| Alexander Ingram - Trigonometry - 1799 - 374 pages
...Therefore, &c. Q^ ED COR. Likewife, if two folid angles be each contained by three plane angles, and have two angles of the one equal to two angles of the other, and thefe angles be in planes which have the fame inclination to one another ; the third angle of the... | |
| Tiberius Cavallo - Aeronautics - 1803 - 638 pages
...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... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...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*"^ *... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...; 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... | |
| John Playfair - Mathematics - 1806 - 320 pages
...greater-fhan the angle EDF. Wherefore, if two triangles, &c. Q, ED 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, or the sides opposite to the... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...angle EDF. Wherefore, if two triangles, &c. QED PROP. XXVI. THEOR. IF two triangles have two angles of 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, or the sides opposite to equal... | |
| Charles Butler - 1814 - 582 pages
...at D,) and the angles AlJD, 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 triangles are... | |
| Daniel Cresswell - Geometry - 1816 - 352 pages
...then, (IX.) . sin S s\n A sin «S'sin A .s\nS"s\nA" (235.) COR. 2. If two spherical triangles have two angles of the one equal to two angles of the other, each to each, or an angle of the one being equal to an angle of the other, if two other angles, one in each triangle,... | |
| Euclides - 1816 - 588 pages
...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... | |
| Encyclopaedia Perthensis - 1816 - 772 pages
...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... | |
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