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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, may be equal to the square of the other part.
The Elements of Euclid, the parts read in the University of Cambridge [book ... - Página 69
por Euclides - 1846
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## The Cambridge Examiner, Volumen4

1884 - 538 páginas
...the two straight lines shall be parallel to one another. 11. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall he equal to the square on the other part. 12. One circle cannot touch another at more points than one,...
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## Elements of Geometry

George Albert Wentworth - 1881 - 266 páginas
...ON CONSTRUCTIONS. PROPOSITION XXI. PROBLEM. 302. To divide a given straight line into equal parts. Let AB be the given straight line. It is required to divide AB into equal parts. From A draw the indefinite line A 0. Take any convenient length, and apply it...
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## The Competitor, Volúmenes1-2

1882 - 486 páginas
...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...parts, shall be equal to the square of the other part. 5. To describe a square that shall be equal to a given rectilineal figure. Euclid, Book III. 1. Equal...
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## Gibson's London matriculation guide, by J. Gibson [and others].

1882 - 376 páginas
...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 be described about a quadrilateral unless the sum...
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## The College Calendar for the Free Church of Scotland, 1882-82

Free Church of Scotland. College Committee - 1882 - 142 páginas
...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 — y - x 6. Find the greatest common measure of—...
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## The Competitor, Volúmenes3-4

1883 - 248 páginas
...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.) 1. Reduce to lowest terms3z3 + 2ax(a + x)...
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## The Practical Teacher, Volumen1,Tema 1

1882 - 676 páginas
...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 are at right angles, the sum of the squares...
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## The Oxford examiner, ed. by M.W.I. Shilleto, Temas1-5

Mary W I. Shilleto - 1882 - 418 páginas
...Find a 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 the rectangle contained by the...
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## The Cambridge Examiner, Volumen2

1882 - 498 páginas
...same 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 - 278 páginas
...Wherefore if a straight line &c. — QED PROPOSITION XI., PROBLEM. 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. Let AT? be the given straight line — It is required...
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