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... than the more remote: but of those which fall upon the convex circumference, the least is that between the point without the circle and the diameter; and, of the rest, that which is nearer to the least is always less than the more remote: and only...
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 64
by Euclid - 1835 - 513 pages

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...

## A Supplement to the Elements of Euclid

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...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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,...

## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

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,...

## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

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...

## The Edinburgh encyclopaedia, conducted by D. Brewster, Volume 7

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...

## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

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...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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,...

## Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

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,...

## The Elements of Euclid; viz. the first six books, together with the eleventh ...

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...