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

Robert Potts - 1868 - 434 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, 11 D,...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1869 - 472 pages
...centre to either side. The apotl em is equal to the radius of the inscribed circle. 139 PROPOSITION III. PROBLEM. To inscribe a square in a given circle. Let ABCD be the given circle. Draw any two diameters AC and BD perpendicular to each other ; they will divide the circumference into...
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872 - 102 pages
...three angular points. NOTE. Euclid's fifth Proposition of this Book has been already given on page 15. PROPOSITION VI. PROBLEM. To inscribe a square in a given circle. Let ABCD be the given . It is required to inscribe a square in the . Through O, the centre, draw the diameters AC, BD,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...escribed circle.) NOTE. Encbd's fifth Proposition of this Book has been already given on page 135. PROPOSITION VI. PROBLEM. To inscribe a square in a given circle. Let ABCD be the given . It is required to inscribe a square in the . Through O, the centre, draw the diameters AC, BD,...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...and it is inscribed in the circle ABCD. QEF PROPOSITION 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. HC Construction. Draw two diameters AC, BD of the circle ABCD, at right...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 446 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. H c K . Draw two diameters AC, BD of the circle ABCD, at right angles to...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...square has been inscribed in the given circle. QEF PBOPOSITION 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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 292 pages
...we have (I. 42, Cor. 2) AD : AE : : 1/2 : 1, Proposition 2. 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 at right angles to each other,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...used for the pentagon. PROPOSITION 16. PROBLEM. To inscribe an equilateralandequiangularquindecagnn in a given circle. Let ABCD be the given circle: it is required to inscribe an equilateral and equiangular quindecaaron in the circle ABCD. Let AC be the side of an equilateral...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...to have its sides equal to a given straight line. 20—2 PROPOSITION 7. To descrtbe a square about a given circle. Let ABCD be the given circle : it is required to describe a square about it. CONSTRUCTION. Find E the centre of the circle ABCD, (III. Prop. 5.) and...
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