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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. "
The Elements of Euclid, the parts read in the University of Cambridge [book ... - Página 69
por Euclides - 1846
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 páginas
...diagonal bisects them. What is the hypothesis in this proposition ? 4. 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. 5. Describe a square that shall be equal to a given rectilineal...
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The Practical Teacher; with which is Incorporated the Practical ..., Volumen2

Joseph Hughes - 1883 - 568 páginas
...twice the rectangle contained by the parts. Euclid II., 4. 3. 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. Euclid П., u. I. Prove that (a+i + c) Algebra. - (30 + 4¿ + 5<r) 2 = 16 (ar) =...
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Annual Report

1886 - 568 páginas
...parallel to the same straight line are parallel to each other. 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. NATURAL PHILOSOPHY. FIRST AND SECOND DIVISIONS. SECOND DIVISION will take questions...
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Military examinations. Mathematical examination papers set at an open ...

Civil service commission - 1883 - 62 páginas
...and is stated as a corollary to that proposition. g. — (1) 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. (2) If А В be so divided in C, and D be the middle...
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Glasgow University Calendar

University of Glasgow - 1883 - 438 páginas
...opposite are given. When is the problem impossible. 3. Show how 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. If the length of the larger segment be 10 in., what is...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 páginas
...of the squares on AC, CD. PROPOSITION 11. PROBLEM. To divide a given straight line into two partt, 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 páginas
...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...
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The Civil service year book and official calendar

1884 - 266 páginas
...at right angles by the straight line joining their centres. 3. Divide a given straight line into two parts so that the rectangle contained by the whole...parts shall be equal to the square of the other part. 4. The angles in the same segment of a circle are equal to one another. 5. If the diameter of a circle...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 páginas
...one of the parts shall be equal to the square of the other part. It is required to divide AB into two parts, so that the rectangle contained by the whole...parts shall be equal to the square of the other part. Upon AB describe the square ACDB ; T • bisect AC in E, join BE, produce CA to F, and make EF equal...
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Yale Examination Papers

F. B. Stevens - 1884 - 202 páginas
...the same side of the secant line is equal to two right angles. 3. 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. 4. To divide a given line into two parts, such that the...
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