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" The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Page 72
by John Playfair - 1856 - 318 pages
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...CD bisects AB, in pt. F. Wherefore, if a str. line, &c. PROP. LI. THEOR. 16. 3 Eu. A straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle; and no straight line can be drawn from the extremity between that straight...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...remote : and the greater is nearer to the centre than the less. PROP. XVI. THEOREM The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity between that straight...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...convenient way of finding the centre of a circle traced out on a plane surface. 2. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity, between that straight...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1848 - 606 pages
...convenient way of finding the centre of a circle traced out on a plane surface. 2. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity, between that straight...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...straight line EH less than EK. Wherefore the diameter, &c. QED PROP. XVI. THEOR. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; and no straight line can be drawn between that straight line and the circumference...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...rectilineal angle. QED COR. From this it is manifest, that the straight line which is drawn at right angle* to the diameter of a circle from the extremity of...did meet the circle in two, it would fall within it (iii. 2). Also, it is evident that there can be but one straight line which touches the circle in the...
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...frf) I. 12. (e) I. 19. 0 I. Def. 15. COROLLARY. Hence it is manifest that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, touches the circumference of the circle, and that it touches it only in one point ; and further, that only one...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...less than any rectilineal angle." QED Con. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, touchas the circle ; and that it touches it only in one point, because, if it did meet the circle in...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...straight line EH less than EK. Wherefore, the diameter, &c. ui;.n. PROP. XVI. - THEOREM. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle; and no straight line can be drawn between that straight line and the circumference...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...it in one point only, because if it met the circle in two t 2 III. points, it would fall within it.f Also it is evident that there can be but one straight line which touches a circle in the same point. PROPOSITION XYII,— PROBLEM. To draw a straight line from a given point,...
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