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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... "
A Supplement to the Elements of Euclid - Page 198
by Daniel Cresswell - 1819 - 410 pages
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 580 pages
...sum AD and their difference DB. VI. — If a straight line be bisected, and produced to any point . the rectangle contained by the whole line thus produced, and the part produced, together with the square of half the line bisected, is equal to the square of the straight...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...and difference. Proposition 6.— 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 ivith the square on half the line bisected, is equal to the square on the straight line which...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...difference (DB). PROPOSITION 6. — 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 on half the line bisected, is equal to the square on the straight line which...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). 3 hrs. 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 on half the lino bisected, is equal to the square on the straight line which...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...the lines. PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, t7ie rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...the parts shall be equal to a given square. _ When is the problem impossible ? 16. Produce a given line, so that the rectangle contained by the whole line thus produced, and the given Hue, may be equal to a given square. 17. The square on the base of an isosceles triangle is equal...
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the queens university calander

alexander thom - 1875 - 756 pages
...\8H.—Morning. Professor ALLMAN, LL.D. 1. If a straight line be bisected and produced to any point, prove that the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the line which is made...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...Same exercise as that set for candidates. 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 on half the line bisected, is equal to the square on the straight line which...
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Mathematical Problems on the First and Second Divisions of the Schedule of ...

Joseph Wolstenholme - Mathematics - 1878 - 538 pages
...extreme and mean ratio and produced so that the part produced is equal to the smaller of the segments, the rectangle contained by the whole line thus produced, and the part produced together with the square on the given line will be equal to four times the square on the larger...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...rectangle contained by the whole and that part, together with the square on the other part. Produce a given line so that the rectangle contained by the whole line thus produced and the part produced may be equal to the square on half the line. Section II. 1. If in a circle two straight lines...
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