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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 ... - Página 43
por Euclides - 1814
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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - 1887 - 180 páginas
...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
...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 - 1889
...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

New Brunswick. Board of Education - 1889
...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 - 1890
...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 - 515 páginas
...(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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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 páginas
...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 - 70 páginas
...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
...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, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 páginas
...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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