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" AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. "
A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV. - Página 162
por Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
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Annual Report of the Commissioners ..., Volumen68

1902
...a parallelogram, equal to a 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...
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Manual

1903
...this circle and find by measurement the ratio of PA to PB. Show all details of construction. Or, 2A. Divide a given straight line into two parts so that the rectangle contained bv the straight line and one part shall be equal to the square on the other part. •1. Prove that...
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A Text-book of Euclid's Elements for the Use of Schools, Libro 1

Euclid - 1904 - 456 páginas
.... QB + AB2 n. 7. = 2AQ . QB + 4PB2 n. 4, Cor. 2. 150 EUCLID-S ELEMENTS. PROPOSITION 11. PROBLEM. To 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. Let AB be the given straight line....
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Responsions: Papers in Stated Subjects-exclusive of Books-, 1901-1906

University of Oxford - 1907 - 152 páginas
...meet AB produced in 0. If CG is joined, prove that the triangles ABF &nd CFG are equal in area. 6. (b) Divide a given straight line into two parts so that the rectangle contained by those parts may be equal to the square on a given straight line, the length of the second given line...
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Report of the Commissioner of Education Made to the Secretary of ..., Volumen1

United States. Bureau of Education - 1907
...to the squares on the two 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...
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Annual Report of the Association of Ontario Land Surveyors, Tema 22

Association of Ontario Land Surveyors - 1907
...two right angles. 4. Inscribe an equilateral triangle in a given circle; trisect a 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...
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1908
...will be allowed to pass who fails to obtain marks in any one of the three sections. A. 21. Show how to divide a given straight line into two parts, so that the rectangle under the whole line and one part mar be equal to the square on the other part. Draw a line, say about...
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Elementary Algebra: First[-second] Year Course, Volumen1

Florian Cajori, Letitia Rebekah Odell - 1915
...construction. In proposition 11, of Book II, of the Elements, Euclid solved by drawing lines the problem : To divide a given straight line into two parts, so that the rectangle contained by the whole line and one part of it may be equal to the square on the other part. In algebra, this problem...
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Solutions of the Exercises in Tyler's Euclid

...times as great as AC; .: A cannot lie within a concentric O whose radius = \ radius of GDBE. 251 , 4. Divide a given straight line into two parts, so that the rectangle contained by the parts may be equal to a given rectangle. Let AB be given str. line. Through A draw a str. line...
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Parliamentary Papers, Volumen30

Great Britain. Parliament. House of Commons - 1853
...sides which contain the right angle. Is this proposition included in any more general one? (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 of the other part. Can this be solved...
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