 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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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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. 
