 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...  A Geometry Reader - Page 254by Julius J. H. Hayn - 1925 - 316 pagesFull view - About this book
 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...have already been given in articles 189, 190. THEOREM. 216. Two triangles, which have an angle in tlie one equal to an angle in the other, are to each other as the rectangles of tlie sides fig. l28.ru/ucA contain the equal angles ; thus, the triangle ABC (fig. 128)... | |
 | Adrien Marie Legendre - Geometry - 1825 - 276 pages
...have already been given in articles 189, 190. THEOREM. 216. Two triangles, which have an angle in the one equal to an angle in the other, are to each other as the rectangles of the sides i;ig. 123. which contain the equal angles; thus, the triangle ABC (fig. 128)... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...have already been given in articles 189, 190. THEOREM. 216. Two triangles, which have an angle in the one equal to an angle in the other, are to each other as the rectangles of the sides Fig. 128. which contain the equal angles; thus, the triangle ABC (fig. 128)... | |
 | John Radford Young - Euclid's Elements - 1827 - 246 pages
...triangles that shall be similar to each other. PROPOSITION XVI. THEOREM. Triangles having an angle in the one equal to an angle in the other, are to each other as the rectangles of their containing sides. Let the triangles ABC, DEF have the angle B in the one equal... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...have already been given in articles 189, 190. THEOREM. 216. Two triangles, which have an angle in the one equal to an angle in the other, are to each other as the rectangles of the sides Fig. 128. which contain the equal angles; thus the triangle ABC (fig. 128)... | |
 | Charles Waterhouse - Arithmetic - 1842 - 180 pages
...will be a mean proportional between the two segments. 20. Two triangles, which have an angle in the one equal to an angle in the other, are to each other as the rectangles of the sides, which contain the equal angles. 21. Two similar triangles are to each other... | |
 | Nicholas Tillinghast - Geometry, Plane - 1844 - 108 pages
...the parts into which it divides the hypotenuse. PROP. XIX. THEOREM. Triangles, having an angle in the one equal to an angle in the other, are to each other as the rectangle of the sides which contain the equal angle. Let the triangles ABC, CDE,have the equal angle... | |
 | Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...by double the diameter of the circumscribed circle. 10. Two triangles, -which have an angle in the one equal to an angle in the other, are to each other as uie rectangles of the sides, which contain (he equal angles. 11. Two similar triangles are to each... | |
 | Charles Waterhouse - Arithmetic - 1844 - 232 pages
...multiplied by double the diameter of the circumscribed circle. 10. Two triangles, which have an angle in the one equal to an angle in the other, are to each other as the rectangles of the sides, which contain the equal angles. 11. Two similar triangles are to each other... | |
 | George Clinton Whitlock - Mathematics - 1848 - 340 pages
...with (148).] Of PROPOSITION III. Two triangles, having an angle of the one equal to an (159) angle of the other, are to each other as the products of the sides about the equal angles. Let the equal apgles of the triangles A, B, be made vertical, and join the... | |
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