 | Euclides - 1838 - 264 σελίδες
...AX. of CG ; wherefore AB is equalf to CD. Therefore equal straight lines, &c. QED 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... | |
 | Euclides - 1841 - 378 σελίδες
...*6Ax. 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:...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... | |
 | Euclides - 1842 - 316 σελίδες
...double of c G ; 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;...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 to the... | |
 | John Playfair - 1842 - 332 σελίδες
...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...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... | |
 | Euclid - 1845 - 218 σελίδες
...wherefore AB is equalIT to CD. Therefore equal straight * 6 AX. lines, &c. QED PROPOSITION 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... | |
 | Euclides - 1845 - 546 σελίδες
...to CD. (ax. 6.) Therefore equal straight lines, &c. QED PROPOSITION XV. THEOREM. The diameter is Ihe greatest straight line in a circle; and, of all others,...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... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...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... | |
 | Euclides - 1848 - 52 σελίδες
...centre; and those which are equally distant from the centre, are equal to one another. PROP. XV. THEOREM. The diameter is the greatest straight line in a circle...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 the extremity... | |
 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...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;...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... | |
 | 1867 - 336 σελίδες
...the circles which touch externally, and not be perpendicular to the line joining their centres. 2. The diameter is the greatest straight line in a circle ; and, of all others, that which is uearer to the centre is greater than one which is more remote ; and the greater is nearer to the centre... | |
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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... 
