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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 - Seite 62
von Great Britain. Admiralty - 1846
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 Seiten
...the half line, and the line made up of the half and part produced. 10. 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. 11. If AM, MG, GA be joined, fig. Euc. n. 5,...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866 - 270 Seiten
...of its angles equal to a given rectilineal angle. 3. 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. 4. The diameter is the greatest straight line in a circle ; and, of all others,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 350 Seiten
...difference of their squaret / E 7, Jl E & I PROP. VI THEOR. If a straight tine be bisected, and produced to any point ; the rectangle contained by the whole line...produced, and the part of it produced, together with th» square of half the line bisected, is equal to the square of the straight line which is made up...
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Minutes of the General Council of Medical Education & Registration ..., Band 4

General Medical Council (Great Britain) - 1866 - 496 Seiten
...together c\vt. 17 it; 8 19 qrs. 8 2 3 1 11.9 21 20 6 8 3. If _ straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced .and the part of it produeed, together with the square of half the line bisected, is equal to the square of the straight...
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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 Seiten
...its angles equal to a given rectilineal angle. 10. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...their sum and difference. M PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 Seiten
...PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, the rectangle cjntained by the whole line thus produced, and the part of it produced, together with the tquare on hilf the line bitected, is equal to the square on the straight line which is made up of the...
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A Book of Mathematical Problems on Subjects Included in the Cambridge Course

Joseph Wolstenholme - 1867 - 368 Seiten
...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 ou the...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 474 Seiten
...another problem of the same nature, in which it is required to p^gduce a straight line AB, such that the rectangle contained by the whole line thus produced and the part produced shall be equivalent to the square of the line AB itself. Bisect AB in C ; draw the perpendicular...
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Annual Report

1868 - 876 Seiten
...described upon the sides which contain the right angle 20 4. 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. 25 5. Divide a given straight line into two parts, so that the rectangle contained...
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