| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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.... | |
| 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... | |
| 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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