 | John Keill - 1723 - 444 pàgines
...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 - 1727 - 280 pàgines
...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 - 1762 - 488 pàgines
...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 - 492 pàgines
...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 - 1775 - 534 pàgines
...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 - 338 pàgines
...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 - 326 pàgines
...; 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 - 1776 - 318 pàgines
...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 - 1781 - 552 pàgines
...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 - 1782 - 476 pàgines
...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... | |
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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, and shall have those angles equal which are opposite to the homologous sides. 
