| Robert Simson - Trigonometry - 1762 - 488 pages
...angle lefs than any rectilineal angle." CoR. From this it is manifeft that the ftraight line which is **drawn at right angles to the diameter of a circle from the extremity of it,** touches the circle ; and that it touches it only in one point, becaufe if ci 3. it did meet the circle... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...remaining angle lefs than any rectilineal anCoR. From this it is manifeft that the ftraight line which is **drawn at right angles to the diameter of a circle from the extremity of it,** touches the circle ; and that it touches it only in one potnt, becaufe, if it did meet the citcle in... | |
| Euclid - 1781 - 550 pages
...angle lefs than any rectilineal an*gle.' CoR. From this it is manifeft that the ftraight line which is **drawn at right angles to the diameter of a circle from the extremity of it,** touches the circle ; and that it touches it only in one point, becaufe, if it did meet the circle in... | |
| Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...the center is greater than any one more remote. Which was to be demonftrated. PROP. XVI. The Jlraight **line drawn at right angles to the diameter of a circle, from the extremity,** will fall without the circle ; and into the place between the ftraight line and the circumference another... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...the ftraight line AG cuts the circle. CoR. From this it is msnifeft that die ftraight line whicl) is **drawn at right angles to the diameter of a circle from the extremity of it,** touches the circle ., and that it touches it only in one point, becaufe, if it did itieet the circle... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...within the circle. Wherefore, &c. Q^ED CoR. From this it is manifcft, that the ftraight line which is **drawn at right angles to the diameter of a circle from the extremity of it,** touches the Circle ; and that it touches only in one K point, i9. i. a i.3 b ni BOOK III. point, becaufe,... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...the flraight line EH lefs than EK. Wherefore, the diameter, &c. (^ED PROP. XVI. THE OR. THE ftraight **line drawn at right angles to the diameter of a circle,...extremity of it, falls without the circle ; and no** ftraight line can be drawn between that ftraight line and the circumference, from the extremity of... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...angle lefs than any rectilineal angle.' CoR. From this it is manifeft that the ftraight line which is **drawn at right angles to the diameter of a circle from the extremity of it,** touches the circle ; and that it touches it only in one point, becaufe if it did meet the circle in... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...the straight line EH is less than EK. Wherefore, the diameter, &c. QED PROP. XVI. THEOR. Book III. **THE straight line drawn at right angles to the diameter...straight line and the circumference, from the extremity** of the diameter, so as not to cut the circle. Let ABC be a circle, the centre of which is D, and the... | |
| Euclides - 1816 - 588 pages
...less than any rectiii'neal angle.' QED COR. 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 ; and that it touches it only in one point, because, if it did meet the cir• 2.... | |
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