| Robert Simson - Trigonometry - 1827 - 546 pages
...equal : and the angle DTY 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 side equal to one side, opposite to two of the equal angles, viz. DY to GS; for they are the... | |
| Ferdinand Rudolph Hassler - Geometry - 1828 - 180 pages
...ILK, and LKM, equal; the diagonal being common to the two triangles ILK, and KLM, these two triangles **have two angles in the one equal to two / angles in the other;** for, the angles I, and M, have been proved :' equal, and the side LK, opposite to these angles, is... | |
| John Playfair - Euclid's Elements - 1832 - 356 pages
...AED, CEB are equal (15. 1.), and also the alternate angles EAD, ECB (29. 1.), the triangles ADE, CEB **have two angles in the one equal to two angles in the other,** each to each; but the sides AD and BC, which are AD opposite to equal angles in these triangles, are... | |
| Euclid - 1835 - 540 pages
...is equal to the right angle BFE : Therefore, in the two triangles, EAF, EBF, • 1.3. b8. there are **two angles in the one equal to two angles in the other,** Book HI. and the side EF, which is opposite to one of the equal angles v— •Y"™-' in each, is... | |
| John Playfair - Euclid's Elements - 1836 - 488 pages
...angle AFE is d 5. 1. equal to the right angle BFE : Therefore, in the two triangles EAF, EBF, there are **two angles in the one equal to two angles in the other** ; and the side EF, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
| Andrew Bell, Robert Simson - Euclid's Elements - 1837 - 290 pages
...the sum of the squares of AC and BD is equal to the sum of the squares of AB, BC, CD, DA. CEB, hare **two angles in the one equal to two angles in the other,** each to each ; but the sides AD and BC, which are opposite to equal angles in these triangles, are... | |
| Euclides - 1838 - 264 pages
...tUAi. angle AFE is equalf to the right angle BFE: 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 *s6.... | |
| Dionysius Lardner - Curves, Plane - 1840 - 386 pages
...angle may be found by subtracting the sum of the two known angles from 180°. (57.) If two triangles **have two angles in the one equal to two angles in the other, the remaining** angles must be equal. (58.) A triangle cannot have more than one angle right or obtuse, and consequently... | |
| Euclides - Geometry - 1841 - 378 pages
...the right angle * 5. 1. AFE is equal to the right angle BFE: therefore, the two triangles EAF, EBF, **have two angles in the one equal to two angles in the other,** and the side EF, which is opposite to one of the equal angles in each, is common to both; therefore... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...AED, CEB are equal (15. 1.), and also the alternate angles EAD, ECB (29. 1.), the triangles ADE, CEB **have two angles in the one equal to two angles in the other,** each to each ; but the sides AD and BC, which are opposite to equal angles in these triangles, are... | |
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