 | John Playfair - 1842 - 332 Seiten
...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...greater than one more remote ; and the greater is nearer ti the centre than the less. O Let ABCD be a circle, of which the diameter is AD, and the centre E... | |
 | Euclides - 1845 - 546 Seiten
...Therefore equal straight lines, &c. QED PROPOSITION XV. THEOREM. The diameter is Ihe 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... | |
 | Euclid - 1845 - 218 Seiten
...equal straight * 6 AX. lines, &c. QED PROPOSITION 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... | |
 | Euclid, John Playfair - 1846 - 334 Seiten
...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... | |
 | Euclides - 1848 - 52 Seiten
...from the centre, are equal to one another. PROP. XV. THEOREM. 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. PROP. XVI. THEOREM The straight line drawn at right angles to the diameter of a circle, from... | |
 | Euclid, Thomas Tate - 1849 - 120 Seiten
...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... | |
 | 1851 - 268 Seiten
...do not bisect each other. 2. The diameter is the greatest straight line in a circle ; and of all the others, that which is nearer to the centre is always greater than the one more remote : and the greater is always nearer to the centre than the less. _ 3. To inscribe... | |
 | Euclides - 1853 - 146 Seiten
...Therefore, equal straight lilies, &c. QKII. PROP. XV. THEOREM. 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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 Seiten
...Therefore equal straight lines, etc. QED PROPOSITION XV. THEOB. The diameter is the greatest straight-line in a circle ; and, of all others, that which is nearer...: 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 EC be nearer to... | |
 | Euclid, John Playfair - 1853 - 336 Seiten
...to CD. PROP. XV. THEOR. The diameter is the greatest straight line in a circle ; and of all other A, 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... | |
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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... 
