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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 First Six Books: Together with the Eleventh and Twelfth - Page 62
by Euclid - 1781 - 520 pages
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Transactions, Volume 13

Institution of Surveyors (Great Britain). - Surveying
...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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Gibson's London matriculation guide, by J. Gibson [and others].

1882
...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, Volume 1, Issue 1

Education - 1882
...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, Issues 1-5

Mary W I. Shilleto - 1882
...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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The College Calendar for the Free Church of Scotland, 1882-82

Free Church of Scotland. College Committee - Theological seminaries - 1882 - 113 pages
...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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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...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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The Cambridge Examiner, Volume 2

Education, Higher - 1882
...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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Class lessons on Euclid

Marianne Nops - 1882
...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 Competitor, Volumes 3-4

1883
...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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...the other part. Let AB be the 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...
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