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Books Books 71 - 80 of 191 on AB be the given straight line ; it is required to divide it into two parts, so that....  
" AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. "
Introduction and books 1,2 - Page 402
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Pure mathematics, Volume 1

Edward Atkins - 1874
...square on the other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. CONSTRUCTION. Upon AB describe the square...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874
...the other part. 1. Let AB be the given straight line : it is required to divide it into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. _ On AB describe the ^' square ABDC ; bisect AC...
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Euclidian geometry

Francis Cuthbertson (geometer.) - 1874
...and PG, and is .-. = the square on GQ, (i. 35) PROBLEM B. To divide a straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. Let PQ be the given straight line. On PQ describe...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts, Thomas Kirkland - Geometry, Plane - 1876 - 403 pages
...of the squares of the segments of the diameter. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on .the other part. Solve the problem algebraically. Interpret and...
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Elements of geometry, based on Euclid, Books 1-3

Edward Atkins - 1876
...straight line, &c. QED Proposition 11. Problem. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Let AB be the given straight line. It is required...
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THE MADRAS UNIVERSITY CALENDAR

7 - 1876
...of any other equal triangle upon the same base. III. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. IV. (a) If from any point without a circle two...
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Examination Christmas,1875

Education Department,London - 1876
...others so described with twice the original square. 3. To divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. If the constructed figure be completed to form...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - Geometry - 1876 - 348 pages
...sq. on CD. QEB LA. IB Cor. PROPOSITION XI. PROBLEM. To divide a given straiyht line into two parts, so that the rectangle contained by the whole and one of the parts sliatt be equal to the square on the other part. It JD K n Let AB be the given si. line. On AB...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...the beginning of Book ii.] PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. Let AB be the given st. line. It is required to...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...square on the other part. Let AB be the given straight line. It is required to divide it into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Upon AB describe the square ACDB (I. 46) bisect...
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