| William Chauvenet - 1893
...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 ABC be the two triangles.... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 138 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... | |
| John Macnie - Geometry - 1895 - 374 pages
...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: Two triangles,... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 540 pages
...sides by one of 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 and ABC placed so... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry, Plane - 1896
...sides by one of 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 and ABC placed so... | |
| Joe Garner Estill - 1896 - 161 pages
...point on the circumference, is twelve units. Find the diameter of the circle. 5. Two triangles having **an angle of one equal to an angle of the other are to each other** as the product of the sides including the equal angles. 6. Find the ratio of the radius of a circle... | |
| Joe Garner Estill - Geometry - 1896 - 144 pages
...point on the circumference, is twelve units. Find the diameter of the circle. 5. Two triangles having **an angle of one equal to an angle of the other are to each other** as the product of the sides including the equal angles. 6. Find the ratio of the radius of a circle... | |
| George D. Pettee - Geometry, Plane - 1896 - 253 pages
...of the triangles formed by the perpendicular ? PROPOSITION VIII 255. Theorem. Two triangles having **an angle of one equal to an angle of the other are to each other** as the products of the sides including the equal angles. Appl. Cons. Dem. Prove ABC = AB x AC ADE AD... | |
| Joe Garner Estill - 1896 - 161 pages
...BA is perpendicular to A C. 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 of a triangle... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896
...Hint. — Combine §135 with the above proposition. PROPOSITION VIII. THEOREM 3f)8. The areas of two **triangles which have an angle of one equal to an angle of** thc other are to each other as the products of the sides including those angles. GIVEN—the triangles... | |
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