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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 - الصفحة 162
بواسطة Euclid - 1904 - عدد الصفحات: 456
عرض كامل - لمحة عن هذا الكتاب

Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866 - عدد الصفحات: 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...

Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - عدد الصفحات: 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...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - عدد الصفحات: 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...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - عدد الصفحات: 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...

A Book of Mathematical Problems on Subjects Included in the Cambridge Course

Joseph Wolstenholme - 1867 - عدد الصفحات: 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,...

Examination papers collected by A. Clark as a student and as an examiner

1867 - عدد الصفحات: 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...

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

Robert Potts - 1868 - عدد الصفحات: 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...

Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - عدد الصفحات: 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...

Annual Report

1868 - عدد الصفحات: 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...

Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - عدد الصفحات: 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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