 | 1851 - 268 σελίδες
...lines cut one another, which do not both pass through the centre, they 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... | |
 | 1852 - 512 σελίδες
...straight lines cut one another, which do not pass through the centre, they 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... | |
 | Euclides - 1853 - 146 σελίδες
...CG; wherefore 5. AB is equal to CD. Therefore, equal straight lilies, &c. QKII. PROP. XV. THEOREM. 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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...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...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 the centre... | |
 | Euclides - 1853 - 176 σελίδες
...wherefore ab is equal to С d. Therefore equal straight lines, &e. QED PROPOSITION XV. — THEOREM. The diameter is the greatest straight line in a circle,...of all others that which is nearer to the centre is alivays greater tJюп one more remote, and the greater is nearer to the centre than the less. LET... | |
 | Sir James Kay-Shuttleworth - 1853 - 524 σελίδες
...lines cut one another, which do not both pass through the centre, they 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... | |
 | Euclid, John Playfair - 1853 - 336 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 ; and of all other A, that which is nearer to the centre is always greater than one more remote ; and the greater... | |
 | Sir James Kay-Shuttleworth - 1853 - 554 σελίδες
...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... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...AB = CD ; Л equal chords, &c. QED PROPOSITION XY.— THEOREM. 27i« 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 E be the centre of the circle ABCD, and let BC be nearer to it than FG : the diameter AD is the... | |
 | Great Britain. Committee on Education - 1855 - 976 σελίδες
...the circumference of a circle, the straight line which joins them shall fall within the circle. 2. The diameter is the greatest straight line in a circle...which is nearer to the centre is always greater than the one more remote : and the greater is nearer to the centre than the less. 3. If from any point without... | |
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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... 
