| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...CD bisects AB, in pt. F. Wherefore, if a str. line, &c. PROP. LI. THEOR. 16. 3 Eu. A straight line **drawn at right angles to the diameter of a circle, from the extremity of it,** falls without the circle; and no straight line can be drawn from the extremity between that straight... | |
| Euclides - 1848 - 52 pages
...remote : and the greater is nearer to the centre than the less. PROP. XVI. THEOREM The straight line **drawn at right angles to the diameter of a circle, from the extremity of it,** falls without the circle ; and no straight line can be drawn from the extremity between that straight... | |
| J. Goodall, W. Hammond - 1848 - 390 pages
...convenient way of finding the centre of a circle traced out on a plane surface. 2. The straight line **drawn at right angles to the diameter of a circle, from the extremity of it,** falls without the circle ; and no straight line can be drawn from the extremity, between that straight... | |
| Great Britain. Committee on Education - 1848 - 606 pages
...convenient way of finding the centre of a circle traced out on a plane surface. 2. The straight line **drawn at right angles to the diameter of a circle, from the extremity of it,** falls without the circle ; and no straight line can be drawn from the extremity, between that straight... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...straight line EH less than EK. Wherefore the diameter, &c. QED PROP. XVI. THEOR. The straight line **drawn at right angles to the diameter of a circle, from the extremity of it,** falls without the circle ; and no straight line can be drawn between that straight line and the circumference... | |
| Euclides - Geometry - 1853 - 176 pages
...rectilineal angle. QED COR. From this it is manifest, that the straight line which is drawn at right angle* **to the diameter of a circle from the extremity of...did meet the circle in two, it would fall within it** (iii. 2). Also, it is evident that there can be but one straight line which touches the circle in the... | |
| Euclid - Geometry - 1853 - 176 pages
...frf) I. 12. (e) I. 19. 0 I. Def. 15. COROLLARY. Hence 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** circumference of the circle, and that it touches it only in one point ; and further, that only one... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...less than any rectilineal angle." QED Con. 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,** touchas the circle ; and that it touches it only in one point, because, if it did meet the circle in... | |
| Euclides - 1853 - 146 pages
...straight line EH less than EK. Wherefore, the diameter, &c. ui;.n. PROP. XVI. - THEOREM. The straight line **drawn at right angles to the diameter of a circle, from the extremity of it,** falls without the circle; and no straight line can be drawn between that straight line and the circumference... | |
| William Somerville Orr - Science - 1854 - 534 pages
...it in one point only, because if it met the circle in two t 2 III. points, it would fall within it.f **Also it is evident that there can be but one straight line which touches** a circle in the same point. PROPOSITION XYII,— PROBLEM. To draw a straight line from a given point,... | |
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