 | Sir John Leslie - 1809 - 522 páginas
...and if the line terminate inG between EandH, it will, for the same reason, be less than AE. Cor. That point from which more than two equal straight lines can be drawn to the circumference, is the centre of the circle. PROP. X. THEOR. One circle will not cut another in more than two points.... | |
 | Sir John Leslie - 1820 - 488 páginas
...the line terminate in G between E and H, it will, for the same reason, be less than AE. Cor. 1. That point from which more than two equal straight lines can be drawn to the circumference, is the centre of the circle. Cor. 2. Hence a circle will not cut another in more than two points. PROP.... | |
 | Euclid, James Thomson - 1837 - 410 páginas
...which is not the centre, only two equal straight lines (III. 7.) can be drawn to the circumference, and therefore a point from which more than two equal...circumference, cannot be any other than the centre. Therefore a point, &c. * * Dr. Simson's proof of this proposition is essentially wrong ; as, according to it,... | |
 | Euclides - 1840 - 82 páginas
...can be drawn equal to them from the same point to the circumference. PROP. IX. THEOR. In a circle, a point from which more than two equal straight lines can be drawn to the circumference, must he the centre of the circle. PROP. X. THEOR. The circumferences of circles which intersect each... | |
 | Euclides - 1841 - 378 páginas
...drawn to the circumference (vii. iii.); therefore the point from which more than two equal straigh t lines can be drawn to the circumference, cannot be any other than the centre. Dr. Simson's demonstration of this proposition is open to objection; because, by assuming different... | |
 | Euclid, James Thomson - 1845 - 382 páginas
...which is not the centre, only two equal straight lines (III. 1) can be drawn to the circumference, and therefore a point from which more than two equal...circumference, cannot be any other than the centre. Therefore a point, &c.* PROP. X. THEOR. — One circle cannot cut another in more than two points. If it be possible,... | |
 | Euclid - 1853 - 176 páginas
...the center, straight lines be drawn to the circumference. Idem. If a point be taken within a circle, from which more than two equal straight lines can be drawn to the circumference. If from any point without a circle straight lines be drawn to the circumferIdem. If from a point within... | |
 | Euclides - 1855 - 270 páginas
...centre, only two equal straight lines {III. 7) can be drawn to the circumference. Therefore a point front which more than two equal straight lines can be drawn to the circumference, is the centre. Wherefore the point D ¡s the centre of the circle ABС. Exercise. — Give a direct... | |
 | James Maurice Wilson - 1868 - 150 páginas
...straight lines can be drawn from A to the circumference, one on each side of the shortest normal. COR. 2. A point from which more than two equal straight lines can be drawn to a circumference must be the centre. THEOREM 10. INTERSECTION OF CIRCLES. The line that joins the centres... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 páginas
...therefore AF is not equal to AD. QED Cor. (Euc. III. 9). — Hence a point within the circle front which more than two equal straight lines can be drawn to the circumference must be the centre. £KOP. V.— THEOREM. (Euc. III. 26, 27.) Tn equal circles, or in the same circle,... | |
| |
If from a point within a circle more than two equal straight lines can be drawn to the circumference, that point is the centre of the circle. 
