 | Euclides - 1821 - 294 pages
...and .-. the given lines ar£ =. PROP. 15: THEOR. The diameter i& the greatest right line in a circle, and of all others that which is nearer to the centre is greater than the more remote. PART 1. The dianieter is greater than any other line. For connect the... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...lines, &c. UED Proposition XV. Tlteorem. 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 оце more remote ; and the greater is nearer to ;he centre than the less. Let ABCD be a circle of... | |
 | George Lees - 1826 - 276 pages
...circle; and of all others, BC, FG ; BC, which is nearer to the centre, is always greater than FG, the one more remote, and the greater is nearer to the centre than the less. From the centre E, draw EH, EK, perpendiculars to BC, aCor.1.4.l.FG% and join EB, EC, EF ; and because... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...t3Ax. t 6 Ax. SeeN. 1 12. 1. PROP. XV. THEOR. The diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre...E; and let BC be nearer to the centre than FG: AD shall be greater than any straight fine BC, which is not a diameter, and BC shall be greater than FG.... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...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 nearer to the centre...than the less.* Let ABCD be a circle, of which the dinmeter is AD, and the centre E ; and let BC be nearer to the centre than FG ; AD is greater than... | |
 | Euclid - Euclid's Elements - 1833 - 216 pages
...are also equal (8). PROP. XV. THEOR. The diameter is the greatest right line in a circle : Pig 22. and of all others that which is nearer to the centre is See N. greater than the more remote. Part. 1 . The diameter AB is greater than any other line ED. For... | |
 | Euclides - 1834 - 518 pages
...diameter is the greatest straight line in a circle; See N. and, of all others, that which is nearer to ike centre is always greater than one more remote ; and the greater is • to the centre than the less. Let ABCD be a circle, of which the diameter is AD, and the centre... | |
 | Euclid - 1835 - 540 pages
...PROP. XV. THEOH. See N. The diameter is the greatest straight line in a circle : and, of all of hers, that which is nearer to the centre is always greater...centre E ; and let BC be nearer to the centre than _ FG ; AD is greater than any straight J* line BC which is not a diameter, and BC greater than FG.... | |
 | Mathematics - 1836 - 488 pages
...straight line in a circle ; and of all others, that which is nearest the centre is always greater than the more remote; and the greater is nearer to the centre than the less. XVI. The straight line drawn at right angles to the diameter of a circle, from the extremity of it,... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...; then,if A = C, B=D; or PROPOSITION XV. THEOREM. The 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 ABCD he a circle, of which the diameter is AD, and the centre E ; and let BC be nearer to the centre than... | |
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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... 
