 | Peter Nicholson - 1825 - 1046 páginas
...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 which the diameter is AD, and the centre Б ; and let BC be oearer to the centre than FG ; AD is greater than any straight line BC which is... | |
 | George Lees - 1826 - 276 páginas
...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 - 1827 - 546 páginas
...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 is always greater...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 - 1829 - 548 páginas
...&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...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... | |
 | John Playfair - 1829 - 210 páginas
...greater than one more remote ; and the greater line is nearer to the centre than the less. 1. Let A BCD be a circle, of which the diameter is AD, and the...nearer to the centre than FG; AD is greater than any line p BC, which is not a diameter, and BC is greater than FG. From the centre draw EH perp. to BC,... | |
 | Euclides - 1834 - 518 páginas
...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 páginas
...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.... | |
 | 1836 - 488 páginas
...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,... | |
 | Euclid, James Thomson - 1837 - 410 páginas
...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,... | |
 | Andrew Bell - 1837 - 290 páginas
...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 is always greater...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... | |
| |
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... 
