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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. "
Euclid - Page 138
by Euclid, Rupert Deakin - 1903 - 164 pages
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The elements of algebra. [With] Answers

Robert Fowler - 1861 - 426 pages
...past „ time future, &c. &c. according to the explanations in p. 7. 5. Divide a line а feet long into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Let x = the length of the greater part, in feet. ....
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - Mathematics - 1862 - 330 pages
...contained by the chord joining the points of contact, and the diameter drawn from one of 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...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...straight line into two parts, so that the rectangle contained by them may be the greatest possible. 2. Divide a given straight line into two parts, so that the rectangle contained by them may be equal to a given square. 3. Produce a given straight line, so that the rectangle contained...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...of AD, DB, are double of the squares of AC, CD. Wherefore, if a straight line, &c. QED PROP. XI.— PROBLEM. To divide a given straight line into two parts, so that tlie rectangle contained by the whole and one of the parts shall be equal to the square of the other...
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Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...lines make the alternate angles equal to one another, the two straight lines shall be parallel. 7. 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. 8. Describe a square that shall...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...AD, DB are double of the squares on AC, CD. 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, shall be equal to the square on the other part. Let AB be the given straight...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pages
...-0378642. (2) To find the amount of ll. in 37 years at 4^ per cent, per annum compound interest. 11. 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. State the purpose of a proposition...
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Guide to the Civil service

Henry White - 1864 - 156 pages
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 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 of the other part. 6. Draw a straight line from a...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...AD, DB are double of the squares on AC, CD. Wherefore, if a straight line, &c. QED PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle cnntnined by the whole and one of the parts, shall be equal to the square oii the other part. Let AB...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...of the squares on AC, CD. Wherefore, if a straight liue, &c. QED PROPOSITION XI. PROBLEM. To divitfe 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 otlier part. Let AB be the given straight...
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