| Āryabhaṭa - 1878
...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
...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... | |
| Elizabethan club - 1880
...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... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 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... | |
| Oxford univ, local exams - 1880
...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... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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.... | |
| 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 - 292 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.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 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... | |
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