| Robert Simson, Euclid - 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, Euclid - 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 - 520 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... | |
| James Williamson - Mathematics - 1781
...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 - Euclid's Elements - 1795 - 400 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, Robert Simson - 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 - 440 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 - Trigonometry - 1806 - 311 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, Olinthus Gilbert Gregory - 1813
...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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