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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 Geometry, Symbolically Arranged - Page 60
by Great Britain. Admiralty - 1846
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...eight questions ordinary abbreviations may be employed, but the method of proof must be geometrical^ 1. If a straight line be divided into two equal parts...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 - Education - 1890 - 526 pages
...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 - Geometry - 1890 - 420 pages
...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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Numbers: Their Occult Power and Mystic Virtue: Being a Résumé of the Views ...

William Wynn Westcott - Symbolism of numbers - 1890 - 64 pages
...between the parts. All even numbers also (except the duad — two — which is simply two unities), may be divided into two equal parts, and also into two unequal parts, yet so that in neither division will either parity be mingled with imparity, nor imparity with parity...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 5. If a straight line be divided into two equal parts,...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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Examinations Papers

1891 - 644 pages
...triangle is equal to the sum of the squares on the other two, the latter contain a right angle. 4. If a line be divided into two equal parts, and also into...contained by the unequal parts, together with the square on the part between the points of section, is equal to the square on either of the equal parts. 5....
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 2

James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...the other part, shall be equal to the square on the line made up of the whole and the first part. 9. If a straight line be divided into two equal parts, and also into two unequal parts, the sum of the squares on the two unequal parts shall be double the sum of the squares on half the line...
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Sessional Papers, Volume 26, Issue 8

Canada - 1893 - 1092 pages
...them ? FULL EXAMINATION FOR ADMISSION AS SUEVEYOR. I'LANE GEOMETRY AND MENSURATION. Time, 3 Hours. 1. If a straight line be divided into two equal parts...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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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...either double of the rectangle AE, EB, or equal to the sum of the squares on AE, EB. PROPOSITION 5. If a straight line be divided into two equal parts and 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...
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Annual Report

Canada. Department of the Interior - 1893 - 1280 pages
...@ Ⅰ6 @ aⅡdthO 杖 Ⅱ ぎ ね @@3・F@ⅡdⅠ081d08・ @ of the mothe T 4 l Ⅰ 甘 、 拙 " If a straight line be divided into two equal parts and also into two un equal parts, the rectangle contained 07 the unequal parts, together with the square on the line...
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