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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. "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 56
by Euclides - 1845
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Sessional Papers, Volume 26, Issue 8

Canada - 1893 - 1092 pages
...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 in...
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Annual Report

Canada. Department of the Interior - 1893 - 1280 pages
...into two un equal parts, the rectangle contained 07 the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 久 乱 生 6 The angles in the same segment of a circle are equal to one another....
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...also into two unequal parts, the sum of the rectangle contained by the unequal parts and the square on the line between the points of section is equal to the square on half the line*. Let the straight line AB be divided into two equal parts at the point C, and into...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...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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Calendar, for the Year ...

1894 - 278 pages
...into two unequal parts, the rectangle contained by the two unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. AB is the diameter of a circle, P any point in it ; CD a chord parallel to AB. On...
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The Manitoba School Question

Frederick Coate Wade - Church and state - 1895 - 168 pages
...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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Examination Papers

University of Toronto - 1900 - 1160 pages
...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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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 568 pages
...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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A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...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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Annual Report of the Commissioners ..., Volume 68

1902 - 482 pages
...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...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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