| Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...re' maining 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...circle ; and that it touches it only in one point,** becaufe if ci 3. it did meet the circle in two, it would fall within it e. ' Alfo it is ' evident that... | |
| Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...and fhe 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...touches the circle ; and that it touches it only in one** potnt, becaufe, if it did meet the citcle in two, it would s. 3. fall within itc. < Alfo it is rvident... | |
| Euclid - 1781 - 520 pages
...remaining 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...circle ; and that it touches it only in one point,** becaufe, if it did meet the circle in two, it would o i• 3. fall within it e. ' Alfo \t is evident... | |
| James Williamson - Mathematics - 1781
...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... | |
| John Playfair - Euclid's Elements - 1795 - 400 pages
...therefore 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...circle ., and that it touches it only in one point,** becaufe, if it did itieet the circle in two, it would fall within it c. i Alfo it is evident that there... | |
| Alexander Ingram, Robert Simson - Trigonometry - 1799 - 351 pages
...therefore AF falls 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...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, if it did meet the circle in two,... | |
| Robert Simson - Trigonometry - 1804
...the remaining 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...circle ; and that it touches it only in one point,** becaufe if it did meet the circle in two, it would fall within it e. «- Alfo it is evident that there... | |
| John Playfair - Euclid's Elements - 1804 - 440 pages
...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, from the extremity of it,** falls without the circle ; and no ftraight line can be drawn between that ftraight line and the circumference,... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...acute rectilineal angle, and the remaining angle less ' than any rectilineal angle.' CoR. From this **it is manifest, that the straight line which is drawn...because, if it did meet the circle in two, it would** e 2. 3. fall within it e. < Also it is evident that there can be but one « straight line which touches... | |
| John Playfair - Trigonometry - 1806 - 311 pages
...straight line, &c. QED A Book HI. COR. From this it is manifest that the straight line which N^-v*W **is drawn at right angles to the diameter of a circle,...point ; because, if it did meet the circle in two** points, it would fall within itc. Also it is evident that there can be but one straight line which... | |
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