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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 on the other part. "
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 57
by Euclid, James Thomson - 1837 - 390 pages
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A treatise on the elements of algebra, by G. Ainsworth and J. Yeats

G. Ainsworth - 1854 - 216 pages
...— - = -- (-4, and solving, x=lo. 3. Divide the number 20 into two such parts, that the product of the whole and one of the parts may be equal to the square of the other part. Let 2ж=; the difference of the two parts. Now, 20 being the sum, 10 + ж= the greater part,...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...angles of a triangle be equal, the sides opposite to them are also equal. 3. Divide a straight line into two parts, so that the rectangle under the whole, and one part, may be equal to the square of the other part. If the diagonals of a quadrilateral be equal and...
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The elements of algebra

Archibald Montgomerie - Algebra - 1857 - 116 pages
...each. Ans. 100 at 30s. (25.) Divide a given line a, into two such parts that the rectangle contained by the whole and one of the parts may be equal to the square of the other. , 3+ ^'5 , 3— 4/5 Ans. a — ^— , and a — ~— . (26.) Find a fraction which is greater than...
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Elements of algebra

Philip Kelland - 1860 - 308 pages
...of running. 19. To divide a line 12 inches long into two such parts that the rectangle contained by the whole and one of the parts may be equal to the square of the other part. (Euclid, 2, 11). 20. To divide a given line (a) into two such parts that the square described...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...8. Divide a given straight line into two parts, such that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. PRELIMINARY GENERAL EXAMINATION. Christmas, 1864. WEDNESDAY, December 21sf.— Afternoon, 3 to...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...required in the proof. 3. To divide a straight line into two parte so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 4. If a straight line touch a circle and from the point of contact a straight line...
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - Mathematics - 1862 - 330 pages
...these points. 71. 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 a given line, which is less than the line to be divided. 72. To draw a straight line, which shall touch...
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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...a greater angle. 8. 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. 9. Parallelograms on the same base and between the same parallels are equal to one...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...let fall upon it from the opposite angle s. . . n. 13. Problems. 1. To divide a given straight line into two parts, so that the rectangle under the whole and one of the parts is equal to the square on the other part . . . . . . n. 11. 2. To describe a square that shall be equal...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...PROPOSITION 11. 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 AB be the given straight line : it is required to divide it into two parts,...
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