| Robert Simson - Trigonometry - 1762 - 488 pages
...equal c ; and the angle D'TY is equal ( to the angle GTS. therefore in the triangles DTY, GTS there are two angles in the one equal to two angles in the other, and one fide equal to one fide, oppolite to two of the equal rmgles, viz. DY to GS ; for they are the... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...angle BCK is equal to the angle EFN : Therefore, in the two triangles ECK, EFN, there are two angles in one equal to two angles in the other, each to each, and one fide equal to one fide adjacent to the equal angles in each, viz. BC equal to EF ; the other liJes... | |
| Euclid - 1781 - 552 pages
...equal c ; and the angle DTY is equal t to the angle GTS : Therefore in the triangles DTY, GTS there are two angles in the one equal to two angles in the other, and one fide equal to one^fide, oppofite to two of the equal angles, viz. DY to GSj for they arc the... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...vertical angles AED, CEB are equal a, and alfo the alternate angles EAD, ECB b, the triangles ADE, CEB have two angles in the one equal to two angles in the other, each to each : but the fides AD arid BC, which are opppfite tp equal angles in thefe trier 34. i. angles, are alfo... | |
| George Gregory - Philosophy - 1796 - 620 pages
...equal to GDC, QpM is equal to GDB but GDB is equal to MDq; in the two triangles QJD M, MD q, there are two angles in the one equal to two angles in the other, and one fide MD common to both, therefore QJM will be equal to My. The fame may be proved alfo of the... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...vertical angles AED, CEB are equal a, and alfo the alternate angles EAD; ECB'o, the triangles ADE, CEB have two angles in the one equal to two angles in the other, each to each : but the fides AD and BC, which are oppofite to equal angles in thefe triangles, are alfo equal c... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...equal c ; and the angle DTY is equal f to the angle GTS. therefore in the triangles DTY, GTS there are two angles in the one equal to two angles in the other, and one fide equal to one fide, oppofite to two of the equal angles, viz. DY to GS; for they are the... | |
| Charles Hutton - Mathematics - 1811 - 406 pages
...the angle ABD to the angle CDB, and the angle ADB to the angle CBD. Hence the two triangles, having two angles in the one equal to two angles in the other, have also their third angles equal (cor. 1, th. 17), namely, the angle A equal to the angle c, which... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...the angle ABD to the angle CDB, and the angle ADB to the angle CBD. Hence the two triangles, having two angles in the one equal to two angles in the other, have also their third angles equal (cor. 1, th. 17), namely, the angle A equal to the angle c, which... | |
| Edward Riddle - Nautical astronomy - 1824 - 572 pages
...ADB and С В D are equal. Therefore the triangles BD С and DBA are identical, (Theo. 2.) ; having two angles in the one equal to two angles in the other, and the side BD between the equal angles, common to both; the triangle ABD is therefore equal to the... | |
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