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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: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 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 Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...regular polygon at right angles to one of its sides. Proposition 1. Problem.— To inscribe a square in 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 each other, and join AB, BC, CD, DA...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 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 pentagoa [III. 27. PROPOSITION 16. PROBLEM. To inscribe an equilateral and equiangular...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 286 pages
...we have (I. 42, Cor. 2) AD : AE : : 1/2 : 1, Proposition 2. Problem. — 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 at right angles to each other,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 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. PROPOSITION 16. PROBLEM. To inscribe an equilateralandequiangularquindecagnn...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...Ex. 623. — To describe a regular hexagon on a given finite straight line. PROPOSITION 16. PROBLEM. To inscribe an equilateral and equiangular quindecagon in a given circle. Let ABC be the given 0, AC the side of an equilateral A, and AB, BE sides of a regular pentagon inscribed...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...to have its sides equal to a given straight line. 20—2 PROPOSITION 7. To descrtbe a square about a given circle. Let ABCD be the given circle : it is required to describe a square about it. CONSTRUCTION. Find E the centre of the circle ABCD, (III. Prop. 5.) and...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...to have its Bides equal to a given straight line. 20—2 PROPOSITION 7. To describe a square about a given circle. Let ABCD be the given circle : it is required to describe a square about it. CONSTRUCTION. Find E the centre of the circle ABCD, (I1I. Prop. 5.) and...
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Plane Geometry: A Complete Course in the Elements of the Science

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...whose approximate value is derived in Proposition XV. PROPOSITION XI. — PROBLEM. To inscribe a square in a given circle. Let ABCD be the given circle. It is required to inscribe in it a square. Construction. — Draw any two diameters, AC and BD, at right angles to each other;...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...pentagon may be shewn to be equal ; PROPOSITION 12. PROBLEM. To circumscribe a regular pentagon about a given circle. Let ABCD be the given circle. It is required to circumscribe a regular pentagon about the 0 ABCD. Construction. Inscribe a regular pentagon in the...
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