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 - 1908Full view - About this book
| John Playfair - Mathematics - 1806 - 320 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,... | |
| Robert Simson - Trigonometry - 1806 - 546 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 - 1816 - 588 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 - 354 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 - 1046 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 - 546 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 - 1835 - 540 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... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 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 - 264 pages
...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 - Geometry - 1841 - 378 pages
...* 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... | |
| |