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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 35
by John Carroll (art master.) - 1881
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 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 (hat it touches it only in one point, because, if it...
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Mechanics Magazine, Volume 4

Industrial arts - 1825 - 546 pages
...the circle, and therefore the straight line AG cuts the circle. " COR.— Hence 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...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 4

Perry Fairfax Nursey - Industrial arts - 1825 - 476 pages
...circle, aud therefore the straight line AG cuts the circle. " Cor..— Hence 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...
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Mechanics' Magazine and Journal of Science, Arts, and Manufactures, Volume 4

Industrial arts - 1825 - 484 pages
...the circle, and therefore the straight line AG cuts the circle. " Con.— Hence 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...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...rectilineal angle, and the remaining angle less than any .rectilineal angle. QED Deductions. 1. The right 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 point. 2. To describe a circle,...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...rectilineal angle, and the remaining angle less than any rectilineal angle. QED Deductions. 1. The right 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 point. 2. To describe a circle,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...angle, and the remaining angle less than any rectilineal angle." QED COR. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a cirtsDef. 3. cle from the extremity of it, touchesf the circle; and that it touches it only in one...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...angle less than " any rectilineal angle." COR. From this it is manifest, that the straight line whick 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 First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...therefore be without the circle. Therefore the straight line, &c. Cor. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from its extremity, touches (III. def. 1.) the circle; and that it touches it only in one point, because at every point...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...and therefore the straight line AG cuts the circle. COR. 1. From this it is manifest, that the j> [ 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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