 | Euclid, Isaac Todhunter - 1883 - 428 pàgines
...PROPOSITION 15. THEOREM. The diameter is the greatest straight line in a circle ; and, of all otJters, that which is nearer to the centre is always greater...greater is nearer to the centre than the less. Let ABCD bo a circle, of which AD is a diameter, and E the centre ; and let BG be nearer to the centre than... | |
 | Euclides, James Hamblin Smith - 1883 - 376 pàgines
...former. PROPOSITION XV. THEOREM. Tlie diameter is the greatest chord in a circle, and of all others that which is nearer to the centre is always greater than one ,mare remote ; and the greater is nearer lu the centre than the less. Let AB be a diameter of the s... | |
 | 1885 - 630 pàgines
...DBand CE are equal. 4. 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. Through a given point within a circle draw the least possible chord. Let ABCD be a circle, diameter... | |
 | Euclid, John Casey - 1885 - 340 pàgines
...in a circle ; and of the others, the chord (CD) which is nearer to the centre is greater than (EF) one more remote, and the greater is nearer to the centre than the less. Dem. — 1. Join OC, OD, OE, and draw the perpendiculars OG, OH ; then because O is the centre, OA... | |
 | Euclides - 1885 - 340 pàgines
...in a circle ; and of the others, the chord (CD) which is nearer to the centre is greater than (EF) one more remote, and the greater is nearer to the centre than the less. Dem. — 1. Join OC, OD, OE, and draw the perpendiculars OG, OH ; then because O is the centre, OA... | |
 | E. J. Brooksmith - 1889 - 356 pàgines
...and the acute angle. 6. 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. 7. In a circle the angle in a semicircle is a right angle, but the angle in a segment greater than... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pàgines
...circle. (2) Of all others, that which is nearer to the centre is greater than one more remote. (3) The greater is nearer to the centre than the less. Let ABCD be a 0 of which AD is a diameter and E the centre; and of the two chords BC, FG let BC be the nearer to... | |
 | Euclid - 1892 - 460 pàgines
...others, that which is nearer to the centre is greater than one more remote: conversely, the greater chord is nearer to the centre than the less. Let ABCD be a circle, of which AD is a diameter, and E the centre ; and let BC and FG be any two chords, whose perp. distances from... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 pàgines
...chords, that which is nearer to the centre is greater than one more remote. Conversely, the greater chord is nearer to the centre than the less. Let ABCD be a circle of which AD is a diameter, and E the centre ; and let BC and FG be any two chords, whose perp. distances from... | |
 | University of Toronto - 1900 - 1164 pàgines
...line in a circle; and, of all others, that which is nearer to the centre is always greater than the more remote ; and the greater is nearer to the centre than the less. (III. 15.) 5. In equal circles, equal angles stand on equal arcs, whether they be at the centres or... | |
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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... 
