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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

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

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...G, so that FG may be equal to FB; then join AG, and AG will intersect CD at the required point. 40. 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. Let AB be the given straight...

## Elementary geometry

James Maurice Wilson - 1869 - 260 pages
...therefore remembering that AD = DC, we obtain by addition that AB* + BC* = 2AD* + 2DB*. Ex. 3. To divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts is equal to the square of the other part. Let AB be the given line. Construction. Draw a...

## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...squares on ABlt _B02, CAS together, is equal to the sum of those on A Ci, BAt, CB3 together. n. 11. Divide a given straight line into two parts, such that the rectangle contained by the whole and one part may be equal to that contained by the other part and a given straight line. 1863. in....

## Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...velocity of the river and the speed of the boats in still water. (25.) Section B.—Geometry. 27. Show how to divide a given straight line into two parts, such that the rectangle under the whole line and one of the parts may be equal to the square on the other part. Given, a straight...

## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...other. What is the greatest value which these complements, for a given parallelogram, can have ? 3. Divide a given straight line into two parts, such that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Divide a given straight line into...

## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...?arts is equal to the sum of the squares described on the parts, the straight line is bisected. 135. Divide a given straight line into two parts such that the rectangle contained by them shall be the greatest possible. 136. Construct a rectangle equal to the difference of two given...

## The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...the two parts increased by twice the rectangle contained by the two parts. 6. Show how to divide a straight line into two parts such that the rectangle contained by the whole line and one part shall be equal to the square described upon the other part. Prove the construction. 7. Define...

## University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...sides shall be equal each to each, and the third angle of the one to the third angle of the other. 5. Divide a given straight line into two parts such that the rectangle contained by the whole and one part may be equal to the square on the other part. 6. In an isosceles triangle ABC, prove that...