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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... "
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Page 56
by Daniel Cresswell - 1817 - 436 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 332 pages
...contained by the segments AG, GB is equal to the square upon the given straight line C. PROP. XXIX. PROB. To produce a given straight line, so that the rectangle contained by the segments between the extremities of the given line, and the points to which it is produced, may be...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...line. EUCLID S ELEMENTS. PROP. VI. THEOREM. 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 half the line bisected, is equal to the square of the straight line which...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...their sum and difference. PROP. VI. THEOR. 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 half the line bisected, is equal to the square of the straight line, which...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850
...a given rectilineal angle. Section 2. 1. 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 half the line bisected, is equal to the square of the straight line which...
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The English Journal of Education, Volume 4

Education - 1850
...the perpendicular and the obtuse angle. 2. If a right 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 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
...and difference.] BOOK n. PROP. VI. THEOR. 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 half the line bisected, is eqaul to the square of the straight line which...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Book 1

Euclides - Geometry - 1853 - 334 pages
...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 and the part of it produced, together with the square of half the bisected line, shall be equal to the square of the line, which...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...and difference. PROP. VI. — THEOREM. 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 half the line bisected, is equal to the square of tfie straight line which...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...difference. PROPOSITION VI. THEOR. If a straight line be bisected, and produced to any point, lJie rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton, Charles Frederick Mackenzie - Mathematics - 1854 - 266 pages
...parts 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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