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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, shall be equal to the square on the other part. "
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 89
by Euclides - 1874
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Transactions, Volume 13

Institution of Surveyors (Great Britain). - Surveying - 514 pages
...the line between the points of 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...
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Transactions, Volume 13

Royal Institution of Chartered Surveyors - Agriculture - 1881 - 532 pages
...the line between the points of 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...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 172 pages
...proposition that corresponds to the algebraical identity — 6 (2a + b) + a' = (a + &)'. 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. From any point P lines are...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...four times thu rectangle contained by fiem. ya straiyht line be divided into any two parts, four timet the rectangle contained by the whole line, and one of the parts, toe/ether with the square of the other part, is equal to the square of the straight line, which it...
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The Competitor, Volumes 1-2

1882 - 476 pages
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. 4. 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 of the other part. 5. To describe a square that...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 288 pages
...parallcllograms are equal, and the diagonal 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 ono of the parts may be equal to the square on the other part. 5. Describe a square that shall...
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The College Calendar for the Free Church of Scotland, 1882-82

Free Church of Scotland. College Committee - Theological seminaries - 1882 - 142 pages
...parallelograms which are about the diameter 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...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 660 pages
...with twice the rectangle contained 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...
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Gibson's London matriculation guide, by J. Gibson [and others].

1882 - 376 pages
...straight lines is equal to the 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...
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The Competitor, Volumes 3-4

1883 - 244 pages
...rectangle contained by the two parts, 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.)...
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