 | Robert Potts - Geometry - 1876 - 446 pages
...is equiangular to the triangle DEF. \Vherefore, if two triangles, &c. QED PROPOSITION VII. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the tides abnut two other angles proportionals; then, if each of the remaining... | |
 | Richard Wormell - 1876 - 268 pages
...D : F . ,(and D :E = A :B j 5- {andB = mF } then A - В = m (D _ F) EUCLID.-BOOK VI. Prop. Page 7. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals, then if each of the remaining... | |
 | 1878 - 632 pages
...supplement of double the angle AFD. 3. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular to one another, and shall hare those angles equal which are opposite to the homologous sides. The point... | |
 | J. G - 1878 - 408 pages
...on the one are to one another in the same ratio as the corresponding intercepts on the other. " 7." If two triangles have one angle of the one equal to one angle of the other, and the sides about one other angle in each proportional, so that the sides opposite... | |
 | Āryabhaṭa - 1878 - 100 pages
...angle- is perpendicular to tlie base. Hence an angle can be bisected. PROP, xxxin. THEOREM. (E. 6. 17). If two triangles have one angle of the one equal to one angle of the other and their sides about the equal angles proportionals, Tie triangles are equiangular... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...segments of the circle. 11. Inscribe an equilateral and equiangular quindecagon in a given circle. 12. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...If AB, BC are sides of the hexagon, prove that the square on AC is three times the square on AB. 10. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles are similar.... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles &c. QED PROPOSITION 7. THEOREM. If two triangles have one. angle of the one equal to one angle of the other, and the sides about two other angles proportionals; then, if each of the remaining... | |
 | Elizabethan club - 1880 - 156 pages
...equal to the square on the line which meets it, the line which meets shall touch the circle. 49 10. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular... | |
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If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. 
