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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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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 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 - 526 sider
...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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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 sider
...rectangle contained by the two parts. 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. If a...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Bok 2

James Andrew Blaikie, William Thomson - 1892 - 74 sider
...the rectangle contained by the parts. 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, shall be equal to the square on half the line. 6....
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Sessional Papers, Volum 26,Utgave 8

1893 - 1092 sider
...GEOMETRY AND MENSURATION. Time, 3 Hours. 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. The angles...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - 1894 - 150 sider
...diagonal bisects the parallelogram. 4. 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. 5. To construct...
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The Manitoba School Question

Frederick Coate Wade - 1895 - 168 sider
...having an angle equal to a given angle. 4. 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. Construct...
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Examination Papers

University of Toronto - 1900 - 1164 sider
...MATRICULATION. GEOMETRY. Examiner: HJ DAWSON, BA 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. (II. 5.)...
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Calendar of the University of Sydney

University of Sydney - 1902 - 640 sider
...parallels to the sides, shall be a rhombus. 4. If a straight line be divided into two equal 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 on half the line. 5. Shew how...
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Annual Report of the Commissioners ..., Volum 68

1902 - 482 sider
...either of the interior remote angles. 4. 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. 5. If a...
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