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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 Elements of Geometry, Symbolically Arranged - Page 62
by Great Britain. Admiralty - 1846
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The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...triangle between 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...of the straight line which is made up of the half and the part produced. SECTION IV. 1. If two circles cut each other they shall not have the same centre....
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...angles equal to 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...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 which there tall more than two straight...
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Papers for the Schoolmaster, Volume 2

1852 - 316 pages
...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...of the straight line which is made up of the half and the part produced. ANSWERS TO THE EXAMINATION PAPER ON SCHOOL MANAGEMENT* (CONTINUED FROM NO. XVIII.)...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...their sum 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...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 pages
...by theif sum and difference. PROP. VI. — THEOREM. If a. straight line be bisected, and produced to any point, the rectangle contained by the whole line...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 Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, 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...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 - Geometry - 1853 - 176 pages
...and difference. 7. If a straight line be divided into five equal parts, the square of the whole line is equal to the square of the straight line which is made up of four of those parts, together with the square of the straight line which is made up of three of those...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...rectangle contained by 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 of the whole and that part. Let the straight line AB be divided into any two parts in the point C ;...
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Solutions of the problems and riders proposed in the Senate-house ...

Cambridge univ, exam. papers - 1854 - 284 pages
...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 - Education - 1854 - 266 pages
...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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