| Euclid, André Tacquet - 1727 - عدد الصفحات: 280
...the firft Part. i PROP. XXVI. Theorem. IF two Triangles (XandZ) have two Angles equal&g. 2;. to two, one Angle of the one equal to one Angle of the other ( B to F and C to /), and one Side of one Equal to one of the other, whether it be that •which is... | |
| Euclid, John Keill - 1733 - عدد الصفحات: 444
...the Angle BAE is equal to the Angle GFL ; and BA is to AE as GF is to* FL. Now fmce ABE, FGL, are two Triangles, having one Angle of the one equal to One Angle of the other, and the Sides about the equal Angles proportional ; .the Triangle ABE will be * equiangular * doftbit.... | |
| Robert Simson - 1762 - عدد الصفحات: 488
...to the triangle DEF. Wherefore if the fides, &c. Q^ED PROP. PROP. VI." THEOR. TF two triangles have one angle of the one equal to one angle of the other, and the fides about the equal angles proportionals, the triangles fhall be equiangular, and fhall have... | |
| Euclid - 1765 - عدد الصفحات: 492
...rectangle under c E and cc, fo is the parallelogram AC, to the parallelogram cr . WWD If fhe're be two triangles having one angle of the one equal to one angle of the other : thofe triangles will be to one an•other in the ratios compounded of the ratio of the fides containing... | |
| John Keill - 1772 - عدد الصفحات: 462
...,'ed the hsmakgoui Sides ; which was to be demonltrated. PROPOSITION VII. THEOREM. If tbere are two Triangles, having one Angle of the one equal to one Angle of (be other, and the . , Sides about the other Angles proportional \ and if the remaining third Angles... | |
| Robert Simson - 1775 - عدد الصفحات: 534
...triangle DEF. Wherefore, if the fides, &c. QED PKOP. Book VI. PRO P. VI. THEO R. TF two triangles have one angle of the one equal to one angle of the other, and the ftdes about the equal angles proportionals, the triangles Shall be equiangular, and fhall have... | |
| Benjamin Donne - 1775 - عدد الصفحات: 338
...in one is equal to the remaining Angle in the other Triangle. 8 1. Co ROLL. 3. If two Triangles have one Angle of the one equal to one Angle of the other, then the Sum of the two remaining Angles of one Triangle is equal to the Sum of the two remaining Angles... | |
| Euclid - 1776 - عدد الصفحات: 318
...given right lines AB, BC : Which was to be done. PROP. XIV. and XV. THEO R. E^JJ AL parallelograms and triangles, having one angle of the one equal to one angle of the other y have the fides about the equal angles reciprocally proportional-, and theje parallelograms and triangles... | |
| Euclid - 1776 - عدد الصفحات: 326
...; therefore DEF is likewife equiangular to ABC. Wherefore, &c, PRO P. VII. THEO R. TF there are two triangles, having one angle of the one equal •*• to one angle of the other, and the fides about afecond angle of the one proportional to the fides about the correfpondent angle... | |
| Euclid - 1781 - عدد الصفحات: 552
...Wherefore, if two triingles, &c. Q^ED La PROP. Book Vt. V-'V"0 PROP. VII. THEO R. IF tw6 triangles have one angle of the one equal to one angle of the other, and the fides about two other angles proportionals, then, if each of the remaining angles be either... | |
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