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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 ... - Pàgina 54
per Robert Simson - 1762 - 466 pàgines
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Transactions, Volum 13

Royal Institution of Chartered Surveyors - 1881 - 532 pàgines
...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...
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The Competitor, Volums 3-4

1883 - 248 pàgines
...together with the square on the aforesaid part. 3. 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. K.— ALjtlra. (Answer two Questions.) 1. Reduce to...
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The College Calendar for the Free Church of Scotland, 1882-82

Free Church of Scotland. College Committee - 1882 - 142 pàgines
...of any parallelogram are equal to one another. 4. 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. 5. Reduce to the simplest form — y - x 6. Find the...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pàgines
...analysis. SUMMARY OF PROPOSITION XI., PROBLEM 1. 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. Cons. — On AB describe the square ACDB (I. 46). Bisect...
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The Cambridge Examiner, Volum 2

1882 - 498 pàgines
...parallels, the parallelogram is double of the triangle. 10. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may equal the square on the other part. 11. If a straight line drawn through the centre of a circle...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pàgines
...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...
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Gibson's London matriculation guide, by J. Gibson [and others].

1882 - 376 pàgines
...difference of the squares on the given straight lines. 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. Prove that a circle cannot be described about a...
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The Practical Teacher, Volum 1,Edició 1

1882 - 676 pàgines
...by the parts. FAG -QEF THE PRACTICAL TEACHER. 2. 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. 3. If the diagonals of a quadrilateral are at right...
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The Oxford examiner, ed. by M.W.I. Shilleto, Edicions 1-5

Mary W I. Shilleto - 1882 - 418 pàgines
...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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Glasgow University Calendar

University of Glasgow - 1883 - 438 pàgines
...are given. When is the problem 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...
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