| Euclides - 1816 - 588 pages
...angle AEC is therefore equal to the angle ACE h : But the * ^ *• angle AEC is equal to the outward **And opposite angle BAD ; and the angle ACE is equal to the alternate angle CAD** bi, Wherefore also the angle BAD is equal to the angle CAD; Therefore the angle BAC is cut into two... | |
| John Playfair - 1819 - 354 pages
...1.) to DA, and let BA produced meet CE in E. Because the straight line AC meets the parallels AD, EC, **the angle ACE is equal to the alternate angle CAD (29. 1.)** : But CAD, by the hypothesis, is equal to the angle BAD ; wherefore BAD is equal to the angle ACE.... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...equal to AE (9. 5.), and the angle AEC is therefore equal to the angle ACE (5. 1.). But the angle AEC **is equal to the exterior and opposite angle BAD ; and the angle** f . , ACE is equal to the alternate an- g DC gle CAD (29. 1.) : Wherefore also the angle BAD i9 equal... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...1.) to DA, and let BA produced meet CE in E. Because the straight line AC meets the parallels AD, EC, **the angle ACE is equal to the alternate angle CAD (29. 1.);** but CAD, by the hypothesis is equal to the angle BAD; wherefore BAD is equal to the angle ACE. Again,... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...to the outward and opposite angle BAD; and the angle ACE ú equal to the alternate angle CAD: (99. **1.) Wherefore also the angle BAD is equal to the angle CAD: Therefore the angle** ВАС is cut into two equal angles by the straight line AD. Therefore, if the angle, &c. QED equal... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...equal to AE (9. 0.), and the angle AEC is therefore equal to the angle ACE (5. 1.). But the angle AEC **is equal to the exterior and opposite angle BAD; and...angle ACE is equal to the alternate angle CAD (29.** l.): Wherefore also the angle BAD is equal totheangle CAD ; Therefore the angle BAG is eut into two... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...to the exterior and opposite angle BAThand theangleACE isequal to the alternate angle CAD (29. BDC . **1.): Wherefore also the angle BAD is equal to the angle CAD: Therefore the angle** BAG is cut into two equal angles by the straight line AD. Therefore, if the angle, &c. QED PROP. A.... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...equal to AE ' (9. 5.), and the angle AEC is therefore equal to the angle ACE (5. 1.) But the angle AEC **is equal to the exterior and opposite angle BAD ; and the angle ACE is equal to the alternate** an- JJ DC 'gle CAD (29. 1.) : Wherefore also the angle BAD is equal to the an. gle CAD : Therefore... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...equal to AE (9. 5.), and the angle AEC is therefore equal to the angle ACE (3. 1.). But the angle AEC **is equal to the exterior and opposite angle BAD; and...the angle ACE is equal to the alternate angle CAD** (21. 1.): Wherefore also the B angle BAD is equal to the angle D C ge s eqa CAD-. Therefore the angle... | |
| Euclid - 1835 - 540 pages
...AEC is therefore equal to the angle ACE": But the g •?• *• angle AEC is equal to the outward **and opposite angle BAD ; and the angle ACE is equal to the alternate angle CAD:*** Wherefore also, the angle BAD is equal to the angle CAD: Therefore, the angle BAG is cut into two equal... | |
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