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" If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 62
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pages
...triangle. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by those parts. [It may be assumed that parallelograms about the diameter of a square, are likewise squares.]...
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The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...triangle. 5. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 7. On a given straight line describe a segment of a circle containing an angle equal to a given rectilineal...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...up ? 4. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. 5. Describe a square that shall be equal to a given rectilineal figure. 6. Shew that the square...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...respects. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 3. To divide a given straight line into two parts, so that the rectangle contained by the whole...
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...a straight line be divided into any two parts, the square on the whole line is equal to the square on the two parts together with twice the rectangle contained by the parts. 10. If any point be taken in the diameter of a circle which is not the centre, of all the straight...
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The Competitor, Volumes 1-2

1882 - 486 pages
...Prove that if a st aight line be diuJed into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together...with twice the rectangle contained by the two parts. 5. Divide a given straight lite into two parts so that the rectangle contained by the whole line and...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...MECHANICS. (a) 1. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. Divide a straight line into two parts so that the sum of their squares may be the least possible....
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The Competitor, Volumes 3-4

1883 - 248 pages
...line. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. R. — Algebra. (Answer two Questions.) 1. Divide 5i/*+J ayO-ifta' y»+| a»y+{ a* by |3i2+3ay-f...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...shows that ' if a straight line be divided into two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts ; ' or, supposing the data to be two straight lines, the enunciation may be stated : ' The square...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 286 pages
...straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the two parts. A C1 B Let the straight line AB be divided into any two parts in C; then will a.. Upon AB describe...
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