| Benjamin Donne - 1796
...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 - 351 sider
...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
...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 - 1804
...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*"^ *... | |
| Robert Simson - 1806 - 518 sider
...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... | |
| Charles Butler - 1814
...(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 - 294 sider
...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,... | |
| 1816
...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... | |
| Encyclopaedia Perthensis - 1816
...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... | |
| Euclides - 1816 - 528 sider
...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... | |
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