 | Euclid - 1845 - 218 pàgines
...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... | |
 | Euclides - 1845 - 546 pàgines
...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... | |
 | Euclid, John Playfair - 1846 - 334 pàgines
...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... | |
 | Euclid, Thomas Tate - 1849 - 120 pàgines
...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 - 152 pàgines
...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 - 1853 - 400 pàgines
...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 - 176 pàgines
...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 - 146 pàgines
...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 - 270 pàgines
...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 - 288 pàgines
...(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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Again, because the angle at B is half a right angle, and FDB a right angle, for it is equal... 
