| Oxford univ, local exams - 1880 - 396 pages
...circle are equal to one another. 9. Define — .similar rectilineal figures, and reciprocal figures. **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... | |
| George Bruce Halsted - Measurement - 1881 - 266 pages
...rectangle from their ratio m:n, and its area E. f^jj l^g « = •»/ ; 0=-\l — . Ans. \ n \ m 521. **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 the third angles will be... | |
| Simon Newcomb - Geometry - 1881 - 418 pages
...produced portion of such sides is equal to the rectangle of the sides of the parallelogram. THEOREM 8. **If two triangles have one angle of the one equal to one** angle of the other, and the perpendiculars from the other two angles upon the opposite sides proportional,... | |
| Isaac Sharpless - Geometry - 1882 - 286 pages
...Therefore ABC, DEF are also equiangular, and therefore (V. 4) similar. 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 proportional, the triangles will be similar.... | |
| Euclides, James Hamblin Smith - 1883 - 376 pages
...shew that the lines BC, be divide each other in reciprocal proportion. And Conversely, Trianyks, which **have one angle of the one equal to one of the other, and** their sides about the equal angles reciprocally proportional, are eqiud to one another. Let the sides... | |
| University of Glasgow - 1883 - 438 pages
...square. What is the ratio of the radins of the circle to the side of the second square ? 12. Prove that **if two triangles have one angle of the one equal to one** angle of the other, and the sides about the equal angles proportional, the triangles are similar. 14.... | |
| Mathematical association - 1883 - 86 pages
...they are similar, and those angles which are opposite to the homologous sides are equal. THEOR. 5. **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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...proportional> but not their angles equal. VI. 7. In VI. 7 the enunciation is imperfect ; it should be, **"if two triangles have one angle of the one equal to one** angle of the other, and the sides about two other angles proportionals, to that the sides subtending... | |
| Euclides - 1884 - 434 pages
...construction : From AB cut off AO = HE, and through G draw OH || SC, meeting ACiAH. PROPOSITION 6. THEOREM. **If two triangles have one angle of the one equal to one** angle of the other, and the sides about these angles proportional, they shall be similar, those angles... | |
| Woolwich roy. military acad - 1884 - 148 pages
...produced, such that the angle ECD is equal to CED, CD will touch the circle described about ACB. ro. **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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