| Tiberius Cavallo - 1803 - Liczba stron: 638
...die angle FGD is equal to the angle CGD; whence it follows, that the triangles DGC and DGF, Tiaving two angles of the one equal to two angles of the other, and a correfpondent fide, viz. DG, common, are equal in every refpect J ; * It is ufelefs to take notice... | |
| John Playfair, Euclid - 1804 - Liczba stron: 468
...by BD ; and becaufe the right angle BED is equal to the right angle BFD, the two triangles EBD, FBD have two angles of the one equal to two angles of the other ; and the fide BD, Which is oppofite to one of the equal angles in each, is common to both; therefore... | |
| Robert Simson - 1804 - Liczba stron: 530
...bifefted by BD, and that the right angle BED is equal to the right angle BFD, the two triangles EBD, FED have two angles of the one equal to two angles of the other, and the fide BD,' which is oppofite to cme of the TJ -Tf |N| eq*MfiB(fcgles in each, is common*"^ *... | |
| Charles Butler - 1814 - Liczba stron: 528
...(viz. at D,) and the angles ABD, CAD equal ', and also the side AD common ; these triangles therefore have two angles of the one equal to two angles of the other, each to each, but the common side AD not lying either between given, or opposite equal angles, the... | |
| Encyclopaedia Perthensis - 1816 - Liczba stron: 772
...oppofite angles. Con. i. Any two angles of a triangle are together lefi than two right angles. COR. 3. If two triangles have two angles of the one equal to two angles of the other, the remaining angle of the one is equal to the remaining angle of the other. Coa. 4. The two acute angles... | |
| 1816 - Liczba stron: 764
...oppofite angles. COR. ». Any two angles of a triangle are together lefs than two right angles. COR. 3. If two triangles have two angles of the one equal to two angles of the other, the remaining angle of the one is equal to the remaining angle of the other, COR. 4. The two acute angles... | |
| Daniel Cresswell - 1816 - Liczba stron: 352
...Elements is deduced from the twenty-fourth of that book. PROP. XVIII. (113.) Theorem. If two spherical triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, namely, the sides opposite to equal angles in each, and... | |
| Euclides - 1816 - Liczba stron: 588
...by BD, and that the right angle BED is equal to the right angle BFD, the two triangles • EBD, FED have two angles of the one equal to two angles of the other, and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
| John Playfair - 1819 - Liczba stron: 350
...the angle BAC is greater than the angle EDF. Wherefore, if tw» triangles, &c. QED PROP. XXVI. THEOR. If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal angles,... | |
| Peter Nicholson - 1823 - Liczba stron: 210
...parallel to CD, the alternate angles, GFE, FGH, are also equal; therefore the two triangles GEF, FHG, have two angles of the one equal to two angles of the other, each to each ; and the side FG, adjacent to the equal angles, common ; the triangles are therefore... | |
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