| 1904 - 386 pages
...the parts. Give a geometrical illustration of the identity (a — 6)2 = a2 + b* - 2ab, and show how **to divide a given straight line into two parts such that the** sum of the squares on the two parts may be the least possible. (20) 22. Given two points A and B, show... | |
| Saskatchewan. Department of Education - Education - 1906 - 188 pages
...triangle, and any rectilineal 'figure. 3. (a) Describe a square equal to the sum of n squares. (6) **To divide a given straight line into two parts such that the** difference of the squares on the parts may be equal to a given square. (c) Point out the three cases... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry, Modern - 1912 - 190 pages
...meet in E. Prove that } = {EALD}=X{KCYD}, and that XYZ is a straight line. APPENDIX. THE PENTAGON. **To divide a given straight line into two parts such that the** square on the greater part may be equal to the rectangle contained by the whole line and the smaller... | |
| George Wentworth, David Eugene Smith - Algebra - 1913 - 312 pages
...area would be doubled by increasing its radius 1 in. (Take 3} for тг.) 30. Divide a line 20 in. long **into two parts, such that the rectangle contained by the whole line and one** part may be equal to the square on the other part. Exercise 150. Review of Chapters I-XVII Solve the... | |
| George Wentworth, David Eugene Smith - Algebra - 1913 - 478 pages
...area would be doubled by increasing its radius 1 in. (Take 3} for тт.) 30. Divide a line 20 in. long **into two parts, such that the rectangle contained by the whole line and one** part may be equal to the square on the other part. Exercise 215. Review of Chapters I-XVIII Solve the... | |
| Education - 1914 - 914 pages
...Describe a square that shall be equal to a given rectilineal I figure. 6. Divide a given straight line so **that the rectangle contained by the whole line and one of its parts** may be equal to the square on the other part. 7. I Given the base, altitude, and the radius of the... | |
| David Eugene Smith - Mathematics - 1923 - 200 pages
...the mean proportional between two lines or two numbers. He also seems to have been able to divide a **line into two parts such that the rectangle contained by the whole line and one of** the parts is equal to the square on the other part. Expressed algebraically, if a is the length of... | |
| Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...this can be done by employing the properties of similar triangles. CONSTRUCTION OF REGULAR PENTAGON. **To divide a given straight line into two parts such that the** square on the greater part may be equal to the rectangle contained by the whole line and the smaller... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1870 - 722 pages
...external segment of the base made by a straight line bisecting the external angle at the vertex 1 4. **Divide a given straight line into two parts, such that the rectangle** under the whole and one of them may have a given ratio to the square of the other. 5. Show that, if... | |
| University of Bombay - 1907 - 328 pages
...rigorously that if two squares are of equal area, their sides are equal and conversely. 3. Divide a **straight line into two parts such that the rectangle contained by the whole line and one of** the parts shall be equal to the square on the other part. Divide a given straight line into two parts... | |
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