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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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Appleton's New Practical Cyclopedia: A New Work of Reference Based ..., Volum 6

Marcus Benjamin, Arthur Elmore Bostwick, Gerald Van Casteel, George Jotham Hagar - 1910
...circle or curve in one point, TANGlER TANSY and which being produced does not cut it; a straight lino drawn at right angles to the diameter of a circle, from the extremity of it, as HA in figure, which, being continued at A, would merely touch and not cut the circle. In trigonometry...
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The Teaching of Geometry

David Eugene Smith - 1911 - 339 sider
...to the circle. The enunciation of this proposition by Euclid is very interesting. It is as follows : The straight line drawn at right angles to the diameter of a circle at its extremity will fall outside the circle, and into the space between the straight line and the...
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Winston's Cumulative ... Encyclopedia: A Comprehensive Reference Book, Volum 10

1918
...which touches or meets a circle or curve in one point, and which being produced does not cut it ; a straight line drawn at right angles to the diameter of a circle, from the extremity of it, as HA in figure, which being continued at A, would merely touch and not cut the circle. In trigonometry...
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Winston's Cumulative Loose-leaf Encyclopedia: A Comprehensive ..., Volum 10

Thomas Edward Finegan - 1922
...which touches or meets a circle or curve in one point, and which being produced does not cut it ; a straight line drawn at right angles to the diameter of a circle, from the extremity of it, as HA in figure, which being continued at A, would merely touch and not cut the circle. In trigonometry...
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A Source Book in Medieval Science

Edward Grant - 1974 - 864 sider
...composed of indivisibles. 1 1. That is III. 16 of the Greek Euclid, the relevant portion of which reads: "The straight line drawn at right angles to the diameter of a circle from its extremity will fall outside the circle. ..." 12. Which reads: "If a straight line set up on a straight...
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Henry More. The Immortality of the Soul: Edited with an Introduction and Notes

Henry More - 1987 - 468 sider
...of Imagination: 'See Antidote, Book I, Ch 4, sect 2' [M]. 25/42 Euclide:Elements,Bk.lll, Prop. 16: 'The straight line drawn at right angles to the diameter of a circle from its extremity will fall outside the circle, and into the space between the straight line and the circumference....
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Mathematical Thought from Ancient to Modern Times: Volume 1

Morris Kline - 1990 - 428 sider
...to us from high school geometry. The following theorems are worthy of special note. Proposition 1 6. The straight line drawn at right angles to the diameter of a circle from its extremity will fall outside the circle, and into the space between the straight line and the circumference...
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The Scientific Letters and Papers of James Clerk Maxwell: Volume 1, 1846-1862

James Clerk Maxwell - 1990 - 776 sider
...powers of the foci. See Figs. [3,24, 3,25]. (16) Book III, Prop. XVI of Euclid's Elements: (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' (Elements: 85). For CY is the perpendicular to the tangent and (Prop....
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Vita Mathematica: Historical Research and Integration with Teaching

Ronald Calinger - 1996 - 359 sider
...advantage of avoiding any reference to the infinite. In Elements III, 16, for example, Euclid proves that "the straight line drawn at right angles to the diameter of a circle from its extremity will fall outside the circle."23 To do this, he supposes that the straight line AE falls...
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The Cambridge Companion to Galileo

Peter Machamer - 1998 - 462 sider
...Archive for the History of Exact Sciences, 1990,41/1:115-37. 93 Heath, Euclid's Elements, III, 16: "The straight line drawn at right angles to the diameter of a circle from its extremity will fall outside the circle, and into the space between the straight line and the circumference...
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