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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...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...

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

John Playfair - 1846 - 334 σελίδες
...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...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...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...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...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...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...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...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...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...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 σελίδες
...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...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...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 σελίδες
...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,...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 σελίδες
...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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