 | Euclid - 1908 - 456 sider
...contained by the circumference CHA and the straight line AE. — PORISM. From this it is manifest that the straight line drawn at right angles to the diameter of a circle from its extremity touches the circle. 3 QED 4. cannot be interposed, literally "will not fall in between"... | |
 | Association of Ontario Land Surveyors - 1909 - 254 sider
...right angle ; and the angle in a segment less than a semi-circle is greater than a right angle. 7. 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.... | |
 | Marcus Benjamin, Arthur Elmore Bostwick, Gerald Van Casteel, George Jotham Hagar - 1910 - 610 sider
...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... | |
 | David Eugene Smith - 1911 - 360 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... | |
 | 1918 - 582 sider
...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... | |
 | Thomas Edward Finegan - 1922 - 500 sider
...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... | |
 | Edward Grant - 1974 - 890 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... | |
 | A. Jacob - 1987 - 594 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.... | |
 | Morris Kline - 1990 - 434 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... | |
 | James Clerk Maxwell - 1990 - 836 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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THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... 
