THE straight line drawn at right angles to the diameter of a circle, from the extremity of... Books 3-9 - Page 37by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Euclid, Phillips - 1826 - 180 pages
...Wherefore in a circle, &c. QED PROPOSITION XVI. THEOREM. (Extracted from Dr. Simson's Edition.) The right **line drawn at right angles to the diameter of a circle from** the extremity of' it falls without the circle ; and no right line can be drawn between that right line... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 320 pages
...of EK, and the straight lineliHless than EK. Whereforq, the diameter, &$, QE J). PROP. XVI. THEOR. **The straight line drawn at right angles to the diameter of a** eirele, from the extremity of it, falls without the circle ; and no straight line ean be drawn between... | |
| Mathematics - 1836 - 472 pages
...is always greater than the more remote; and the greater is nearer to the centre than the less. XVI. **The straight line drawn at right angles to the diameter of a circle, from** the extremity of it, fulls without the circle ; and no straight line can be drawn between that straight... | |
| John Playfair - Euclid's Elements - 1836 - 471 pages
...of EK, and the straight line EH less than EK. Wherefore the diameter, &c. QED PROP. XVI. THEOR. iTke **straight line drawn at right angles to the diameter of a circle, from** the extremity of zY, falls without the circle ; and no straight line can be drawn between that straight... | |
| Euclides - 1837
...that BH > FK, 2. that EH" < EK" and .'. EH < EK. PROPOSITION XVI. (Argument ad absurdum). 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... | |
| Euclid - Geometry - 1837 - 390 pages
...circle. Therefore the straight line, &c. Cor. From this it is manifest, that the straight line which is **drawn at right angles to the diameter of a circle from its extremity,** touches (III. def. 1.) the circle; and that it touches it only in one point, because at every point... | |
| Euclid - Geometry - 1838 - 416 pages
...of EK, and the straight line EH less than EK. Wherefore the diameter, &c. Q,. ED , PROP. XVI. THEOR. **THE straight line drawn at right angles to the diameter of a circle, from** the extremity of if, falls without the circle ; and no straight line can be drawn between that straight... | |
| Euclides - 1841
...therefore BC is nearer* to the centre than FG. Wherefore, * 5 Def the diameter, &c. QED 3PROP. 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 from the extremity... | |
| Euclides - 1842
...square of EK, and the 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 on the exterior of the circle ; and no straight line can be drawn between... | |
| John Playfair - Euclid's Elements - 1842 - 317 pages
...centre ; and> conversely, the farther the chord is from the centre, the shorter it is. 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... | |
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