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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 ... - Side 77
av John Playfair - 1819 - 317 sider
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Minutes of the Committee of Council on Education, with Appendices, Volum 2

Great Britain. Committee on Education - 1848
...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 ..., Utgave 2

Great Britain. Council on Education - 1848
...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
...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 ...

Euclides, Thomas Tate - 1849 - 108 sider
...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 - 1850 - 390 sider
...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
...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 - 1853 - 147 sider
...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 ..., Del 1

Euclid - 1853 - 136 sider
...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 - 1853
...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
...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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