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" To describe a square about a given circle. Let ABCD be the given circle ; it is required to describe a square about it. . Draw two diameters AC, BD of the circle ABCD, at right angles to one another, and through the points A, B, • 17.3. C, D, draw... "
Elements of Geometry, Containing the First Six Books of Euclid - Page 97
by Euclid - 1826 - 180 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...inscribed in the circle ABCD. Which was to be done. i. PROP. VII. PROB. To describe a square about a given circle. Let ABCD be the given circle ; it is required to describe a square about it. . Draw two diameters AC, BD of the circle ABCD, at right angles to one...
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A Supplement to the Elements of Euclid

Daniel Cresswell - Geometry - 1819 - 410 pages
...circle, to inscribe four circles equal to each other, and in mutual contact with each other and the given circle. Let ABCD be the given circle : It is required to inscribe in it four equal circles touching one another, and the circle ABCD. IV * • _l . •• , * . H...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...inscribed in the circle ABCD. Which was to be done. PROP. VII. PROB, •s. , To describe a square about a given circle. Let ABCD be the given circle ; it is required to describe a square about it. Draw two diameters AC, BD of the circle ABCD, at right angles to one another,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...the centre falls without the triangle, beyond the side opposite to the obtuse angle. PROP. VI. PROB. To inscribe a square in a given circle. Let ABCD be the given circle ; it required to inscribe a square in ABCD. Draw the diameters AC, BD at right angles to one another ; and...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...also, when the given angle is less than a right angle, AF, EF, will meet withm the triangle, but whea it is a right angle, on вс, and when a greater than...VI. PROBLEM. To inscribe a square in a given circle. Draw the two diameters AC, BD, of the -circle ABCD at right angles to one another, and join AB, вс,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...circle ABCD. Which was to be done. 17. 3. 18. 3. 1 28. 1. PROP. VII. PROB. To describe a square about a given circle. Let ABCD be the given circle; it is required to describe a square about 1t. Draw two diameters AC, BD of the circle ABCD, at right angles to one another,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...ABCD. Which was to be dune. a 17. 3. b 18. 3. d 34. 1. PROP. VII. PR OB. To describe a square about a given circle. Let ABCD be the given circle; it is required to describe a square about it. Draw two diameters AC, BDof the circle ABCD, at right angles to one another,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 316 pages
...used for the pentagon. . ' v PROP. XVI. PROB. To inscribe an equilaterut w eguiangular quindecagon in a given circle. :. Let ABCD be the given circle ; it is ^,jred to inscribe an equilateral and equiangular quindecagon in the circle ABorx Let AC be the side...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...PROP. XVI. PROB. . . ••••..!' -.' To inscribe an equilateral and equiangular quinr ', decagon in a given circle. . >" Let ABCD be the given circle ; it is required to itscribe an equilateral and equiangular quindecagon in the circle ABCD. Let AC be the side of an equilateral...
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The Element of Geometry

John Playfair - Geometry - 1836 - 114 pages
...inscribed in the circle ABCD. Which was to be done. PROP. V. PROB. G B II A F To describe a square about a given circle. Let ABCD be the given circle ; it is required to describe a square about it. Draw two diameters AC, BD of the circle ABCD, at right anglesto one another,...
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