 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...greater than one more remote ; and (3.) the greater is nearer to the centre than the less. Let AllCD be a circle, of which the diameter is AD, and the...nearer to the centre than FG ; AD is greater than BC, and BC than FG. 1. From the centre draw (I. 12.) EH, EK perpendiculars to BC, FG, and join EB,... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...2. that AB = CD. 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 always greater than the more remote; and conversely, the greater is nearer to the centre than the less. Part 1st. That... | |
 | Euclides - 1838 - 264 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...E; and let BC be nearer to the centre than FG : AD shall be greater than any straight line BC, which is not a diameter, and BC shall be greater than FG.... | |
 | Robert Simson - Geometry - 1838 - 434 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...the greater is nearer to the centre than the less.* » See Note. Let ABCD be a circle, of which the dia- AB meter is AD, and the centre E ; and let BO... | |
 | Euclides - Geometry - 1841 - 378 pages
...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...E; and let BC be nearer to the centre than FG; AD shall be greater than ._ any straight line BC which is not a V diameter, and BC shall be greater than... | |
 | Euclides - 1842 - 316 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...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 centre... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...wherefore AB is equal to CD. PROP. XV. THEOR. The diameter is the greatest straight line in a circle ; and of all others, that which is nearer to the centre...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... | |
 | Euclides - 1845 - 546 pages
...straight lines, &c. QED PROPOSITION XV. THEOREM. The diameter is Ihe greatest straight line in a circle; and, of all others, that which is nearer to the centre...centre E; and let BC be nearer to the centre than FG. Then AD shall be greater than any straight line BC, which is not a diameter, and BC shall be greater... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...greatest chord : (2) of others, one nearer to the centre is greater than one more remote ; and (3) the greater is nearer to the centre than the less....: and let BC be nearer to the centre than FG ; AD i., greater than BC, and BC than FG. 1. From the centre draw (I. 12) EH, EK ^n-, perpendiculars toBC,... | |
 | Euclides - 1846 - 292 pages
...others, that which is nearer to the centre is greater than one more remote: and, conversely, the greatgr is nearer to the centre than the less. Let ABCD be...E, and let BC be nearer to the centre than FG : AD shall be greater than any straight line BC, which is not a diameter, and BC than FG. From 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... 
