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" AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 54
των Robert Simson - 1781 - 466 σελίδες
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...bisects them. What is the hypothesis 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...

The student's guide to the University of Durham, with information respecting ...

1880 - 144 σελίδες
...*the rectangle contained by the two parts. (viii.) 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. 5. If the distances of a point from two given straight...

Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 σελίδες
...double the squares on BC and CD. FS PROP. XI. PROBLEM. To divide a 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. Let AB be a straight line. It is required to divide...

Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 207 σελίδες
...parts are also themselves equal 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. 3. The opposite angles of any quadrilateral figure inscribed...

Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...equal to the difference of the squares on AB, BC. 5. 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. 6. If two circles touch each other externally in any...

(Report).

Elizabethan club - 1880
...on OA and AB is equal to the rectangle OB . OC. 6. 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. 7. If a straight line touch a circle, and from the...

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

Isaac Todhunter - 1880 - 400 σελίδες
...the other part. Let AB be the given straight line : it is required to divide it 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. On AB describe the square ABDC; [I. 46. bisect AC at...

Transactions, Τόμος 13

Royal Institution of Chartered Surveyors - 1881
...section, is equal to the square of half the line. 8. 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 of the other part. 9. If in a circle two straight lines cut one another...

Transactions, Τόμος 13

Institution of Surveyors (Great Britain).
...section, is equal to the square of half the line. 8. 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 of the other part. 9. If in a circle two straight lines cut one another...

The Oxford examiner, ed. by M.W.I. Shilleto

Mary W I. Shilleto
...square which shall be equal to three given squares. 2. 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. Produce a given straight line to a point such that...




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