 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...other sides BC, CD, DA by twice the rectangle CD, DA, show that the angle ACB is obtuse. 6. Prove that the straight line drawn at right angles to the diameter...the extremity of it, falls without the circle ; and that no straight line can be drawn from the extremity, between that straight line and the circumference,... | |
 | Ainsworth Rand Spofford, Charles Annandale - Encyclopedias and dictionaries - 1901 - 578 pages
...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 n A in figure, which being continued at A, would merely touch and not cut the circle. In trigonometry... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...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 - Surveying - 1909 - 254 pages
...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.... | |
 | David Eugene Smith - Geometry - 1911 - 360 pages
...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... | |
 | Encyclopedias and dictionaries - 1918 - 582 pages
...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 - Encyclopedias and dictionaries - 1922 - 500 pages
...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 - Middle Ages - 1974 - 890 pages
...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 - History - 1987 - 594 pages
...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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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... 
