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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... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Side 77
av John Playfair - 1819 - 317 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 sider
...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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...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...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...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...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 309 sider
...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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 sider
...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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...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,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 sider
...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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 sider
...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...straight line and the circumference from the extremity, so as not to cut the circle ; or, which is the same thing, no straight line can make so great an acute...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 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...straight line and the circumference from the extremity, so as not to cut the circle; or, which is the same tbJng, no itraigbt line can make so great an acute...
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