| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...is nearer to that through the centre is always greater than the more remote: but of those which fall **upon the convex circumference, the least is that between...two equal straight lines can be drawn from the point** into the circumference, one upon each side of the least. Let ABC be a circle, and D any point without... | |
| Daniel Cresswell - Euclid's Elements - 1825 - 582 pages
...the convex circumference of the less, the least is that, which, produced, passes through the centre ; **and of the rest, that, which is nearer to the least, is always less than the more remote.** VII. PR. To. draw, in a given circle, a chord, which shall be equal and parallel to a given finite... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...the least is that between the point without the eirele, and the diameter; and of the rest, that whieh **is nearer to the least is always less than the more remote : And only two equal straight lines** ean be drawn from the point unto the eireumferenee, one upon eaeh side of the least. Let ABC be a eirele,... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...but of those which fall upon the convex circumference, the least is that between the point ivithout **the circle and the diameter ,• and of the rest}...that which is nearer to the least is always less than** one more remote: and only two equal straight lines can be drawn from the same point to the circumference,... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...the one passing through the centre is always greater than one more remote : but of those which fall **upon the convex circumference, the least is that between...diameter; and of the rest, that which is nearer to** (he least is always less than the more remote. (Eue. iii. 8. part of.) The parts of the circumference... | |
| Edinburgh encyclopaedia - 1830 - 832 pages
...conjugate axis between the focus and nearest vertex, and the greatest is the remainder of that axis ; **and of the rest, that which is nearer to the least is** less than that mort remote •}. Lines drawn from either focus to the curve, making equal angles with... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
...is nearer to that through the centre is always greater than the more remote: But of those which fall **upon the convex circumference, the least is that between the point without the** circle,andthe diameter; and of the rest, that which is nearer to the least is always less than the... | |
| John Playfair - Euclid's Elements - 1833 - 333 pages
...nearer to that through the centre is always greater than the more remote ; But of those which fall **upon the convex circumference, the least is that between...equal straight lines can be drawn from the point unto** tlie circumference, one upon each side of the least. Let ABC be a circle, and D any point without it,... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...Proposition III. 8. of Simson, which shows that of straight lines from a point without the circle to the **circumference, the least is that between the point without the circle and the diameter** ; &c. PROP. XXII.— BOOK I. Considerable changes have been made in the details of this Proposition,... | |
| Euclides - 1834 - 518 pages
...the one passing through the centre is always greater than one more remote ; but of those which fall **upon the convex circumference, the least is that between...without the circle and the diameter; and of the rest,** 'hat which is nearer to the least is always less than one more remote ; and only two equal straight... | |
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