| William Chauvenet - 1893 - 340 pages
...hence AD BC 'AT? A'D' B'C' and we have ARC _ = 'AT? A'B'O' EXERCISE. Theorem. — Two triangles having **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. Suggestion. Let ADE and... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...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... | |
| John Macnie - Geometry - 1895 - 386 pages
...same diagram, show that rect. A E- (AB+ EBy^T? — Elf. PROPOSITION VIII. THEOREM. 341. Triangles that **have an angle of the one equal to an angle of the other,** are to each other as the rectangles contained by the sides including those angles. AD c A, D, a' Given:... | |
| 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... | |
| Joe Garner Estill - Geometry - 1896 - 168 pages
...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 - Geometry - 1896 - 68 pages
...trapezoid is equal to the product of the median by the altitude. 374. 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. 375. The areas of two similar... | |
| Joe Garner Estill - 1896 - 186 pages
...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 D. Pettee - Geometry, Plane - 1896 - 272 pages
...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... | |
| Henry W. Keigwin - Geometry - 1897 - 254 pages
...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... | |
| Yale University - 1898 - 212 pages
...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. (В) 1. The shadow cast on level... | |
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