 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...the ratios AB to DE and BC to EF. Wherefore, if two triangles &c. COROLLARY. If two parallelograms have an angle of the one equal to an angle of the other, the ratio of the areas of th« parallelograms is equal to the ratio compounded of the ratios of the... | |
 | George Albert Wentworth - Geometry - 1895 - 458 pages
...of these figures will be the area of the polygon. B PROPOSITION VII. THEOREM. 374. The areas of two triangles which have an angle of the one equal to an angle of tlie other are to each other as the products of the sides including the equal angles. Let the triangles... | |
 | John Macnie - Geometry - 1895 - 386 pages
...at the base of A ABC in Prop XI. are equal, how is the proposition modified ? 381. If two triangles have an angle of the one equal to an angle of the other, and the sides about another angle proportional, are they necessarily similar ? 382. In the diagram... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...circumferences at B and C respectively ; show that BA is perpendicular to AC. 4. 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, prove that the bisector of an angle... | |
 | Joe Garner Estill - 1896 - 214 pages
...segments is constant in whatever direction the chord is drawn. 6. Prove the ratio between the areas of two triangles which have an angle of the one equal to an angle of the other. Define area. 7. Define a regular polygon and prove that two regular polygons of the same number of... | |
 | Joe Garner Estill - 1896 - 186 pages
...segments is constant in whatever direction the chord is drawn. 6. Prove the ratio between the areas of two triangles which have an angle of the one equal to an angle of the other. Define area. 7. Define a regular polygon and prove that two regular polygons of the same number of... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...If two triangles have 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... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...by twice the 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)... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...an isosceles triangle with two given lines in the plane ? (1893.) 14. 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, prove that the bisector of an angle... | |
 | Mathematics - 1898 - 228 pages
...tangent to a given line at a given point B, and prove the 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... | |
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Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar. 
