| Civil service - 1871 - 258 pages
...drawn at right angles to the diameter of a circle from the extremity of it, touches the circle. 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,... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...by Euclid) of another case in which two triangles are equal in all respects. PROPOSITION E. THEOEEM. If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal; then, if the third angles in... | |
| Braithwaite Arnett - 1874 - 130 pages
...two sides produced, prove that the points B and C lie upon the circle of which PQ is the diameter. 9. 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... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...ratio of FB to GB\ and .-. cuts FG in B; ie iBPF= LAPP; .-. AP : PB as AF : FB; (vi. 2) THEOREM (</). If two triangles have one angle of the one equal to one angle of the other and the sides about two other angles proportional, then shall the triangles be equiangular... | |
| Euclides - 1874 - 342 pages
...ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION 6. — Theorem. 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,... | |
| L J V. Gerard - 1874 - 428 pages
...each other. Scholium. Equilateral triangles are similar to one another. THEOREM 26. (Eucl. VI. 7.) If two triangles have one angle of the one equal to one angle of the other, if the sides forming another angle be proportional, and if the third angle be acute... | |
| 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... | |
| 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... | |
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