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" 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... "
A companion to Euclid: being a help to the understanding and remembering of ... - Side 61
av Euclides - 1837 - 88 sider
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1849 - 317 sider
...; and, conversely, the farther the chord is from the centre, the shorter it is. PROP. XVI. THEOR. * The straight line drawn at right angles to the diameter...falls without the circle ; and no straight line, can lie drawn between that straight line and the circumference, from the extremity of the diametfr, so...
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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 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 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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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...the farther the chord is from the centre, the shorter it is. PROP. XVI. THEOR. <T The straight lme drawn at right angles to the diameter of a circle,...straight line and the circumference, from the extremity of the diameter, so as not to cut the circle. In AE take any point F, join DF and let DF meet the circle...
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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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