 | Robert Simson - 1762 - 488 Seiten
...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 - 1775 - 534 Seiten
...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 Seiten
...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 - 1795 - 462 Seiten
...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 - 1796 - 620 Seiten
...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 - 1804 - 530 Seiten
...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 - 1812 - 620 Seiten
...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 - 1822 - 616 Seiten
...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 - 1824 - 572 Seiten
...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 - 1825 - 1046 Seiten
...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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BFE : (i. def. 10.) therefore, in the two triangles, EAF, EBF, there are two angles in the one equal to two angles in the other, each to each ; and the side EF, which is opposite to one of the equal angles in each, is common to both ; therefore the other... 
