 | Euclides - 1853 - 176 pàgines
...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 abСd be a circle, of which the diameter is ad, and the centre e ; and let b С be nearer to the centre... | |
 | William Somerville Orr - 1854 - 534 pàgines
...QED PROPOSITION XY.— THEOREM. 27i« 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 E be the centre of the circle ABCD, and let BC be nearer to it than FG : the diameter AD is the greatest... | |
 | Euclides - 1855 - 270 pàgines
...is greater than one more remole : and the greater is nearer to the centre than the ¡ess. Let AB СD be a circle, of which the diameter is AD, and the centre E ; and let B С be nearer to the centre than F G. The diameter AD is greater than any other straight line B С,... | |
 | Great Britain. Committee on Education - 1855 - 976 pàgines
...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 a circle two straight lines be drawn, one of which cuts the circle and... | |
 | Euclides - 1856 - 168 pàgines
...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 is always greater...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 pàgines
...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 is always greater...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... | |
 | Euclides - 1860 - 288 pàgines
...B./D. 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...the greater is nearer to the centre than the less. Given a circle ABCD, of which the diameter is AD, and the centre E ; and BC a chord nearer to the centre... | |
 | Euclides - 1861 - 464 pàgines
...>D. 15. 33. The diain. is the greatest st. line in a © ; and of all others that nearer to the cen. is always greater than one more remote : and the greater is nearer to the cen. than the less. SCH. The longest chord is the diam. ; the shortest through a giveu . , tint perp.... | |
 | War office - 1861 - 714 pàgines
...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. 2. In a circle the angle in a semicircle is a right angle; but the angle in a segment greater than... | |
 | Euclides - 1862 - 172 pàgines
...ED PROP. XV.— THEOEEM. 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. (References— Prop. i. 12, 20; in. def. 5.) Let ABCD be a circle, of which the diameter is AD, and... | |
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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... 
