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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 school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...the third angle. QEF 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 an isosceles triangle...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...equiangular pentagon about a given circle. (References — Prop. I. 4, 8, 26, 47; in. 17, 18, 27 ; iv. 11.) Let ABCDE be the given circle. It is required to describe...equilateral and equiangular pentagon about the circle ABCDE. CONSTRUCTION Let the angular points of a pentagon, inscribed in the circle, by the last proposition,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 317 Seiten
...will be the side of an " equilateral pentagon inscribed in the circle." PROP. XII. PROB. To describe an equilateral and equiangular pentagon about a given...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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 Seiten
...equiangular pentagon IMS been inscribed in the given circle. QEI?. PROPOSITION 12. PROBLEM. 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 at the points A, B, C, D, E, so that the arcs...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 Seiten
...angle. QEF [Axiom 6. PROPOSITION 11. 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 ABCDK Describe an isosceles triangle,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 Seiten
...the third angle. QEF 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 an isosceles triangle...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...third angle. QEF PROPOSITION 11. — 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. Construction. Describe an isosceles...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 Seiten
...third angle. QEF PROPOSITION XL PROBLEM. To inscribe an equilateral and equiangular pentagon in it 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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 Seiten
...angle. QEF [Axiom 6. PROPOSITION 11. 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 an isosceles triangle....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...To describe a regular pentagon on a given straight line PROP. XII. PROBLEM. To describe a . regular pentagon about a given circle. Let ABCDE be the given circle. It is required to describe a regular pentagon about it. Find A, B, C, D, and E, the angular points of a regular pentagor inscribed...
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