 | Charles Davies - 1850 - 238 σελίδες
...will be 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 - 1886 - 340 σελίδες
...angles 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 - 1854 - 520 σελίδες
...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 σελίδες
...(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... | |
 | Euclides - 1855 - 270 σελίδες
...the angle DTY is equal (I. 15) to the angle GT S. Wherefore in the triangles DTY and GTS there are two angles in the one equal to two angles in the other, and one side equal to one side, opposite to equal angles in each, viz., DY to GS ; for they are the... | |
 | Elias Loomis - 1858 - 256 σελίδες
...ECD CD 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 Hutton - 1860 - 1020 σελίδες
...'..^ ^ For, since the sides AB and DC are parallel, as also the i; л sides AD and BC (defin. :i:>), and the line BD meets them ; therefore the alternate...equal (th. 12), namely, the angle ABD to the angle CUB, and the angle ADB to the angle CBD. Hence the two triangles, having two angles in the one equal... | |
 | Eucleides - 1860 - 396 σελίδες
...(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... | |
 | Robert Potts - 1860 - 380 σελίδες
...equal to the right angle 1? FE; (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... | |
 | Euclides - 1862 - 172 σελίδες
...AFE is equal to the right angle BFE ; (I. def. 10) hence, 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... | |
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EBF, there are two angles in the one equal to two angles in the other, each to each ; and the... 
