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" IF a 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 parts. "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 3-7
by Euclides - 1814
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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - Geometry - 1887 - 202 pages
...the whole line is equal to four times the square on either half. Prop. 4 may be enunciated thus: — If a straight line be divided into any two parts, the square on one part is less than the square on the whole line by twice the rectangle contained by the parts...
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...to a given straight line, 15 — 2**** 5. Describe a square upon a given straight liue. 6. Show that 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...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...with adjacent sides equal and parallel to HB, will be equal in area to these two parallelograms. 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...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...parallelograms, which are about the diameter or diagonal of any parallelogram, are equal to one another. 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...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. G. 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...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...(in sq. in. ) = pr, = (q + r)r, = area of reet. AC, CB + a re a ofsq. on CB . PROPOSITION 4. THEOREM. 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...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...equation G)*+4 = (2S)3-r+2, given log10 5 = '6989700. II.— EUCLID AND TRIGONOMETRY. 1. Show that 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...
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Prolusiones praemiis anniversariis dignatae et in auditorio recitatae ...

Harrow School - 1890 - 172 pages
...be drawn from the given point to the given line. 3. Describe a square upon a given straight line. 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...
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Annual Report of the Chief Superintendent of Education

1891 - 718 pages
...described upon the other two sides of it, the angle contained by those two sides is я right angle. 5. If a straight line be divided into any two parts,...the square of the whole line is equal to the squares on the two parts together, with twice the rectangle contained by the parts. Female Candidates for Class...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...equal to the rectangle contained by the two parts, together with the square on the aforesaid part. 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...
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