 | Euclid, Isaac Barrow - 1714 - 536 стор.
...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 - 1723 - 444 стор.
...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 - 1727 - 280 стор.
...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 - 236 стор.
...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 - 1733 - 444 стор.
...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 - 1751 - 420 стор.
...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 - 1762 - 488 стор.
...to be done. a. 1i. i. b. 31.3, Book VI. v^rvw . PROP. XIV. THE OR. "C1 QJJ AL 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 pa. rallelograms that have... | |
 | Euclid - 1765 - 492 стор.
...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 - 1772 - 462 стор.
...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; and becaufe BC... | |
 | Benjamin Donne - 1775 - 338 стор.
...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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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
