| John Keill - Geometry - 1782 - 476 pages
...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 - Euclid's Elements - 1795 - 462 pages
...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 - 118 pages
...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 - 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
...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*"^ *... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...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... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...angle BAC is 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...adjacent ' to the equal angles, or the sides opposite to** the equal angles in each ; then shall the other sides be equal, each to each, and also the third angle... | |
| Euclid - Geometry - 1810 - 554 pages
...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.... | |
| John Mason Good - 1813 - 722 pages
...XXVI. Theor. If two triangles have two angles of ont- equal to two angles of the other, each to eaoh; **and one side equal to one side, viz. either the sides...angles, or the sides opposite to equal angles in each** j then shall the other sides he equal, each to eacli ; and also the third angle of the one to the third... | |
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