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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... "
The first six books of the Elements of Euclid, with numerous exercises - Page 38
by Euclides - 1853 - 147 pages
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The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 394 pages
...the theorem : If a sect 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 sect bisected, is equivalent to the square on the line which is made up of the half and...
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Calendar of Dalhousie College and University

Dalhousie University - 1889 - 220 pages
...of i.-V/sT 4. If a straight line be bisected and produced to any point, the rectangle of the whole line thus produced and the part of it produced together...half the line bisected is equal to the square of the line which is made up of the half and the part produced : also deduce the geometrical proof of the...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...DF. 3. 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 made up of the half...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...and the part 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 and the part produced. Let AB be bisected at C and produced to D ; ACBD K 7TT M GV then rect. AD, DB with sq. on CB=sq. on CD....
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...— If a straiglit 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 the half of the bisected line, is equal to the square on the straight line made up of the half and...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...Class. 2. 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 made up of the half...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...straight line be bisected, and produced to any point, prove that 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 made up of the half...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...times the rectangle of the whole line and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole line and that part. PROPOSITION XXIV. 218. Theorem: The square of the hypotenuse of a right-anglefl...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...and the part 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 and the part produced. 7. If a straight line be divided into any two parts, the squares on the whole line and on one of the...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 2

James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...line. 6. 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, shall be equal to the square on the line made up of the half and the part...
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