| Robert Simson - 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...extremity of it, touches the 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. '... | |
| Robert Simson - 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...extremity of it, 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. <... | |
| Euclid - 1781 - 550 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...extremity of it, touches the 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... | |
| 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... | |
| John Playfair - Trigonometry - 1795 - 444 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...extremity of it, touches the 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... | |
| Alexander Ingram - 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...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, it would fall... | |
| 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...extremity of it, touches the 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... | |
| John Playfair - Euclid's Elements - 1804 - 470 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,... | |
| John Mason Good - 1813 - 722 pages
...remote; and the greater is nearer to the centre than the less, * 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 - 1814 - 558 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... | |
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