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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. "
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 89
by Euclides - 1874
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...the squares of 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,...
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Algebraical Exercises, Progressively Arranged

Charles Alfred Jones, Charles Hartwell Horne Cheyne - Algebra - 1867 - 164 pages
...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. EXERCISE LXII....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 contained by the whole and one of the parts may be equal to the square on the other part. Let AB be the given straight line...
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Examination papers collected by A. Clark as a student and as an examiner

1867
...by those two sides is a right angle. 9. Define rectangle ; gnomon. '••/£: , 10. Divide a given 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, jj yi . 1 1. Give construction only for...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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...
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Practical plane and solid geometry, Volume 14

Washington Hudson - 1868
...required ratio, which is represented by the squares с b г/and ach i. Fię. 104. То divide a given straight line into two parts, so that the rectangle contained by the whole line and lesser part, shall be equal to the square on the other. Let AB be the given line. On AB as a side,...
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Annual Report

1868 - 886 pages
...square of the straight line which is made up of the half and the part produced 25 5. Divide a given straight line into two parts, so that the rectangle contained by the whole mid one of the pails shall be equal to the square of the other part 25 100 B. Latt of Pupils recommended...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...squares on AC, CD ; but DG is equal to DB; BOOK II. PROP. XI. 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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The Edinburgh university calendar

Edinburgh univ - 1868
...upon the same base, and upon the same side of it, are between the same parallels. 4. 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. 5. The angles in the same segment...
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