 | 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 - 552 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 - Mathematics - 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... | |
 | John Mason Good - 1813 - 714 pages
...greater thin one more 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...so as not to cut the circle; or, which is the same tbJng, no itraigbt line can make so great an acute angle with the diameter at its extremity, or se... | |
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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... 
