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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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Glasgow University Calendar

University of Glasgow - 1883
...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
...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
...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
...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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The Civil service year book and official calendar

1884
...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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Cambridge University Examination Papers

University of Cambridge - 1884
...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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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 175 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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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...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
...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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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 366 pages
...AG2 = GF* = GH2 = AH2 + A(?, by 243 ; 112 PROBLEM II. 313. To divide a given sect 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. Jf X GIVEN, the sect AB. REQUIRED, to find a point...
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