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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 - Pagina 112
door Euclid - 1781 - 520 pagina’s
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 pagina’s
...an ' equilateral pentagon inscribed in the circle." PROP. XII. PROB. To describe an equilateral ana equiangular pentagon about a given circle. Let ABCDE...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 arcs...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...double of the third angle, QEF 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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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...and equiangular pentagon has been inscribed. Which was to be done. PROPOSITION 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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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...double of the third angle. QEF PROP. 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 first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 pagina’s
...was to be done. PROPOSITION XI. — PBOBLEM. To inscribe an equilateral and eqwumgula/r 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 geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...Euclid's method ia given in the next propositions. PROP. XL PROBLEM. To inscribe a regular pentagon ma given circle. Let ABCDE be the given circle. It is required to inscribe in it a regular pentagon. Describe (IV. 10) an isosceles triangle FGII, having each of the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 pagina’s
...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 school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...equiangular pentagon about a given circle. (References — Prop. i. 4, 8, 26, 47; ni. 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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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Robert Potts - 1864
...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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