| 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 - 524 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 - 210 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 - Geometry - 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 - 564 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 - 250 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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