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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 plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840 - 192 pages
...since each of its angles is double of the angle of an equilateral triangle, it is also equiangular. PROP. XVI. PROB. To inscribe an equilateral and equiangular quindecagon in a given circle (ABCD). Let AB and BD be the sides of an equilateral pentagon inscribed in the given circle, and let...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 pages
...equiangular pentagon. PROP. XV. PROB. To inscribe an equilateral and equiangular hexagon in a given circle. A PROP. XVI. PROB. To inscribe an equilateral and equiangular quindecagon in a given circle. BOOK VI. PROP. I. THEOR. Triangles and parallelograms having the same altitude, are to one another...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 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. 'In inscribe an equilateral and equiangular quindecayon in a given circle. Let ABCD be the given circle;...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 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...method like to that used for the pentagon. PROP. XVI. PROS. To inscribe an equilateral and equiangular qumdecagon in a given circle. Let ABCD be the given...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 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 a pentagon. NB In practice it will evidently suffice to inscribe in the circle a line equal to the...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 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....
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 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...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 ...

Euclides, James Thomson - Geometry - 1845 - 382 pages
...equal lines FB, GC, &c. Therefore, if any equilateral, &c. PROP. VI. PROR. — 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 one another ; and join AB, BC, CD, DA;...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...is to the radius, as the square root of 2, is to unity. PROP. VII. PROB. 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 angles to one another,...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 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. Because...
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