 | John Keill - 1723 - 444 sider
...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 sider
...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 - 444 sider
...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 - 488 sider
...equiangular to the triangle DEF. Wherefore if the fides, &c. Q^ED PROP. PROP. VI." THEOR. TF two triangles have one angle of the one equal to one angle of the other, and the fides about the equal angles proportionals, the triangles fhall be equiangular, and fhall have... | |
 | Euclid - 1765 - 492 sider
...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 sider
...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 - 1775 - 338 sider
...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 - 534 sider
...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 - 1776 - 318 sider
...fides about the equal angles reciprocally proportional-, and theje parallelograms and triangles that have one angle of the one equal to one angle of the other , and the fides about the equal angles reciprocally proportional 9 are equal, viz. the parallelogram... | |
 | Euclid - 1776 - 326 sider
...likewife equiangular to ABC. Wherefore, &c, PRO P. VII. THEO R. TF there are two triangles, having one angle of the one equal •*• to one angle of the other, and the fides about afecond angle of the one proportional to the fides about the correfpondent angle... | |
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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. 
