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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 on half the line bisected, is equal to the square on the straight line which is... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 41
by Euclides - 1834
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Annual Report of the Chief Superintendent of Education

1894 - 832 pages
...opposite an acute angle equal to ? 5. If a straight line be bisected and produced to any point the rectangle contained by the whole line thus produced...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line made up of the half and the...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...BC. TE 10 PROPOSITION 6. 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 square on half the line bisected, is equal to the square on the straight line which is made...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...the rectangles into which the largest square is divided. 5. Produce a given straight line so that the rectangle contained by the whole line thus produced, and the part of it produced, may be equal to a given square. 6. Draw a tangent to a given circle from a given point either without...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...rectangle contained by BD and CD. 607. If a straight line is 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 on half the line bisected is equivalent to the square on the straight line which is made up of the...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...difference. PROPOSITION 6. THEOREM. ( If a straight line is bisected and produced to any point, the rectangle contained by the whole line thus produced...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line made up of the half and the...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 558 pages
...side a line equal and parallel to AH. 5. If a straight line be bisected and produced to any point, th rectangle contained by the whole line thus produced,...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half...
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Annual Report of the Commissioners ..., Volume 68

1902 - 482 pages
...to the square of the whole line. 5. If a straight line be bisected and be produced to any point, the rectangle contained by the whole line thus produced...which is made up of the half and the part produced. 6. In any triangle the square of a side subtending an acute angle is less than the sum of the squares...
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The School World: A Monthly Magazine of Educational Work and Progress, Volume 4

Education - 1902 - 678 pages
...straight line. Either B.— BOOK II. (7) If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...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...the part of 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...
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Calendar of the University of Sydney

University of Sydney - 1903 - 662 pages
...its diagonals parallel to AB and AD respectively. 6. If a straight line is bisected and produced the rectangle contained by the whole line thus produced,...the part of it produced, together with the square on half the line bisected, is equal to the square on the. line made up of half the line and the part...
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