 | Robert Simson - Trigonometry - 1762 - 488 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 - Trigonometry - 1775 - 534 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 - 552 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... | |
 | Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...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
...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 - Trigonometry - 1799 - 374 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 - 530 pages
...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 - Circle-squaring - 1804 - 468 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,... | |
 | Robert Simson - Trigonometry - 1806 - 546 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 - Mathematics - 1806 - 320 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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The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... 
