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" If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected; and of the square on the line made up of the... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 88
by Euclides, James Hamblin Smith - 1872 - 349 pages
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The New Geometry: Form One

G. P. West - Geometry - 1965 - 362 pages
...square on the part produced are together double the sum of the square on half the line bisected and the square on the line made up of the half and the part produced. RIDERS l8l 6. A, B, C, D are four points in order in a straight line. Prove that AB.CD + AD.BC = AC.BD....
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Solutions of the Exercises in Tyler's Euclid

268 pages
...equal to the square on the part produced together with twice the rectangle contained by the line and the line made up of the half and the part produced. Let AB be bisected in C and produced to D. Now B is a pt. hi CD and AC= CB; sq. on BD + 4 rect. CD, CB=sq....
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Elementary Geometry Plane (Classic Reprint)

James McMahon - 2018 - 244 pages
...thus produced and on the part produced, Is twice the sum of the squares on half the original line, and on the line made up of the half and the part produced. Ex. 1 1O3. Four points A, B, C, D are taken in order on a straight line ; prove algebraically that...
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