| 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 - 412 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... | |
| 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... | |
| 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... | |
| Oxford univ, local exams - 1880 - 394 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... | |
| 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.... | |
| 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.... | |
| 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... | |
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