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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 - Seite 112
von Euclid - 1781 - 520 Seiten
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 Seiten
...have the means of describing that figure in a given circle. PROP. XII. PROB. To describe a regular pentagon about a given circle. Let ABCDE be the given...equiangular pentagon about the circle ABCDE. Let the angular points of a pentagon, inscribed in the circle, by the last proposition, be A, B, 0, D, E ;...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 Seiten
...PROP. XII. PROS. To describe an equilateral and equiangular pentagon about a given circle, Let ABODE be the given circle, it is required to describe an...equilateral and equiangular pentagon about the circle ABODE. Let the angles of a pentagon, inscribed in the circle, by the last proposition, be in the points...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 Seiten
...of the third angle. PROPOSITION XI. PROBLEM. 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 (IV. 10) an isosceles...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 Seiten
...PROP. XII. PROB. To describe an equilateral and equiangular pentagon about a given circle. Let ABODE be the given circle ; it is required to describe an...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 [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...equilateral and equiangular pentagon has been described. Which was to be done. PROP. XII. PROB. To describe an equilateral and equiangular pentagon about a given circle. Let ABCDE be the givtm circle ; it is required to describe an equilateral and equiangular pentagon about the circle...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 Seiten
...angle. Which was to be done. PROP. XI. PROB. 'I'n 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 - 1842 - 317 Seiten
...inscribed 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 317 Seiten
...PROP. XII. PROB. To describe an equilateral and equiangular pentagon about a given circle. Let ABODE be the given circle, it is required to describe an...equilateral and equiangular pentagon about the circle ABODE. Let the angles of a pentagon, inscribed in the circle, by the last proposition, be in the points...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 Seiten
...equiangular pentagon has been inscribed. Which was to be done. PROPOSITION XII. PHOB. — To describe an equilateral and equiangular pentagon about a given...about the circle ABCDE. Let the angles of a pentagon, inscribed hi the circle, by the last proposition, be in the points A, B, C, D, E, so that • n. 4....
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 Seiten
...given circle. PROP. XII. PROn. — To describe a regular pentagon about a given circle. Let ABCDE be a given circle; it is required to describe an equilateral and equiangular pentagon about the circle ABCDE. A Let the angular points of a pentagon, in- /^ ^\P scribed in the circle, by the last proposition,...
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