| Euclid, John Keill - Geometry - 1723 - 364 pages
...fubtended the homologous Sides \ which was to be demonftrated. PROPOSITION VII, THEOREM. If there are two **Triangles, having one Angle of the one equal to one Angle of the other** , and toe Sides about other Angles proportional; and if the remaining third Angles are either both... | |
| Euclid, André Tacquet - Euclid's Elements - 1727 - 239 pages
...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... | |
| Robert Simson - 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... | |
| Euclid - Geometry - 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... | |
| Robert Simson - 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 - Geometry, Plane - 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
...; 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... | |
| John Keill - Geometry - 1782 - 399 pages
...and the Sides that are about the equal Angles reciprocal) - are equal, which was to be demonftrated. **PROPOSITION XV. THEOREM. Equal Triangles, having one Angle of the one equal to one Angle of the** clber, leave, tbrir Sides about the equal Angles reciprocal ; and tbofe Triangles that have one Angle... | |
| Euclid - Euclid's Elements - 1789 - 272 pages
...with the triangle AGH (I. 7.) or ABC, as was to be fhewn. PROP. VI. THEOREM. If two triangles have **one angle of the one equal to one angle of the other,** and the fides about the equal angles proportional, the triangles will be equiangular. Let ABC, DEF... | |
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