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" If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. "
The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Side 55
av Robert Simson - 1775 - 520 sider
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...sum of the squares on the other pair. 5. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 6. The opposite...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...with the square on the aforesaid part. 6. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 7. To a...
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THE ELEMENTS OF GEOMETRY.

GEORGE BRUCE HALSTED - 1885
...BD put a, and for DC put b, we get the theorem : If a sect is divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equivalent to the square on half the sect. 297....
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Senate Documents, Otherwise Publ. as Public Documents and Executive ..., Volum 3

United States. Congress. Senate - 1880
...the line (.'/•' pa>-« through A. '¿. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Prove that...
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The Elements of Geometry

George Bruce Halsted - 1886 - 366 sider
...BD put a, and for DC put b, we get the theorem : If a sect is divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equivalent to the square on half the sect. 297....
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Calendar of Dalhousie College and University

Dalhousie University - 1887
...also themselves equal and parallel. 9. If a straight line !>e divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 10. Divide...
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Annual Report

Canada. Department of the Interior - 1888
...are parallel to each other. 3. Show that if a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 4. Show...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 132 sider
...method of proof must be geometrical^ 1. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 2. In obtuse-angled...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...equivalent to sqs. on AC, CB. PROPOSITION 5. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. ' Let AB...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...these two sides is a right angle. 7. If a straight line be divided into two equal parts, and 11 also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 8. In obtuse-angled...
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