 | Euclides - 1838 - 264 pages
...&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 is always greater...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
...&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 is always greater...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
...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 is always greater...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
...&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 is always greater...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
...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 is always 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
...PROPOSITION XV. THEOREM. The diameter is Ihe greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater...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... | |
 | Euclides - 1848 - 52 pages
...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, is always greater...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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...PROPOSITION XV. THEOB. The diameter is the greatest straight-line in a circle ; and, of all others, that which is nearer to the centre is always greater...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,... | |
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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... 
