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" If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made... "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 83
by Euclides - 1871
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...Ex. 1O99. If a straight line AB (length 2.x) is bisected at O, and produced to any point P(OP = y) the rectangle contained by the whole line thus produced...it produced, together with the square on half the original line, is equal to the square on the straight line made up of the half and the part produced....
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Euclid, Book 1

Euclid, Rupert Deakin - Euclid's Elements - 1903 - 218 pages
...will the rectangle under the parts be. PROP. 6. — Theorem. — If a straight line be bisected ana produced to any point, the rectangle contained by the whole line thus produced and the part produced, together with the square on half the line bisected, is equal to the square on the line made...
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Calendar of the University of Sydney

University of Sydney - 1903 - 662 pages
...triangle ABC is one-fourth that of the triangle ABC. 4. If a straight line is bisected and produced, the rectangle contained by the whole line thus produced and the part produced, together with the square on half the line bisected, is equal to the square on the straight...
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Calendar, for the Year ...

1903 - 188 pages
...such that the perpendiculars drawn from it to two given straight lines which intersect are equal. 3. If a straight line be bisected, and produced to any point, the sum of the rectangle contained by the whole line thus produced and the part of it produced, and the...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...rectangle which is equal to the square, find the other side. 40. Produce a given straight line so that the rectangle contained by the whole line thus produced and the part produced, may be equal to the square on another given line. 41. Produce a given straight line so that...
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...how to find the side of a square equal to a given rectangle. Produce a given straight line so that the rectangle contained by the whole line thus produced and the part produced may be equal to the square on another given straight line. (20) 22. State what is meant when...
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Annual Report of the Department of Education ..., Volume 4, Part 1911; Volume 6

Alberta. Department of Education - Education - 1912 - 244 pages
...middle points of the sides of a triangle is parallel to the base and equal to one half of it. 8 3. If a straight line be bisected and produced to any point, the sum of the squares on the whole line thus produced and on the part produced is twice the sum of the...
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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...the square on AC is less than the sum of the squares on AD, DB by twice the rectangle AD.DB. Ex. 65. If a straight line be bisected and produced to any point, the square on the whole line thus produced is equal to the square on the part produced together with twice...
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Developing Thinking in Algebra

John Mason, Alan Graham, Sue Johnston-Wilder - Business & Economics - 2005 - 342 pages
...'speaks the area diagram' before converting to symbols Euclid Book ll Prop 6 if a straight line is bisected and produced to any point, the rectangle contained by the whole line thus produced, together with the square on half the line bisected, is equal to the square on the straight line made...
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Journal, Volume 13

Industrial arts - 1865 - 564 pages
...its angles equal to a given rectilineal angle. 4. If astraight line be bisected and produced toany point, the rectangle contained by the whole line thus...square on the straight line which is made up of the halt and the part produced. 5. Draw a straight line from a given point either without or iu the circumference,...
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