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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... "
The Elements of geometry; or, The first six books, with the eleventh and ... - Pagina 37
door Euclides - 1855
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - 1850 - 790 pagina’s
...triangle, and have one of its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be bisected and produced to any point, the rectangle...line bisected, is equal to the square of the straight line which is made up of the half, and the part produced. 2. If a point be taken within a circle from...
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Papers for the Schoolmaster, Volume 2

1852 - 316 pagina’s
...equal to the squares described upon the sides which contain the right angle. 11. If a straight line bo bisected and produced to any point ; the rectangle contained by the whole line thus produced, together with the square of half the line bisected, is equal to the square of the straight line which...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pagina’s
...equal to the rectangle contained by their sum and difference.] BOOK n. PROP. VI. THEOR. If a straight line be bisected, and produced to any point: the rectangle...together with the square of half the line bisected, is eqaul to the square of the straight line which is made up of the half and the part produced. Let the...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pagina’s
...equal to the rectangle contained by theif sum and difference. PROP. VI. — THEOREM. If a. straight line be bisected, and produced to any point, the rectangle...half the line bisected, is equal to the square of tfie straight line which is made up of the half and the part produced. Let the straight line AB be...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...difference. PROPOSITION VI. THEOR. If a straight line be bisected, and produced to any point, lJie rectangle contained by the whole line thus produced,...line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected in C,...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Boek 1

Euclides - 1853 - 334 pagina’s
...was to be proved. PEOP. VI. THEOE. If a straight line be bisected, and produced to any point : then the rectangle contained by the whole line thus produced...it produced, together with the square of half the bisected line, shall be equal to the square of the line, which is made up of the half and the part...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pagina’s
...to the rectangle contained by their sum and difference. PROPOSITION VI. — THEOREM. If a straight line be bisected, and produced to any point, the rectangle contained by the whqle line thus produced, and the part of it produced, together with the square of half the line bisected,...
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Solutions of the problems and riders proposed in the Senate-house ...

Cambridge univ, exam. papers - 1854 - 284 pagina’s
...shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. In Euclid's figure, the rectangle...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton, Charles Frederick Mackenzie - 1854 - 266 pagina’s
...shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. In Euclid's figure, the rectangle...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 334 pagina’s
...SCHOLIUM. PROP. VI THEOR. If a straight line be bisected, and produced to any point; the rectangle contamed by the whole line thus produced, and the part of it...line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected in C,...
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