| 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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