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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 - Σελίδα 112
των Euclid - 1781 - 520 σελίδες
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 σελίδες
...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 ;...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 σελίδες
...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...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 σελίδες
...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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 σελίδες
...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...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 σελίδες
...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...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 338 σελίδες
...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...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 σελίδες
...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....

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 σελίδες
...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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