| Euclides - 1845 - 546 pages
...is equal to the right angle 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... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...AC and BD is equal to the sum of the squares of AB, BC, CD, DA. ECB (29. 1.), the triangles ADE, CEB **have two angles in the one equal to two angles in the other,** each to each j but the sides AD and BC, which are opposite to equal angles in these triangles, are... | |
| Euclides - 1846 - 292 pages
...right angle AFE is 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,** each to each, and the side EF, which is opposite to one of the equal angles in each, is common to both... | |
| Charles William Hackley - Geometry - 1847 - 248 pages
...the angle ABC to the angle BCD, and the angle ACB 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. 15), namely, the angle A equal to the angle D, which... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...BE to EC. are equal (Prop. XXIII.), and also the alternate angles EAB, EDC, the triangles ABE, DCE **have two angles in the one equal to two angles in the other,** each to each, and the included sides AB, CD are also equal; hence the remaining sides are equal, viz.:... | |
| Charles Davies - Geometry - 1850 - 238 pages
...equal (Th. xii) : that is the angle ADB-DBC and BDC=ABD. Hence, the two triangles ADB, BDC, having **two angles in the one equal to two angles in the other,** will have their third angles equal (Th. xvii. Cor. 1), viz. the angle A equal to the angle C, and these... | |
| Charles Davies - Geometry - 1850 - 218 pages
...(Th. xii) : that is the angle AD B— DBG and BDC—ABD. Hence, the two triangles ADB, BDC, having **two angles in the one equal to two angles in the other,** will have their third angles equal (Th. xvii. Cor. 1), viz. the angle A equal to the angle C, and these... | |
| Charles Davies - Geometry - 1886 - 340 pages
...will be equal (Th- xii) : that is the angle ADB=DBC and BDC=ABDHence the two triangles ADB BDC, having **two angles in the one equal to two angles in the other,** will have their third angles equal (Th- xvii- Cor- 1), viz- the angle A equal to the angle C, and these... | |
| Thomas Lund - Geometry - 1854 - 520 pages
...they are parallel to each other, and .-. t eab = tfbc. Hence in the two triangles aeb, bfc, there are **two angles in the one equal to two angles in the other,** each to each, and the side common to those angles in the one equal to the side which is common to the... | |
| Euclides - 1855 - 230 pages
...(c): 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... | |
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