 | John Keill - 1723 - عدد الصفحات: 444
...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 - عدد الصفحات: 280
...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 - 1733 - عدد الصفحات: 444
...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 - 1762 - عدد الصفحات: 488
...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 - عدد الصفحات: 492
...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 - عدد الصفحات: 462
...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 - عدد الصفحات: 338
...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... | |
 | Robert Simson - 1775 - عدد الصفحات: 534
...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... | |
 | Euclid - 1776 - عدد الصفحات: 326
...BC : Which was to be done. PROP. XIV. and XV. THEO R. EQJJ . AL parallelograms and triangles, having one angle of the one equal to one angle of the other, have the ftdes about 5 the equal angles reciprocally proportional ; and thefe parallelograms and triangles... | |
 | Euclid - 1776 - عدد الصفحات: 318
...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... | |
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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. 
