 | Tiberius Cavallo - 1803 - 638 sidor
...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 - 468 sidor
...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 - 530 sidor
...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 - 528 sidor
...(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... | |
 | Daniel Cresswell - 1816 - 352 sidor
...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 - 588 sidor
...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... | |
 | Daniel Cresswell - 1817 - 454 sidor
...straight line drawn from the vertex to the base, bisecting the vertical angle. PROP. XXXII. . • (xxvi.) If two triangles have two angles of the one equal to two angles of the other, the third angle of the one shall also be equal to the third angle of the other. (XXVII.) The angle at the... | |
 | John Playfair - 1819 - 350 sidor
...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 - 210 sidor
...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... | |
 | Peter Nicholson - 1825 - 1046 sidor
...takes place when in each triangle two sides respectively equal, form an equal angle ; and also when two angles of the one, equal to two angles of the other, are formed on an equal side. It is easy to demonstrate these propositions in the same manner as in... | |
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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. 
