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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
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 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 the point without (he circle and the diameter; and of the rest, that which is nearer to the least is always less than...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...nearer to that through the ceñiré is always greater than the more remote: but of those which fall upon the convex circumference, the least is that between...the circumference, one upon each side of the least. IX. If a point be taken within a circle, from which there fall more than two equal straight lines upon...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...nearer to that through the centre is always greater than the more remote : But of those which i 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...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 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...two equal straight lines can be drawn from the point to the circumference, one upon each side of the least. centre ; and the nearer to it is always greater...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...which passes through the centre, is always greater than the more remote; but of those which fall on the convex circumference, the least is that between...the circle and the diameter; and of the rest, that nearer to the least is always less than the more remote ; and only two equal straight lines can be...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 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...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...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...convex part of the circumference, the least is that, which, when prolonged, passes through the centre ; and of the rest, that which is nearer to the least is always less than one more remote : also two, and only two, equal straight lines can be drawn from the same point to...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...nearer to the one through the centre is always greater than one more remote: but of those which fall upon the convex circumference, the least is that between the point without the circle, and thediametei; and of the rest, that which is nearer to the least«i always less than one more remote:...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...those which fall upon the convex circumference, the least is that between the point on the exterior of the circle and the diameter ; and of the rest, that...two equal straight lines can be drawn from the point to the circumference, one upon each side of the least line. Let ABC be a circle, and D any point on...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...nearer to that through the centre is always greater than the more remote ; But of those which full upon the convex circumference, the least is that between...always less than the more remote : And only two equal stratght lines can be drawn from the point unto the circumference, one upon each side of the least....
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