 | Euclides - 1848 - 52 pages
...are equal to one another. PROP. XV. THEOREM. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer to the centre,...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... | |
 | 1851 - 268 pages
...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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 to the centre...which the diameter is AD, and the centre E ; and let EC be nearer to the centre than FG : AD is greater than any straight line BC, which is not a diameter,... | |
 | Sir James Kay-Shuttleworth - Church and education - 1853 - 554 pages
...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 - Geometry - 1853 - 176 pages
...lines, &e. QED PROPOSITION XV. — THEOREM. The diameter is the greatest straight line in a circle, and 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... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...equal chords, &c. QED PROPOSITION XY.— THEOREM. 27i« diameter is the greatest chord in a circle : and of all others, that which is nearer to the centre...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 greatest... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...joins them shall fall within the circle. 2. 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 the one more remote : and the greater is nearer to the centre than the less. 3. If from any point without... | |
 | Euclides - 1855 - 270 pages
...touches them at these points, PROP. XV. THEOREM. The diameter is the greatest straight line in a circle ; and, of all others. that which is nearer to the centre is greater than one more remole : and the greater is nearer to the centre than the ¡ess. Let AB СD be... | |
 | Euclides - 1856 - 168 pages
...and CD are equal. LVIII.— EUCLID III. 15. The diameter is the greatest straight line in a circle, and of all others that which is nearer to the centre...greater is nearer to the centre than the less. Let A BCD (Fig 46) be a circle of which' the diameter is AD and centre E, and let BC, FG be any straight... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...is in the line which bisects the other. 7. The diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre...the greater is nearer to the centre than the less. BOOKS IV. VI. For Candidates for Honors. 1. INSCRIBE in a given circle a triangle equiangular to a... | |
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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... 
