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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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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 sider
...but the 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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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 526 sider
...by 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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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 420 sider
...into two equal and also into two unequal parts, the rectangle of the unequal parts with the square on the line between the points of section, is equal to the square on half the line. (Euclid, B. II, prop. 5). 49. The square on the straight line, drawn from the vertex...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 sider
...twice the 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 straight...
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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
...twice 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. If a straight...
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Sessional Papers, Volum 26,Utgave 8

1893 - 1092 sider
...I'LANE 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 in...
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Annual Report

Canada. Department of the Interior - 1893 - 1280 sider
...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, Bøker 1-6

Henry Martyn Taylor - 1893 - 486 sider
...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 - 1894 - 150 sider
...another and the 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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Calendar, for the Year ...

1894 - 278 sider
...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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