 | Euclid - 1781 - 552 pages
...PROP. XV. THEO R. Sc«N. HPHE diameter is the greateft ftraight line in a circfc ; .!, 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 lefs. Let ABCD de a circle, of which... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...ED , , .,. -PROP. XV. THE OR;;. THE diameter is the greateft ftraight 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 left.- --v ' . ":V. .:."... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...line BC which PROP. XV. THEOR. THE diameter is the greaterl ftraight 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 lefs. Let ABCD be a circle, of which... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...Q. E, D, PROP. XV. THEOR. See N. 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. •A 20. 1. Let ABCD be' a... | |
 | Euclides - 1816 - 588 pages
...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 remote : and the greater is nearer to the centre than the less. , Let ABCD be a circle, of... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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 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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...SeeN. 1 12. 1. 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 remote : and the greater is nearer to the centre than the less. Let ABCD be a circle, of which... | |
 | John Playfair - Geometry - 1836 - 148 pages
...lines, &c. QED PROP. VII. 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 remote ; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...= CD. PROPOSITION XV. Theorem. 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 the more remote; and conversely, the greater is nearer to the centre than the less. Part 1st. That the... | |
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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... 
