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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 Educational Record of the Province of Quebec: The Medium Through which ... - Side 186
1891
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## Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 sider
...GRIFFIN, MA 1. 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, compute the lengths...
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## Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - 1862 - 330 sider
...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...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 a straight line, which shall...
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## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 sider
...Conclusion. — 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, 47; II. 6.) Given....
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## Responsions

University of Oxford - 1863 - 328 sider
...figure. 6. 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 - 156 sider
...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 given point, either...
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## Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 sider
...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 in the fourth book...
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...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 line. It is required...
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## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...and of the square of the line made up of the half and the part produced. Prop. 11. To divide a given straight line into two parts, so that the rectangle contained by the whole aud one of the parts shall be equal to the square of the other part. Prop. 12. In obtuse-angled triangles,...
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## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...squares on AC, CD. Wherefore, if a straight line &c. QED H PROPOSITION 11. PROBLEM. To divide a. given straight line into two parts, so that the rectangle...parts may be equal to the square on 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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## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 sider
...squares on AC, CD. Wherefore, 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 may lie equal to the square on the other part. Let AB be the given straight line : it is required to divide...
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