Books Books
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.
A Supplement to the Elements of Euclid - Page 309
by Daniel Cresswell - 1819 - 410 pages

## Science Examinations ... Reports, Etc

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...

## Annual Report - Dept. of Education

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...

## Modern Geometry

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...

## School Algebra, Book 1

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...

## Journal of Education

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...

## Mathematics

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...

## Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

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...