| Euclid, John Keill - Geometry - 1723 - 436 pages
...reci frotalt are equal between themfelves. if - • • . * • T ET the equal Triangles ABC, ADE, **have one •*-' Angle of the one equal to one Angle of the other,** viz the Angle BAC equal to the Angle DAE. I lay the Sides about the equal Angles are reciprocal, th.it... | |
| Euclid, André Tacquet - Euclid's Elements - 1727 - 280 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... | |
| Euclid, John Keill - Geometry - 1733 - 446 pages
...is equal to the Angle GFL ; and BA is to AE, as GF is to F L. Therefore the two Triangles BAE, GFL, **have one Angle of the one equal to one Angle of the other,** viz. the Angle BAE equal to the Angle GFL, and the Sides about the equal Angles proportional. Wherefore... | |
| Robert Simson - Trigonometry - 1762 - 488 pages
...equiangular 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 - 492 pages
...and accordingly the triangles ABC, DBF are equiangular. . .v : ... .- ..: If therefore two triangles **have one angle of the one equal ,to one angle of the** othsr, and the fides about two other angles proportional, and have alfo each of the remaining angles... | |
| John Keill - Geometry - 1772 - 462 pages
...are equal; which was to be demonftrated. tl PROPOSITION XV. . ry, 1 HEORE M. Equal Triangles, having **one Angle of the one equal to one Angle of the other, have** tbeir ' Sides about tbe equal Angles reciprccal ; and thofe -Triangles that have one Angle of the one... | |
| Benjamin Donne - Geometry, Plane - 1775 - 336 pages
...Angle 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... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...the 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... | |
| Euclid - Geometry - 1776 - 318 pages
...fides about the equal angles reciprocally proportional-, and theje parallelograms and triangles that **have one angle of the one equal to one angle of the other** , and the fides about the equal angles reciprocally proportional 9 are equal, viz. the parallelogram... | |
| Euclid - Geometry - 1776 - 326 pages
...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... | |
| |