| 1851
...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
...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
...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
...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 - 147 sider
...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 - 500 sider
...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 - 317 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 ; 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 - 500 sider
...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
...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
...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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