| Robert Simson - Trigonometry - 1762 - 488 pages
...the angle f. if. i. 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,** aid one fide equal to one fide, oppolite to two of the equal angles-, viz. DY to GS ; for they are... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...and the angle l)TY is equal f to the angle G PS : Therefore in the triangles D l"Y, GTS tlv;re are **two angles in the one equal to two angles in the other,** and one lide equal to one fide, oppofite to two of the equal angles, viz.. DY to GS ; for they are... | |
| 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,... | |
| 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... | |
| 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 - 1812 - 620 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. l,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... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...and the angle DTY, is equal (IS. 1.) 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 side equal to one side, opposite to two of the equal angles, viz. DY to GS ; for they are the... | |
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