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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.
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 89
by Euclides - 1874

Journal of Education

Education - 1911 - 1332 pages
...K°ing to send for the doctor. GEOMETRY.— XI. 9 TO 11 AM, WEDNESDAY, STH JULY, 1911. 1. Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. 2. If a straight line is divided internally...

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...

Elementary Algebra: First[-second] Year Course, Volume 1

Florian Cajori, Letitia Rebekah Odell - Algebra - 1915 - 240 pages
...proposition 11, of Book II, of the Elements, Euclid solved by drawing lines the problem : To divide a given straight line into two parts, so that the rectangle contained by the whole line and one part of it may be equal to the square on the other part. In algebra, this problem demands the solution...

Elementary Algebra

Charles Godfrey - Algebra - 1918 - 576 pages
...units is inscribed in a circle of diameter 1 3 units ; find its sides. 27. Divide a line 1 foot long so that the rectangle contained by the whole line and one of the parts may be equal to twice the square on the other part. 28. Divide a line 10 inches long eo that the rectangle contained...

Mathematics

David Eugene Smith - Mathematics - 1923 - 200 pages
...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 the line and...