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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 99
by Euclid - 1826 - 180 pages
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...hexagon. For, A^^__^^ the side of a hexagon is equal to the radius (Bk. II. Th. xix) PROBLEM XXII. To inscribe a square in a given circle. Let ABCD be the given circle. Draw the two diameters AC, BD, at right angles to each other, and through the points A, B, C and D...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...regular hexagon. For, ^___,^ the side of a hexagon is equal to the radius (Bk. II. TL xix) PROBLEM XXII. To inscribe a square in a given circle. Let ABCD be the given circle. Draw the two diameters AC, BD, at right angles to each other, and through the points A, B, C and D...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...inscribed in the circle ABCD. Which was to be done. PROPOSITION 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 another;...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...square; and it is inscribed in the circle ABCD. QEF PKOP. VII. PROBLEM. 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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...obtuse-angled triangle, the centre falls without the triangle, beyond the side opposite to the obtuse angle. PROPOSITION VI. — PROBLEM. To inscribe a square in a given, circle. LET abСd be the given circle; it is required to inscribe a square in abСd. Draw the diameters a С, bd,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...obtuse-angled triangle, the center falls without the triangle, beyond the side opposite to the obtuse angle. PROPOSITION VI. PROBLEM. To inscribe a square in a given circle. Let A BCD be the given circle. It is required to inscribe a square in ABCD, Draw the diameters, AC, BD,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...30.) and it is inscribed in the circle ABCD. QEF PROPOSITION VII. PROBLEM. To describe a square about a given circle. Let ABCD be the given circle. It is required to describe a square about it. GAF H c Draw two diameters AC, BD of the circle ABCD, at right angles to...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...obtuse-angled triangle, the center falls without the triangle, beyond the side opposite to the obtuse angle. . PROPOSITION VI. PROBLEM. To inscribe a square in a given circle. Let A BCD be the given circle. It is required to inscribe a square in ABCDDraw the diameters, AC, BD, at...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...obtuse-angled triangle, the center falls without the triangle, beyond the side opposite to the obtuse angle. PROPOSITION VI. PROBLEM. To inscribe a square in a given circle. Let ABCD he the given circle. It is required to inscribe a square in ABCD. Draw the diameters AC, BD, at right...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...tquare JMS been inscribed in the given circle. QEF PKOPOSITION 7. PROBLEM. 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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