 | Robert Simson - Trigonometry - 1762 - 466 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 - 520 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... | |
 | John Playfair - Trigonometry - 1795 - 444 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 - 351 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's Elements - 1804 - 470 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
...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...without the circle ; and no straight line can be drawn between that straight line and the circumference, from the extremity of the diameter, so as not to... | |
 | Robert Simson - Trigonometry - 1806 - 518 pages
...diameter, &c. QED PROP. XVI. THEOR. THE straight line drawn at right angles to the dia- See N. meter 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 from the extremity, so as not to cut the circle ;... | |
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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... 
