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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... "
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Page 56
by Daniel Cresswell - 1817 - 436 pages
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...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...
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A Book of Mathematical Problems on Subjects Included in the Cambridge Course

Joseph Wolstenholme - Mathematics - 1867 - 344 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 ou the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...a 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...of it produced, shall be equal to a given square. 165. Two straight lines stand at right angles to each other, one oi which passes through the center...
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Annual Report

1868 - 886 pages
...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 line which...
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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 line which...
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1869 - 178 pages
...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 is made up...
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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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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871
...equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained by the whole line thus produced and another given straight line may be equal to the square on the produced part. 9. ABC is a triangle right-angled...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained by the whole line thus produced and another given straight line may be equal to the square on the produced part. 9. ABC is a triangle right...
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872
...parallelograms is equal to twice the triangle BKD. II. 11. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall bo equal to the square on the given straight line. in. 22. If the opposite sides of...
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