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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 77
by John Playfair - 1819 - 317 pages
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1848 - 606 pages
...centre. State the most 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...without the circle ; and no straight line can be drawn from the extremity, between that straight line and the circumference, so as not to cut the circle....
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Report of the Committee of Council on Education (England and Wales ..., Issue 2

Great Britain. Council on Education - Education - 1848 - 596 pages
...centre of a circle traced out on a plane surface. 2. The straight line drawn at right angles to tho 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 line and the circumference, so as not to cut the circle....
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...angles to it, as not to cut the circle. COB. 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, touches the circle ; and that it touches it only in one point, because, if it did meet the circle in...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...angle less than any rectilineal angle." COB. '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, touches the circle; and that it touches it only in one point, because, if it did meet the circle in...
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Artis logicae rudimenta: with illustrative observations on each section by ...

Henry Aldrich - Logic - 1850 - 406 pages
...hypothetical syllogism, usually founded on a premiss deduced from a conditional Sorites. For instance ; If a straight line drawn at right angles to the diameter of a circle at its extremity does notfall without the circle, it falls within it; if it falls within it, it may...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...EK, and the 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...straight line and the circumference from the extremity, so as not to cut the circle; or, which is the same thing, no straight line can make so great an acute...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...straight Urne d/ra/wn at right a/nglee to the diameter of a circle, from the extremity of it, fous without the circle ; and no straight line can be drawn...straight line and the circumference from the extremity, so as not to oui the circle; or, which is the same thing, no straight line can make so great an acute...
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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...
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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 geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...straight line AB cuts the circle in no other point. XXIX. The perpendicular at the extremity of a diameter falls without the circle, and no straight line can be drawn between that and the circle so as not to cut the circle. Let AB (Fig. 21) be the diameter of a circle; C, the centre...
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