 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.  Elements of Solid Geometry - Page xiby William Herschel Bruce, Claude Carr Cody - 1912 - 110 pagesFull view - About this book
 | George Albert Wentworth - 1879 - 196 pages
...Ex. i. Show that two triangles which have an angle of the one equal to the supplement of the angle of the other are to each other as the products of the sides including the supplementary angles. Let A ABC and CDE have AACB and DCE supplements of each other. Place these A... | |
 | Elias Loomis - 1880 - 456 pages
...DC, the two segments of the diameter ; that is, AD2=BDxDC. PROPOSITION XXIV. THEOREM. Two triatigles, having an angle in the one equal to an angle in the other, are to each other as the rectangles of the sides which co-retain the equal angles. Let the two triangles ABC, ADE have the angle... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...both obtuse, the triangles are similar. Compare I. 96 - 100. 116. Two triangles having an angle of the one equal to an angle in the other are to each other as the rectangles of the sides containing the equal angles ; or (Fig. Art. 50) Draw D C. (47 ; 24 ; 21.) 117.... | |
 | Elias Loomis - Conic sections - 1880 - 452 pages
...the diameter ; that is, AD2=BDxDC. PROPOSITION XXIV. THEOREM. Two triangles, having an angle in liie one equal to an angle in the other, are to each other as the rectangles of the sides which contain the equal angles. Let the two triangles ABC, ADE have the angle... | |
 | Robert Fowler Leighton - 1880 - 428 pages
...opposite the second. State and prove the converse. 3. Define similar polygons. If two triangles have an angle in the one equal to an angle in the other and the sides about these angles proportional, the triangles are similar. Prove. 4. If in two similar... | |
 | George Albert Wentworth - 1881 - 266 pages
...Ex. 1. Show that two triangles which have an angle of the one equal to the supplement of the angle of the other are to each other as the products of the sides including the supplementary angles. 2. Show, geometrically, that the square described upon the sum of two straight... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...CBA + BAN. Complete the proof. 24. 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 in- _ eluding the equal angles. See Theo. VII. BAC : BAF = BC : BF(?). BAF : BEF = BA : BE (?). BAC... | |
 | Dalhousie University - 1888 - 212 pages
...which meet in Q, the lines drawn from Q to all the other angles bisect them. 7. If two triangles have an angle in the one equal to an angle in the other, and the sides about these equal angles proportional, then must the triangles be similar. 8. If two... | |
 | George Albert Wentworth - Geometry, Analytic - 1889 - 264 pages
...§370 * Ex. 292. The areas of two triangles which have an angle of the one supplementary to an angle of the other are to each other as the products of the sides including the supplementary angles. /, > . \- ' ' PLANE GEOMETRY. — BOOK IV. COMPARISON OF POLYGONS. PROPOSITION... | |
 | George Albert Wentworth - Geometry - 1896 - 296 pages
...inch ? Ex. 292. The areas of two triangles which have an angle of the one supplementary to an angle of the other are to each other as the products of the sides including the supplementary angles. Let the A ABC and A'B'C' have the A ACB and A'ffB' supplements of each other.... | |
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