| John Playfair - 1833 - 333 sider
...double of CG ; wherefore AB is equal to CD. Therefore equal straight lines, &c. QED PROP. XV. THEOR. **The diameter is the greatest straight line in a circle...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 - 183 sider
...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... | |
| Euclides - 1834
...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 - 513 sider
...: wherefore AB is equal to CD. Therefore, « equal straight lines," &c. QED 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 than one more remote / and the greater... | |
| 1835
...(i) Every diameter divides the circle and its circumference into two equal parts . . n ote 78 (с) **The diameter is the greatest straight line in a circle; and, of** others, that which is nearer to the centre is greater than the more remote ; also, the greater is nearer... | |
| John Playfair - 1836 - 114 sider
...double of CG; wherefore AB is equal to CD. Therefore, equal straight lines, &c. QED PROP. VII. THEOR. **The diameter is the greatest straight line in a circle...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 the centre... | |
| 1836 - 472 sider
...from the centre ; and those which are equally distant from the centre are equal to one another. XV. **The diameter is the greatest 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... | |
| John Playfair - 1837 - 318 sider
...to CG : But AB is double of AF, and CD double of CG ; wherefore AB is equal to CD. PROP. XV. THEOR. **The diameter is the greatest straight line in a circle...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 the centre... | |
| Andrew Bell - 1837 - 240 sider
...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...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 the centre... | |
| Euclides - 1837 - 88 sider
...Demonstration to Part 2nd. 1. Prove that AF* = CG*, and .'. AF = CG, 2. that AB = CD. PROPOSITION XV. Theorem. **The diameter is the greatest straight line in a circle...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... | |
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