| Euclid, John Playfair - 1804 - 440 sider
...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
...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
...(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... | |
| 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 angles... | |
| 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 angles... | |
| Daniel Cresswell - 1816 - 294 sider
...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 - 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... | |
| John Playfair - 1819 - 333 sider
...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
...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 - 372 sider
...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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