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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. "
A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 19
av W J. Dickinson - 1879 - 36 sider
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...of it, the angle contained by these two sides is a right angle. 4. 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. 5. To describe a square that shall...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...Any two sides of a triangle are together greater than the third. 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 on the other part. If the given line be a foot long,...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...Therefore, if a straight line, &c. QED 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 shall be equal to the square on the other part. (References— Prop. I. 3, 10, 46,...
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - 1862 - 294 sider
...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....
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Responsions

University of Oxford - 1863
...to the squares described on the sides which contain the right 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. To a given straight line apply a...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...one of the angles of an equilateral triangle. 8. Draw a straight line 2'76 inches long, and 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. FREE-HAND DRAWING. REV. W. KINGSLBY,...
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Guide to the Civil service

Henry White - 1864
...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 given...
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Algebraical exercises progressively arranged, by C.A. Jones and C.H.H. Cheyne

Charles Alfred Jones - 1865
...« What is the infinite geometric series of which the sum is 2f"j and the second term — -3 ' ¿ 7. IF a straight line be divided into two parts so that the rectangle contained by the whole line and one part is equal to six times the square of the other part; find the ratio of the parts....
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...AC, CD. Wherefore, if a straight line, &c, QED PROP. XL— 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 of the other part. (References — Prop. 1 3, 10, 46,...
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Algebraical Exercises, Progressively Arranged

Charles Alfred Jones, Charles Hartwell Horne Cheyne - 1867 - 164 sider
...ЗАО \Vhat is the infinite geometric series of which the sum is 2 j1^ and the second term — - ? 7. If a straight line be divided into two parts so that the rectangle contained by the whole line and one part is equal to six times the square of the other part ; find the ratio of the parts....
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