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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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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 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 quindecugon in a given circle....
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 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 pentagon: and likewise a circle maybe inscribed in a given equilateral and equiangular hexagon, and circumscribed about it, by a method...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...lines teaching 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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 350 pages
...continuations of radii drawn from the centre O of the circle. PROP/ VI. PROB. To inscribe a square tn a given circle . Let ABCD be the given circle ; it is required to inscribe a square in ABCD. Draw the diameters, AC, BD at right angles to one another, and join AB, BC, CD, DA...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...hexagon will be described about the circle, as may be shewn from what was said of the pentagon ; and a circle may be inscribed in a given equilateral and...hexagon, and circumscribed about it, by a method like that used for the pentagon. [ill. 27. PROPOSITION 16. PROBLEM. To inscribe an equilateralandequiangular...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...hexagon will be described about the circle, as may be shewn from what was said of the pentagon ; and a circle may be inscribed in a given equilateral and...hexagon, and circumscribed about it, by a method like that used for the pentagon. [III. 27. PROPOSITION 16. PROBLEM. To inscribe an equilateralandequiangidar...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 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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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...equal, and the Łgure 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,...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 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 16. — Problem. To inscribe an equilateral and equiangular quindccagon in a given circle....
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