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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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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. PBOB. To inscribe an equilateral and equiangular quindecagon in a given circle. Let...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 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 qu.indecag.an in a given circle....
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...touching the circle, an equilateral and equiangular hexagon shall be described about the circle, which may be demonstrated from what has been said of the...and equiangular hexagon, and circumscribed about it, oy a method like to that used for the pentagon. PROP. XVI. PROBLEM. To inscribe an equilateral and...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...of the hexagon is equal to the radius of the circle. And if through A, B, C, D, E, F lines be drawn touching the circle, an equilateral and equiangular...it, by a method like to that used for the pentagon. PROPOSITION XVI.-PROBLEM. To inscribe an equilateral and equiangular quindecagon, or fifteen-sided...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1855 - 340 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 quindecagon in a given circle. Let ABCD be the giren circle ; it is required to inscribe an equilateral and equiangular quindecagon in the circle...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...equal, and the figure ABCDEF will be a regular polygon. PROPOSITION III. PROBLEM. To inscribe a square in a given circle. Let ABCD be the given circle ; it is required to inscribe a square in it. Draw two diameters AC, BD at right angles to each other ; and join AB, BC, CD, DA....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 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...and equiangular quindecagon in a given circle. Let AC be the side of an equilateral triangle inscribed (2. 4.) in the circle, and AB the side of an equilateral...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 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. PROBLEM. To inscribe an equilateral and equiangular quindecagon in a given circle....
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 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 similar to that used for the pentagon. PROPOSITION XVI. PROBLEM. To inscribe an equilateral and equiangular...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 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...hexagon, and circumscribed about it, by a method like that used for the pentagon. PROP. XVI.— PROBLEM. To inscribe an equilateral and equiangular quindecagon...
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