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" 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. "
Euclid's Elements of geometry, books i. ii. iii. iv - Seite 65
von Euclides - 1862
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...CD. Wherefore, if a 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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 Seiten
...CD. Wherefore, if a 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 may lie equal to the square on the other part. Let AB be the given straight line : it is required to...
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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 Seiten
...sides is a right angle. 9. Define rectangle ; gnomon. '••/£: , 10. Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part, jj yi . 1 1. Give construction only for describing...
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Annual Report

1868 - 876 Seiten
...straight line which 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...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 to receive Honours, as the result...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 Seiten
...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 divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. FQ Upon AB describe the...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 336 Seiten
...base, and upon the 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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Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 196 Seiten
...two parts, together with twice the rectangle contained by the parts. 5. Divide a given straight line into two parts, so that the rectangle contained by...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 without or in the circumference,...
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Minutes of the General Council of Medical Education & Registration ..., Band 6

General Medical Council (Great Britain) - 1869 - 402 Seiten
...a parallelogram 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...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 rectilineal figure. 7. If...
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870 - 272 Seiten
...; prove that the 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 Seiten
...XI. PROBLEM. To divide a given straight line into tiro jiarts, so that the rectangle contained by ike whole and one of the parts shall be equal to the square on the ether part. & _ JJ 1C f Let AB be the given st. line. On AB descr. the sq. ADCB. Bisect AD in E and...
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