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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 Text-book of Euclid's Elements for the Use of Schools, Books I.-IV. - Página 162
por Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 283 páginas
...of 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 BD=BC...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...twice the rectangle contained by the whole straight line thus produced and the part produced. 498. Produce a given straight line so that the rectangle contained by the whole straight line thus produced and the part produced may be equal to the square on the given straight...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...twice the rectangle contained by the whole straight line thus produced and the part produced. 498. Produce a given straight line so that the rectangle contained by the whole straight line thus produced and the part produced may be equal to the square on the given straight...
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A Book of Mathematical Problems on Subjects Included in the Cambridge Course

Joseph Wolstenholme - 1867 - 344 páginas
...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 greater part,...
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Examination papers collected by A. Clark as a student and as an examiner

1867
...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 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 páginas
...point F in the line AP such that the rectangle PF. PC may be equal to the rectangle PD . PA. 164. To produce a given straight line, so that the rectangle...contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 165. Two straight lines stand at right angles to...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868
...— — , prove Cr=BJ.-B,._1. (1—3?)" 9. 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...
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Annual Report

1868
...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 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...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 178 páginas
...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 thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the straight line which...
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. Produce a given straight line, so that the rectangle...contained by the whole line thus produced, and the given line, may be equal to the square on the part produced. 3. If a straight line touch a circle,...
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