| Euclid - Geometry - 1714 - 520 pages
...together) then is the remaining angle of the one equal to the remaining angle of the other. In like manner, **if two triangles have one angle of the one equal to one** of the other, then is the fumof the remaining angles of the one triangle equal to the fum of the remaining... | |
| 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 - 1728
...then is the remaining Angle of the one, equal to the remaining Angle of the other. In like manner, **if two Triangles have one Angle of the one, equal to one** of the other j then is the Sum of the remaining Angles of the one Triangle, equal to the' Sum of the... | |
| Euclid, John Keill - Geometry - 1733 - 393 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 - Euclid's Elements - 1751 - 384 pages
...together) then is the remaining angle of the one equal to the remaining angle of the.other. In like manner, **if two triangles have one angle of the one equal to one** of the other, then is the fum of the remaining angles of the one triangle equal to the fum of the remaining... | |
| Robert Simson - Trigonometry - 1762 - 466 pages
...BGC are together not lefs n than two right angles ; which is impoffible h. therefore the triangle ABC **is equiangular to the triangle DEF. Wherefore if two triangles, &c. Q^ED** PROP, Book VI. \^r«j PROP. VIII. THE OR. 8ee N. TN a right angled triangle, if a perpendicular be... | |
| Euclid - Geometry - 1765 - 464 pages
...angle at F : 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
...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 Triangle DEF;... | |
| Benjamin Donne - Geometry, Plane - 1775 - 159 pages
...the remaining 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... | |
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