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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... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 74
av Robert Simson - 1781 - 466 sider
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...greater than any acute rectilineal < angle, and fhe remaining angle lefs than any rectilineal anCoR. From this it is manifeft that the ftraight line which...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. < Alfo it is rvident...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...tranflations from it, the angle of ' the femicircle is faid to be greater than any acute rectilineal ' angle, and the remaining angle lefs than any rectilineal...becaufe, if it did meet the circle in two, it would o i• 3. fall within it e. ' Alfo \t is evident that there can be but one f ftraight line which touches...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 309 sider
...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 ...

Euclid, John Playfair - 1795 - 400 sider
...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...it touches it only in one point, becaufe, if it did itieet the circle in two, it would fall within it c. i Alfo it is evident that there can be but one...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...than DG ; 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...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, if it did meet the circle in two,...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...from it, the angle of the « femicircle is faid to be greater than any acute rectilineal angle, « and the remaining angle lefs than any rectilineal...it did meet the circle in two, it would fall within it e. «- Alfo it is evident that there can be but one ftraight line * which touches the circle in...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 sider
...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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...straight line, &c. QED A Book HI. COR. From this it is manifest that the straight line which N^-v*W is drawn at right angles to the diameter of a circle,...circle ; and that it touches it only in one point ; because, if it did meet the circle in two points, it would fall within itc. Also it is evident that...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...remaining angle less than any rectiii'neal angle.' QED COR. From this it is manifest, that the straight line which is drawn at right angles to the diameter...circle ; and that it touches it only in one point, because, if it did meet the cir• 2. 3. cle in two, it would fall within ite. ' Also, it is evident,...
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