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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 may be equal to the square on the other part.
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 57
by Euclid, James Thomson - 1837 - 390 pages

## The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...two right angles. 4. 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. 5. The diameter is the greatest straight line in a circle ; and, of all others,...

## Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...PROPOSITION XI., PROBLEM. To 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. Let AT? be the given straight line — It is required to divide it into two parts,...

## Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pages
...in this proposition ? 4. 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. 5. Describe a square that shall be equal to a given rectilineal figure. 6. Define...

## Glasgow University Calendar

University of Glasgow - 1883 - 438 pages
...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 the length of the smaller...

## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...given straight line : it is required to divide it into two parts, go that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. On AB describe the square ABDG; [I. 46. bisect AC at E; [1. 10. join BE ; produce...

## Military examinations. Mathematical examination papers set at an open ...

Civil service commission - 1883 - 62 pages
...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 point of the longer part A...

## Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...and parallel. 2. To 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. (LEGENDRE.) 1. In an isosceles triangle the angles opposite the equal sides are...

## Cambridge University Examination Papers

University of Cambridge - 1884 - 624 pages
...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 equal to the difference of...