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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; viz. the first six books, together with the eleventh ... - Page 3-16
by Euclides - 1814
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Calendar of the University of Sydney

University of Sydney - 1900 - 646 pages
...will be formed whose area is half that of the given quadrilateral. 3. 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. 4. In equal circles the arcs which subtend equal...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...having a given area, that which has the least perimeter it isosceles. 3. 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. If the line be divided so that nine times the rectangle...
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Euclid, His Life and System

Thomas Smith (D.D.) - Euclid's Elements - 1902 - 244 pages
...till Euclid gave it them, but the truths demonstrated in the propositions. tained by the whole line and one of the parts shall be equal to the square of the other part. As the very conception of a rectangle and a square involves a reference to parallel lines, our remark...
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Annual Report of the Commissioners ..., Volume 68

1902 - 482 pages
...given, rectilineal figureand having an angle equal to a given angle. 2. Divide a given straight line into two parts, so that the rectangle contained by the whole and onŠ of the parts may bo equal to the square of the other part.- •- --- Appendix. Section HI., n....
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...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 and one part may be equal to the square on the other part. Construction. On AB describe the square ACDB. I....
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Annual Report of the Commissioners ..., Volume 73

1907 - 608 pages
...the poiuts of section, is equal to the square of half the line. 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. SECTION B. 5. Jf one angle of a triangle be equal to the sum...
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Report of the Commissioner of Education Made to the Secretary of ..., Volume 1

United States. Bureau of Education - Education - 1907 - 724 pages
...parts, together with twice the rectangle contained by (lie two parts. 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. The following is a list of the names of the Rhodes scholars...
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Annual Report, Volume 1

United States. Office of Education - Education - 1907 - 720 pages
...with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parta, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. The following is a list of the names of the Rhodes scholars...
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Annual Report of the Association of Ontario Land Surveyors, Issue 22

Association of Ontario Land Surveyors - Surveying - 1907 - 218 pages
...right angle. 5. To divide a given straight line into two parts so that the rectangle contained under the whole and one of the parts shall be equal to the square on the other part. 6. The sum of the perpendiculars let fall from any point within an equilateral triangle...
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Report of the Commissioner of Education Made to the Secretary of ..., Volume 1

United States. Bureau of Education - Education - 1907 - 732 pages
...with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parte, so that the rectangle contained by the whole and one of the parte may be equal to the square on the other part. The following is a list of the names of the Rhodes...
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