 | William Chauvenet - 1893 - 340 pages
...BC AB . B'C' A'B" 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 ABC... | |
 | Examinations - 1893 - 408 pages
...is measured by one half the intercepted arc. 1 2 5 Prove 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. 16 6 Prove that the area of... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...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 the parallelograms is equal to the ratio compounded of the ratios of the... | |
 | 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 of an... | |
 | John Macnie - Geometry - 1895 - 386 pages
...angle B, and angle B to angle C, then the figure is a parallelogram. 73. If two parallelograms have an angle of the one equal to an angle of the other, they are mutually equiangular. 74. A parallelogram whose diagonals are equal is a rectangle. 75. A... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...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 - 1896 - 186 pages
...third side increased 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)... | |
 | Joe Garner Estill - 1896 - 214 pages
...distances of which from two intersecting 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)... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...respectively ; show that 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... | |
 | George D. Pettee - Geometry, Modern - 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 of an... | |
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Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. 
