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" ... may be demonstrated from what has been said of the pentagon : and likewise a circle may be inscribed in a given equilateral and equiangular hexagon, and circumscribed about it, by a method like to that used for the pentagon. "
The Elements of Euclid, the parts read in the University of Cambridge [book ... - Page 146
by Euclides - 1846
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...lines touching the circle, an equilateral and equiangular hexagon will be described about it, which may be demonstrated from what has been said of the...like to that used for the pentagon. PROP. XVI. PROB. SeeN. To inscribe an equilateral and equiangular quindecagon in a given circle. Let ABCD be the given...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 548 pages
...lines touching the circle, an equilateral and equiangular hexagon shall be described about it, which may be demonstrated from what has been said of the...circumscribed about it, by a method like to that used for the peatagon. PROP. XVI. PROB. To inscribe an equilateral and equiangular quindecagon in a given circle.*...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...lines touching the circle, an equilateral and equiangular hexagon will be described about it, which may be demonstrated from what has been said of the...it, by a method like to that used for the pentagon. PROPOSITION XVI. See N. PROn. — To inscribe an equilateral and equiangular quindecagon in a given...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...lines touching the circle, an equilateral and equiangular hexagon shall be described about it, which may be demonstrated from what has been said of the...XVI. PROB. To inscribe an equilateral and equiangular quin- See N. decagon in a given circle. Let ABCD be the given circle ; it is required to inscribe an...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...lines touching the circle, an equilateral and equiangular hexagon shall be described about it, which may be demonstrated from what has been said of the...it, by a method like to that used for the pentagon. . ' v PROP. XVI. PROB. To inscribe an equilaterut w eguiangular quindecagon in a given circle. :....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...lines touching the circle, an equilateral and equiangular hexagon shall be described about it, which may be demonstrated from what has been said of the...equiangular hexagon, and circumscribed about it, by a method tike to that used for the pentagon. PROP. XVI. PROB. . . ••••..!' -.' To inscribe an equilateral...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...inscribed in the circle ABCD. Which was to be done. PROP. V. PROB. G B II A F To describe a square about a given circle. Let ABCD be the given circle ; it is required to describe a square about it. Draw two diameters AC, BD of the circle ABCD, at right anglesto one another,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...lines touching the circle, an equilateral and equiangular hexagon shall be described about it, which may be demonstrated from what has been said of the...it, by a method like to that used for the pentagon. PROPOSITION XVI. PROBLEM. To inscribe an equilateral and equiangular quindecagon in a given circle....
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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
...there be drawn straight lines touching the circle, a regular hexagon will be described about it, which may be demonstrated from what has been said of the...and likewise a circle may be inscribed in a given regular hexagon, and circumscribed about it by a method similar to that used for the pentagon. PROP....
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...hexagon is equal to the straight line from the centre, that is, to the semidiameter of the circle. And if through the points A, B, C, D, E, F there be drawn...method like to that used for the pentagon. PROP. XVI. PROS. To inscribe an equilateral and equiangular quindecagon in a gieen circle. Let ABCD be the given...
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