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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 - Strona 162
autor: Euclid - 1904 - Liczba stron: 456
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866 - Liczba stron: 270
...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 square of the straight...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - Liczba stron: 474
...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 - Liczba stron: 424
...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 - Liczba stron: 426
...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 - Liczba stron: 368
...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 - Liczba stron: 224
...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 - Liczba stron: 434
...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 - Liczba stron: 426
...— — , 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 - Liczba stron: 876
...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 - Liczba stron: 196
...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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