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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...inscribed. Otherwise. " Divide the radius of the given circle, so that the rectangle contained " by the whole and one of the parts may be equal to the square of the other " (11. 2.). . Apply in the circle, on each side of a given point, a line " equal to the greater of...
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Proceedings

Scotland free church, gen. assembly - 1847 - 554 pages
...right angle. 3. Divide a given line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. 4. The angle in a semicircle is a right angle. 5. Of unequal chords in a circle the greater is...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, James Thomson - Geometry - 1845 - 382 pages
...PROP. XI. PROB. — 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. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1845 - 222 pages
...Cape, ii. 38.) 59. 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. (Euclid, iii. 1 6, 36. Cape, ii. 38 and iii....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...PROP. XI. PROB. 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. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1849 - 332 pages
...Otherwise. " Divide the radius of the given circle, so that the rectangle contained " by the whole and qpe of the parts may be equal to the square of the other "(11. 2.). Apply in the circle, on each side of a given point, a line ' equal to the greater of these...
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Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 pages
...Euc. II. 11. To divide a given finite straight line into two part*, so that the rectangle contained by the whole and one of the parts may be equal to the square of the other jjart. '2. Prove Kuc. 1. 36. Parallelograms upon equal bases, and between the same parallels, ore equal...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1850 - 942 pages
...Euc. II. 11. To divide a given finite straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the squire of the other part. 4. Prove Euc. III. 22. The opposite angles of any quadrilateral figure inscribed...
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An Introduction to Algebra, and to the Solution of Numerical Equations

John Radford Young - 1851 - 266 pages
...is 41, and the sum of whose squares is 901. (7) Divide 20 into two parts, such that the product of the whole and one of the parts may be equal to the square of the other part. (8) A person bought a certain number of sheep for 60 ; and having reserved 15, sold the remainder...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Geometry - 1853 - 336 pages
...inscribed. Otherwise. " Divide the radius of the given circle, so that the rectangle contained " by the whole and one of the parts may be equal to the square of the othe* "(II. 2.). Apply in the circle, on each side of a given point, a. line •' equal to the greater...
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