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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 ... - Página 52
por Euclides - 1814
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...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.) - 1902 - 227 páginas
...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 ..., Volumen68

1902
...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 on© 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, Libro 1

Euclid - 1904 - 456 páginas
...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 ..., Volumen73

1907
...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 ..., Volumen1

United States. Bureau of Education - 1907
...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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Report of the Commissioner of Education, Volumen1

United States. Office of Education - 1907
...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, Tema 22

Association of Ontario Land Surveyors - 1907
...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 the ...

United States. Bureau of Education - 1907
...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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Books 3-9

Euclid - 1908
...Pythagoreans. The construction of this triangle depends upon n. n, or the problem of dividing a straight line so that the rectangle contained by the whole and one of the parts is equal to the square on the other part. This problem of course appears again in Eucl. vi. 30 as the...
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