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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 on the line between the points of section, is equal to the square on half the line. "
Special Reports on Educational Subjects - Page 436
by Great Britain. Board of Education - 1912
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...angles to one another. 5. If a straight line be divided into two equal and also two unequal parts, the rectangle contained by the unequal parts together...of section is equal to the square on half the line. If of the two unequal parts one is three times the other, shew by means of the above proposition that...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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...section, is equal to the square on half the line. 2. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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...section, is equal to the square on half the line. ' Let AB be bisected at C and divided unequally at D ; then rect. AD, DB with sq. on CD = sq. on CB....
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...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...section, is equal to the square on half the line. 8. In obtuse-angled triangles, if a perpendicular be 9 drawn from either of the acute angles to the...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...line be divided 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 of an isosceles...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...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...section, is equal to the square on half the line. 6. If a straight line be bisected and produced to any point, the rectangle contained by the whole line...
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A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Book 2

James Blaikie - 1892 - 74 pages
...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...square on the line between the points of section, shall be equal to the square on half the line. 6. If a straight line be bisected and produced to any...
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Sessional Papers, Volume 26, Issue 8

Canada - 1893 - 1092 pages
...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...section, is equal to the square on half the line. 2. The angles in the same segment of a circle are equal to one another. 3. Describe a circle about...
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Annual Report

Canada. Department of the Interior - 1893 - 1280 pages
...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...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. De8t 竹 b0 其...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...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 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 two unequal parts...
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