| Euclid, John Keill - Geometry - 1723 - 442 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 - 462 pages
...qucntly, the Sides that are about the equal Angles of the Triangles ABG, DEF, are reciprocal : But thofe **Triangles that have one Angle of the one equal to one Angle of the other, and the** Sides about the equal Angles reciprocal, are J equal. Therefore the Triangle t ABG is equal to the... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...is found. Which was to be done. - *' ' PROP. Book VI. PROP. XIV. THEO R. EQUAL parallelograms which **have one angle of the one equal to one angle of the other,** have their fides about the equal angles reciprocally proportional: And parallelograms that have 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... | |
| Euclid - Geometry - 1776 - 318 pages
...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 - 550 pages
...parallelograms, &c. Q^ED PROP. Book VI. 14. r. • ..• J PRO P. XV. THEO R. QtJAL triangles which **have one angle of the one equal to one angle of the other,** have their fides >ut the equal angles reciprocally proportional : And Jangles which have one angle... | |
| John Keill - Geometry - 1782 - 399 pages
...one Angle of the other, have the Sides *ibout the equal Angles reciprocal; and tbofe Parallelograms **that have one Angle of the one equal to one Angle of the other, and the** Sides that are about the equal Angles reciprO' tal, are equal. TETAB, BC, be equal Parallelograms,... | |
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