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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 Principles of Analytical Geometry: Designed for the Use of Students - Page 7
by Henry Parr Hamilton - 1826 - 326 pages
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...XI. — 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. It is required to divide AB into two parts, so that the rectangle contained by the whole and one of...
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Annual Report of the Chief Superintendent of Education

1885 - 608 pages
...bisects it. 6. 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. Female Candidates for Class I. will omit tit* 1st ami 4th of the preceding questions, and work the...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...that the rectangle AC . BD = AB . CD + BC . AD. 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and...parts shall be equal to the square of the other part. 5. Equal straight lines in a circle are equally distant from the centre. Through the middle points...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...to a given angla 4. Divide a given 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. Find a line the square of which shall be equal to the sum of the squares on three given straight...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...TRIGONOMETRY. 1. 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. Solve this problem also algebraically. If the rectangle be double of the square, how will the line...
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Euclid, His Life and System

Thomas Smith (D.D.) - Euclid's Elements - 1902 - 244 pages
...their present order till Euclid gave it them, but the truths demonstrated in the propositions. tained by the whole line and one of the parts shall be equal to the square of the other part. As the very conception of a rectangle and a square involves a reference to parallel lines, our remark...
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Parliamentary Papers, Volume 30

Great Britain. Parliament. House of Commons - Bills, Legislative - 1853 - 520 pages
...one? (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 of the other part. Can this be solved arithmetically.? If so, find approximately into how many parts the given line must...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...by the parts. 10. 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. 11. In a circle the angle in a semi-circle is a right angle. If two sides of a triangle be given the...
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Test Examples in Algebra: Especially Adapted for Use in Connection with ...

Edward Olney - Algebra - 1870 - 114 pages
..., 0r3a ・ (47,) It is required to divide 20 into two such parts, that the pro duct of the whole and one of the parts, shall be equal to the square of the other.Parts, 10\/5 @ 10, and 30 @ 10v/5. (48,) A railway train, after travelling 2 hours, is detained...
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