1897 - 254 pages
....'. 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... | |
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... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 
