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" 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. "
The First Six Books: Together with the Eleventh and Twelfth - Page 62
by Euclid - 1781 - 520 pages
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...46, 47 ; ii. 6.) 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 of the other part CONSTRUCTION Upon AB describe the square ABDC ; (i....
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Examination papers collected by A. Clark as a student and as an examiner

1867
...sides which contain the right angle. [Turn over. 8. 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. 9. To a given straight line apply a parallelogram, which...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...straight line &c. QED H 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 may be equal to the square on the other part. Let AB be the given straight line : it is required to...
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Annual Report

1868
...is made up of the half and the part produced. 25 5. 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 25 B. I ISTS OF PUPILS recommended by tfie Examiners...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...DB; BOOK II. PROP. XI. 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, shall be equal to the square on the other part, Let AB be the given straight line. It is required to...
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The Edinburgh university calendar

Edinburgh univ - 1868
...same side of it, are between the same parallels. 4. 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 of the other part. 5. The angles in the same segment of a circle are equal...
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Minutes of the General Council of Medical Education & Registration ..., Volume 6

General Medical Council (Great Britain) - 1869
...are equal to one another, and the diagonal bisects it. 5. To divide a 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. 6. To describe a square that shall be equal to a given...
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1869 - 178 pages
...with twice the rectangle contained by the parts. 5. 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. 6. Draw a straight line from a given point, either...
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870
...angle BDC is half the sum of the angles ABG, ACS. 2. 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. Produce a given straight line, so that the rectangle...
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The Guide to the Indian Civil Service, Containing Directions for Candidates ...

Alexander Charles Ewald - Civil service - 1870 - 268 pages
...what does the merchant gain or lose by the transaction ? 2. 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 of the other part. 3. Prove that equiangular parallelograms have to one...
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