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" To describe an equilateral and equiangular pentagon about a given circle. • Let ABCDE be the given circle; it is required to describe an equilateral and equiangular pentagon about the circle ABCDE. Let the angles of a pentagon, inscribed in the circle... "
The First Six Books: Together with the Eleventh and Twelfth - Page 112
by Euclid - 1781 - 520 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...PROP. XII. PROB. TO describe an equilateral and equiangular pentagon rfbout a given circle. Let XfiCDE be the given circle; it is required to describe an...about the circle ABCDE. Let the angles of a pentagon, inscribed in a circle, by the last proposition, be in the points A, B, C, D, E, so that the a 11. 4....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...to be done. Wherefore, in the given circle, an equilateral and equianguPROP. XII. PKOB. To describe an equilateral and equiangular pentagon about a given...equilateral and equiangular pentagon about the circle ABCDE. • 11. 4. the circumferences AB, BC, CD, DE, EA are equal 3 ; and through the points A, B, C, D, E,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...angle. Which was to be done. PROP. XI. PROB. To inscribe an equilateral and equiangular pentagon in a given circle. Let ABCDE be the given circle ; it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE. Describe* an isosceles triangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 pages
...inserib" ed in the circle BDE." PROP. XI. PROB. * To inscribe an equilateral and equiangular pentagon in a given circle. Let ABCDE be the given circle, it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE. Describe (10. 4.) an isosceles...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 516 pages
...equilateral and equiangular pentagon has been inscribed. Which was to be done, . PROP. XII. PROB. To describe an equilateral and equiangular pentagon about a given...about the circle ABCDE. Let the angles of a pentagon, inscribed in the circle, by the last proposition, be in the points A,B, C, D, E, so that the circumferences...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...been made, &c. QEF PROPOSITION XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in a given circle. Let ABCDE be the given circle; it is required in the circle ABCDE to inscribe an equilateral and equiangular pentagon. Let FGH be an isosceles triangle,...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 pages
...been made, 8tc. QEF PROPOSITION XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in a given circle. Let ABCDE be the given circle ; it is required in the circle ABCDE to inscribe an equilateral and equiangular pentagon. Let FGH be an isosceles triangle,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...angle. Which was to be done. PROP. XL PROB. To inscribe an equilateral and equiangular pentagon in a given circle. Let ABCDE be the given circle ; it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE. Describe* an isosceles triangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 333 pages
...the circle." PROP. XII. PROB. To describe an equilateral and equiangular pentagon about a givendrcle. Let ABCDE be the given circle, it is required to describe...about the circle ABCDE. Let the angles of a pentagon, inscribed in the circle, by the last proposition, be in the points A, B, C, D, E, so that the arches...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 pages
...angle. Which was to be done. PROP. XL PROB. To inscribe an equilateral and equiangular pentagon in a given circle. Let ABCDE be the given circle ; it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE. Describe3 an isosceles triangle...
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