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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; and that it touches it only in one point, because, if it did meet the circle in two, it would fall... "
Practical geometry for art students - Page 32
by John Carroll (art master.) - 1881
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...re' maining 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....
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...and fhe 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...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...remaining 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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...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 from the extremity of it, touches the circle ., and that it touches it only in one point, becaufe, if it...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...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 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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...and therefore the siiaight line AG cuts the ciicle. Con. From this it is rnanifeft, that the flraight line which is drawn at right angles to the diameter of a circle from the extremity of it, touches the ciicle ; and that it touches it only in one point; becaufe, if it...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...the remaining 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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...angle, and the remaining angle less ' than any rectilineal angle.' 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...and the 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 of a circle from the extremity of it, touches the circle ; and that it touches it only in one point, because, if it...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...the circle, and therefore the straight line AG cuts the circle. 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...
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