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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. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 56
av John Playfair - 1832 - 333 sider
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The Manitoba School Question

Frederick Coate Wade - 1895 - 168 sider
...and 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 a rectangle...
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Annual Report of the Commissioners ..., Volum 64

1898 - 830 sider
...of a quadrilateral bisect each other it is a parallelogram. 3. If a line be divided into two equal and also into two unequal parts the rectangle contained by the unequal [»arts is less than the square of half the Hue by the square of the line between the points of section....
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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.) Divide...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Bok 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...equally and also unequally, 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. A (X. p £ QB H I. 46. I. 31. I. 43. C ED Let the straight line AB be divided equally...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 566 sider
...equally and unequally, show that the rectangle contained by the unequal parts together with the square ou the line between the points of section is equal to the square on half the line. 11. If from a point on the circumference of a circle a tangent and a chord be drawn...
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Calendar of the University of Sydney

University of Sydney - 1901 - 644 sider
...third side, then the two sides contain a right angle. 6. If a straight line is divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, etc. Complete this examination and prove the theorem. 7. ABCD is a square, each side of which is eight...
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Annual Report of the Commissioners ..., Volum 68

1902 - 482 sider
...greater than 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...section, is equal to the square of half the line. 5. If a straight line be divided into any two parts, the squares of the whole line and of one of the...
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Calendar of the University of Sydney

University of Sydney - 1902 - 640 sider
...drawing 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...between the points of section is equal to the square on half the line. 5. Shew how to divide a given straight line internally or externally so that the...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 488 sider
...equally and also unequally, 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. I. 46. I. 31. I. 43. Let the straight line AB be divided equally at P, and unequally...
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Science Examinations ... Reports, Etc

1904 - 386 sider
...unequal parts; show that 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. A straight line is divided into two parts; show that the rectangle contained by the...
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