| Robert Simson - 1845 - 199 pagina’s
...angle at B is half a right angle, and FDB a right angle, for it is equal* to the interior and•29. :. **opposite angle ECB, the remaining angle BFD is half...angle at B is equal to the angle BFD, and the side DF** tof the side DB. 1 6. i. And because AC is equal to CE, the square of AC is equal to the square of... | |
| Robert Potts - 1845
...and opposite angle ECB, (i. 29.) therefore the remaining angle BFD is half a right angle ; wherefore **the angle at B is equal to the angle BFD, and the side DF** equal to the side DB. (i. 6.) And because AC is equal to CE, the square of AC is equal to the square... | |
| John Playfair - 1846 - 317 pagina’s
...angle GEF is half a right angle, and EGF a right angle, for it is equal (29. 1.) to the interior and **opposite angle ECB, the remaining angle EFG is half...DB. Now, because AC=CE, AC2=CE2, and AC2+CE2=2AC2.** BuL(47. 1.) AE2= AC2+CE2 ; therefore AE*=2AC2. Again, because EG=GF, EG2=GF2, and EG2+GF2=2GF2. But... | |
| Euclides - 1849 - 108 pagina’s
...Again, because the angle at B is half a right angle and FOB a right angle, for it is equal (i. 29.) **to the interior and opposite angle ECB, the remaining...at B is equal to the angle BFD, and the side DF to** (i. 6.) the side DB : And because AC is equal to CE, the square of AC is equal to the square of CE;... | |
| Euclides - 1852
...angle, and FDB a right angle, ° xxlx , i. for it is equal 0 to the interior and opposite angle ECU, **the remaining angle BFD is half a right angle; therefore...at B is equal to the angle BFD, and the side DF to** f the side DB: And because AC is equal to CE, the square of AC is equal to the square of CE; therefore... | |
| Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...Again, because the angle at B is half a right angle, and FDB a right angle, for it is equal (29. i.) **to the interior and opposite angle ECB, the remaining...is equal to the angle BFD, and the side DF to (6.** i.) the side DB. And because AC is equal to CE, the square of AC is equal to the square of CE ; therefore... | |
| Euclides - 1853
...right angle, and fdb a right angle, for it is equal (i. 29) to the interior and opposite angle e С b. **the remaining angle bfd is half a right angle ; therefore...at b is equal to the angle bfd, and the side df to** (i. 6) the side db: and because a С is equal to Сe, the square of a С is equal to the square of... | |
| Euclides - 1853
...Again, because the angle at B is half a right angle, and FDB a right angle, for it is equal (I. 29.) **to the interior and opposite angle ECB, the remaining angle BFD is half a right angle ; therefore** 7. The angle at B is equal to the angle BFD, and (I. 6.) the side DF is equal to the side DB. And because... | |
| Euclides - 1855
...interior and opposite angle E С B. Therefore the remaining angle BFD is half a right angle. Wherefore **the angle at B is equal to the angle BFD, and the side DF** (I. 6) to the side DB. Because AС is equal to СE, the square of AС is equal to the square of СE.... | |
| Euclides - 1860
...(L 6). Again, because the angle at B is half a right angle, and FDB a right angle, for it is equal **to the interior and opposite angle ECB, the remaining angle BFD is half a right angle** (I. 32) ; therefore the angle at B is equal to the angle BFD, and the side DF to the side DB. Now,... | |
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