In the same manner, it may be demonstrated that the straight lines EC, ED, are each of them equal to EA or EB ; therefore the four straight lines EA, EB, EC, ED, are equal to one another ; and the circle described from the centre E, at the distance of... Books 3-9 - Page 95by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| John Playfair - Trigonometry - 1806 - 311 pages
...same manner it may be demonstrated that the straight lines EC, ED are each of them equal to EA, or EB. **Therefore the four straight lines EA, EB, EC, ED are...equal to one another; therefore the circle described** from the centre E, at the distance of one of them, must pass through the extremities of the other three,... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...Book IV. demonstrated, that the straight lines EC, ED are each of them k— v— ' equal to EA or EB ; **therefore the four straight lines EA, EB, EC, ED are equal to one another** ; and the circle described from the centre E, at the distance of one of them, shall pass through the... | |
| Euclides - Geometry - 1816 - 528 pages
...Boo* IV. be demonstrated, that the straight lines EC, ED are each 1~"v^"' of them equal to EA or EB ; **therefore the four straight lines EA, EB, EC, ED, are equal to one another** ; and the circle described from the centre E, at the distance of one of them, shall pass through the... | |
| John Playfair - 1819 - 317 pages
...manner, it may be demonstrated, that the straight lines EC, ED are each of them equal to EA, or EB ; **therefore the four straight lines EA, EB, EC, ED are equal to one another** ; and the circle described from the centre E, at the distance of one of them, must pass through the... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...manner, it may be demonstrated, that the straight lines EC, ED are each of them equal to EA or EB; **therefore the four straight lines EA, EB, EC, ED are equal to one another** : and the circle described from the centre E, at the distance of one of them, shall país through the... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...manner it may be demonstrated that the straight lines EC, ED are each of them equal to EA, or EB : **therefore the four straight lines EA, EB, EC, ED, are equal to one another** ; and the circle described from the centre E, at the distance of one of them, will pass through the... | |
| Euclid, John Davidson - 1835 - 513 pages
...it may be demonstrated, that the straight ^ v*-' lines EC, ED are each of them equal to EA, or EB; **therefore, the four straight lines EA, EB, EC, ED are equal to one another** ; and the circle described from the centre E, at the distance of one of them, must pass through the... | |
| Robert Simson, John Playfair - Euclid's Elements - 1837 - 240 pages
...manner, it may be demonstrated that the straight lines EC, ED, are each of them equal to EA or EB ; **therefore the four straight lines EA, EB, EC, ED, are equal to one another** ; and the circle described from the centre E, at the distance of one of them, shall pass through the... | |
| Euclides - 1838
...similar manner it may be demonstrated that the straight lines EC, ED are respectively equal to EA, EB ; **therefore the four straight lines EA, EB, EC, ED are equal to one another** ; and th« circle described from the centre E, at the distance of one of them, will pass through the... | |
| Euclides - 1841
...* 6. 1. it may be demonstrated, that the straight lines EC, ED are each of them equal to EA or EB; **therefore the four straight lines EA, EB, EC, ED are equal to one another;** and the circle described from the centre E, at the distance of one of them, will pass through the extremities... | |
| |