| Euclides - 1727
...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... | |
| John Keill - Trigonometry - 1733 - 397 pages
...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, Euclid - Trigonometry - 1762 - 466 pages
...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... | |
| Euclides, David Gregory - Mathematics, Greek - 1765 - 464 pages
...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 - Geometry - 1772 - 399 pages
...,'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, Euclid - Trigonometry - 1775 - 520 pages
...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 - Mathematics - 1775 - 159 pages
...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 - Geometry - 1776 - 264 pages
...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 - Geometry - 1776 - 264 pages
...; 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 - 520 pages
...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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