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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 Errors, by which Theon, Or Others, Have Long Ago ... - Page 60
by Robert Simson - 1806 - 518 pages
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pages
...angles. Enunciate the propositions 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...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...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 part. (References— Prop. i. 3, 10, 46, 47 ; Ii. 6.) Let AB be the given straight line. It is required to...
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - Mathematics - 1862 - 294 pages
...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 divided. 72. To draw...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...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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Responsions

University of Oxford - Education, Higher - 1863
...Parallelograms upon the same base and between the same parallels are equal to one another. 7. Divide a straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. 8. The three interior angles of every triangle are...
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Guide to the Civil service

Henry White - 1864
...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...parts shall be equal to the square of the other part. 6. Draw a straight line from a given point, either without or in the circumference, which shall touch...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...-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...and one of the parts shall be equal to the square on the other part. State the purpose of a proposition in the fourth book where this problem is required....
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...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 line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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 be the given straight line. It is required to divide AB into two parts,...
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Calendar

Bedford College - 1888
...LEE. 1. Prove that the perpendicular bisectors of the sides of a triangle meet at a point. 2. Divide a straight line into two parts, so that the rectangle contained by the whole and one part shall be equal to the square on the other part. 3. Describe a circle to pass through three given...
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