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" From this it is manifest that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, touches the circle... "
A companion to Euclid: being a help to the understanding and remembering of ... - Side 61
av Euclides - 1837 - 88 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 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 - 534 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 - 552 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 - 324 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 ...

Euclid, John Playfair - 1795 - 462 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 - 374 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 ...

John Playfair, Euclid - 1804 - 468 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 - 530 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 it did meet the circle in...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...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 of a circle from the extremity of it, touches the circle ; and that it touches it only in one point, because, if it did meet the cir• 2....
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