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. Introduction and books 1,2 - Page 402by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Euclides - 1884
...When a straight line is divided into two segments, such that the rectangle contained by the whole line **and one of the segments is equal to the square on the** other segment, the straight line is said to be divided in medial section.* B Thus, if AB be divided... | |
| GEORGE BRUCE HALSTED - 1885
...+ 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... | |
| Oxford univ, local exams - 1885
...one 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).... | |
| 1885
...are equal to one another, and that the diagonal bisects it. 6. Divide a 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. Female Candidates for Class I. will omit tit*... | |
| George Bruce Halsted - Geometry - 1886 - 366 pages
...+ AG* = GF* = GH* = AH* + AG*, by 243 J 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... | |
| Dalhousie University - 1887
...section, is equal to the square on half the line. 10. 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. 11. Tf a straight line touch a circle, and from... | |
| Canada. Department of the Interior - 1888
...one of its angles equal to a given rectilineal angle. 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 on the other part, and prove this algebraically also. 4. From a... | |
| New Brunswick. Board of Education - Education - 1889
...angle contained by these two sides is a right angle. -">. Divide a given straight line into two parts, **so that the rectangle contained by the whole and one of the** parts shall !«• i-qual to the square of the other part. Female Candidates for Class I will omit... | |
| E. J. Brooksmith - Mathematics - 1889
...parts, together with the square on the aforesaid part. 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. Describe a right-angled triangle sucl1 that the... | |
| Queensland. Department of Public Instruction - Education - 1890
...necessary in each of the following problems: — (a) 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. (6) To describe a square that shall be equal... | |
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