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" ... may be demonstrated from what has been said of the pentagon : and likewise a circle may be inscribed in a given equilateral and equiangular hexagon, and circumscribed about it, by a method like to that used for the pentagon. "
The Elements of Euclid, the parts read in the University of Cambridge [book ... - Page 146
by Euclides - 1846
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...the triangle, beyond the fide oppofite to the obtufe angle. PROP. VI. PROB. TI^O infcribe a fquare in a given circle. Let ABCD be the given circle ; it is required to infcribe a fquare inABCD. ' . Draw the diameters AC, BD at right angles tp one another ; and join AB,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...the triangle, beyond the fide pppoiite to the obtufe angle. PRO P. VI. PRO B. TO inferibc a fquare in a given circle. Let ABCD be the given circle ; it is required to inferibe a fquare in ABCD. Draw the diameters AC, BD at right angles to one another ; and join AB,...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 309 pages
...circumfcribe a circle by the like Jleps as have been mentioned concerning the pentagon. PROP. XVI. To infcribe an equilateral and equiangular quindecagon in a given...circle. Let ABCD be the given circle ; it is required to infcribe an equilateral and equiangular quindecagon in the circle ABCD. Let AC, be infcribed in the...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...ufed for the pentagon. PROP, JVI. PROB, TO infcribe an equilateral and equiangular qumdeca-see N. gon in a given circle. Let ABCD be the given circle ; it is required to infcribe an equilateral and equiangular quindecagon in the circle ABCD. Let AC be the fide of an equilateral...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - Euclid's Elements - 1789 - 272 pages
...points, and circumfcribe the triangle ABC, as was to be done. PROP. VI. PROBLEM. To infcribe a fquare in a given circle. Let ABCD be the given circle ; it is required to infcribe a fquare in it. .Through E, the centre of the circle, draw any two diameters AC, BD at right...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Electronic book - 1795 - 400 pages
...circumfcribed about it, by a method like to that ufed for the pentagon. PROP. XVI. PRO B. HTO infcribe an equilateral and equiangular quindecagon in a given...circle. Let ABCD be the given circle ; it is required to infcribe an equilateral and equiangular quindecagon in the circle ABCD. a 2. 4. Let AC be the fide...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...circumfcribed about it, by a method like to that ufed for the pentagon. T PROP. XVI. PROB. O infcribe an equilateral and equiangular quindecagon in a given...circle. Let ABCD be the given circle ; it is required to infcribe an equilateral and eqtiiangu- . lar quindecagon in the circle ABCD. Let AC be the fide of...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...for the pentagon. T PROP. XVI. PROB. O infcribe an equilateral and equiangular quinde- see N. cagun in a given circle. Let ABCD be the given circle ; it is required to infcribe an equilateral and equiangular quindecagon in the circle ABCD. Let AC be the fide of an equilateral...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...lines touching the circle, an equilateral and equiangular hexagon will be described about it, which may be demonstrated from what has been said of the...method like to that used for the pentagon. PROP. XVI. TO inscribe an equilateral and equiangular quindecagon in a given circle. Let ABCD be the given circle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...circle, an equilateral and equiangular hexagon shall be described about it, which may be demonstrat- * ed from what has been said of the pentagon ; and likewise...equiangular hexagon, and circumscribed about it, by a msthod like to that used for the pentagon. PROP. XVI. PROIi. TO inscribe an equilateral arid equiangular...
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