| Henry Martyn Taylor - 1895 - 657 pagina’s
...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 - 1895 - 437 pagina’s
...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 - 1895 - 374 pagina’s
...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 - 1896 - 253 pagina’s
...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 - 161 pagina’s
...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 - 161 pagina’s
...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 - 1896 - 50 pagina’s
...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 - 1896 - 144 pagina’s
...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 - 1897 - 227 pagina’s
...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... | |
| 1898 - 208 pagina’s
...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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