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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 ... - Σελίδα 64
των Euclid - 1835 - 513 σελίδες
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...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...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 σελίδες
...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...

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

John Playfair - 1836 - 471 σελίδες
...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...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...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...

A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 σελίδες
...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...

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

Euclid, Robert Simson - 1838 - 416 σελίδες
...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...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...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...

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

Euclides - 1841 - 351 σελίδες
...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:...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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...

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

John Playfair - 1844 - 317 σελίδες
...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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