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. Science Examination Papers - Side 50af Great Britain. Education Department. Department of Science and Art - 1899Fuld visning - Om denne bog
| 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... | |
| 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... | |
| Euclid - 1781 - 552 sider
...other, have their fides about the equal angles reciprocally proportional : And parallelograms that **have one angle of the one equal to one angle of the other,** and their fides about the equal angles reciprocally proportional, are equal to one anther. Let AB,... | |
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