| John Keill - 1782 - 476 Seiten
...Sides, the one greater than the other ; which was to be ckmonilrated. PROPROPOSITION XXVI. THEOREM. ff **two Triangles have two Angles of the one equal to...two Angles of the other, each to each, and one Side** of the one equal to one Side of the other, either the Side lying between the equal Angles, or which... | |
| Euclid, John Playfair - 1795 - 462 Seiten
...is equal to the right angle FCL : therefore in the two triangles FKC, FLC, there are tw6 angles of **one equal to two angles of the other, each to each, and** the fide FC, which is adjacent to the equal angles Bonk IV. ^ each, is common to both ; therefore the... | |
| Benjamin Donne - 1796 - 120 Seiten
...nwji be equal to the remaining angle of the other. THEOREM 15. If two triangles have two angles of **one equal to two angles of the other, each to each, and one** s1de of one equal to one D side side of the other, the triangles are equal in every refpcEl. — 20... | |
| Alexander Ingram - 1799 - 374 Seiten
...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 - 1803 - 638 Seiten
...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 Seiten
...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 Seiten
...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*"^ *... | |
| Euclid - 1810 - 554 Seiten
...angle MDE. Therefore in the two triangles HAB, MDE there are two angles in one equal to two angles in **the other, each to each, and one side equal to one side,** opposite to one of the equal angles in each, viz. HA equal to DM; therefore the remaining sides e JO.... | |
| Charles Butler - 1814 - 528 Seiten
...(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 triangles are... | |
| Daniel Cresswell - 1816 - 352 Seiten
...opposite to A, A', A", 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,... | |
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