| Euclid, John Keill - Geometry - 1723 - 364 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 - 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... | |
| Euclid, John Keill - Geometry - 1733 - 397 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... | |
| Euclid - Geometry - 1765 - 464 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 - 399 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 - 159 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 - 520 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 - 1781 - 520 pages
...other, have their fides about the equal angles reciprocally proportional : And parallelograms that **have one angle of the one equal to one angle of the other,** and their fides about the equal angles reciprocally proportional, are equal to one anther. Let AB,... | |
| Euclid - Euclid's Elements - 1789 - 272 pages
...equiangular 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... | |
| Euclid, John Playfair - Electronic book - 1795 - 400 pages
...triangle DEF. Wherefore, if two triangles, &c. Q^ E. D f PROF. PROP. VII. THEO R. IF two 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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