 | Euclides - 1834 - 518 σελίδες
...diameter is the greatest straight line in a circle; See N. and, of all others, that which is nearer to ike centre is always greater than one more remote ; and the greater is • to the centre than the less. Let ABCD be a circle, of which the diameter is AD, and the centre... | |
 | Euclid - 1835 - 540 σελίδες
...PROP. XV. THEOH. See N. The diameter is the greatest straight line in a circle : and, of all of hers, that which is nearer to the centre is always greater.../ 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 - 1836 - 148 σελίδες
...CD. Therefore, equal straight lines, &c. QED PROP. VII. THEOR. The diameter is the greatest straight line in a circle ; and, of all others, that which...; 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... | |
 | 1836 - 488 σελίδες
...straight line in a circle ; and of all others, that which is nearest the centre is always greater than the more remote; and the greater is nearer to the centre than the less. XVI. The straight line drawn at right angles to the diameter of a circle, from the extremity... | |
 | John Playfair - 1837 - 332 σελίδες
...double of CG ; wherefore AB is equal to CD. 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... | |
 | Andrew Bell - 1837 - 290 σελίδες
...A + B = C -f D ; then,if A = C, B=D; or PROPOSITION XV. THEOREM. The diameter is the greatest chord in a circle ; and of all others, that which is nearer...; and the greater is nearer to the centre than the less. Let ABCD he a circle, of which the diameter is AD, and the centre E ; and let BC be nearer to... | |
 | Euclides - 1837 - 112 σελίδες
...CG*, and .'. AF = CG, 2. that AB = 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... | |
 | Euclides - 1838 - 264 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...: 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... | |
 | Euclides - 1841 - 378 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... | |
 | Euclides - 1842 - 316 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...; and the greater is nearer to the centre than the less. Let л BCD be a circle, of which the diameter is AD, and the centre E ; and let в c be nearer... | |
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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... 
