 | John Playfair - 1819 - 350 σελίδες
...straight lines, &c. Q, ED PROP. XV. THEOR. The diameter is the greatest straight line in a cirele ; and of all others• that which is nearer to the centre...; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which the diameter is AD, and the centre E ; and let BC be nearer to... | |
 | John Playfair - 1819 - 354 σελίδες
...Therefore equal straight lines, &c. Q, ED . f± PROP. XV. THEOR. The diameter is the greatest straight line in a circle ; and of all others, that which is nearer to Ike centre is always greater than one more remote ; and the greater is nearer to the centre than the.... | |
 | Euclides - 1821 - 294 σελίδες
...themselves are r= and .-. the given lines ar£ =. PROP. 15: THEOR. The diameter i& the greatest right line in a circle, and of all others that which is nearer to the centre is greater than the more remote. PART 1. The dianieter is greater than any other line. For connect the... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...Therefore equal straight lines, &c. UED Proposition XV. Tlteorem. The diameter is the" greatest straight line in a circle : and, of all others, that which is nearer to the centre is always greater than оце more remote ; and the greater is nearer to ;he centre than the less. Let ABCD be a circle of... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...diameter is the greatest straight line in a eirele ; and of all others, that whieh is nearer to the eentre is always greater than one more remote ; and the greater is nearer to the eentre than the less. Let ABCD be a eirele, of whieh the diameter is AD, and the eentre E; and let... | |
 | George Lees - 1826 - 276 σελίδες
...circle; and of all others, BC, FG ; BC, which is nearer to the centre, is always greater than FG, the one more remote, and the greater is nearer to the centre than the less. From the centre E, draw EH, EK, perpendiculars to BC, aCor.1.4.l.FG% and join EB, EC, EF ; and... | |
 | Robert Simson - 1827 - 546 σελίδες
...lines, &c. QED tHyR. t3Ax. t 6 Ax. SeeN. 1 12. 1. PROP. XV. THEOR. The diameter is the greatest straight line in a circle; and, of all others, that which is...: and the greater is nearer to the centre than the less. Let ABCD be a circle, of which the diameter is AD, and the centre E; and let BC be nearer to... | |
 | John Playfair - 1832 - 358 σελίδες
...CD. Therefore equal straight lines, &c. QED PROP. XV. THEOR. The diameter is the greatest straight line in a circle; and of all others, that which is...remote; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which the diameter is AD, and the centre E; and let BC be nearer to... | |
 | John Playfair - 1833 - 346 σελίδες
...CD. Therefore equal straight lines, &c. QED PROP. XV. THEOR. The diameter is the greatest straight line in a circle ; and of all others? that which is...nearer to the centre is always greater than one more r&mote ; and the greater is nearer to the centre than the less. Let ABCD be a circle, oC which the... | |
 | Euclid - 1833 - 216 σελίδες
...are also equal (8). PROP. XV. THEOR. The diameter is the greatest right line in a circle : Pig 22. and of all others that which is nearer to the centre is See N. greater than the more remote. Part. 1 . The diameter AB is greater than any other line ED. For... | |
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The diameter is the greatest straight line in a circle; and of all others, that which is nearer to the centre is always greater than one more remote; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which... 
