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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...the other part. Let AB be the given straight line : it is required to divide it into two parts, go 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 ABDG; [I. 46. bisect AC at...
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Glasgow University Calendar

University of Glasgow - 1883 - 438 pages
...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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Military examinations. Mathematical examination papers set at an open ...

Civil service commission - 1883 - 62 pages
...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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Annual Report

1886 - 564 pages
...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...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 568 pages
...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...
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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...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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Cambridge University Examination Papers

University of Cambridge - 1884 - 624 pages
...together equal to the square on the whole line. 5. 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. Prove that the rectangle contained by the two parts is...
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The Civil service year book and official calendar

1884 - 266 pages
...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 and one of the parts shall be equal to the square of the other part. 4. The angles in the same segment of a circle are equal...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...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 and one of the parts shall be equal to the square of the other part. Upon AB describe the square ACDB ; T • bisect AC...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...of its angles equal to a given rectilineal angle. 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. WEDNESDAY, DECEMBER 12, from 9.30 AM to 12. 4 (I). Algebra....
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