 | Euclides - 1872 - 102 pages
...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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...sum AD and their difference DB. VI. — If a straight line be bisected, and produced to any point . the rectangle contained by the whole line thus produced, and the part produced, together with the square of half the line bisected, is equal to the square of the straight... | |
 | Euclides - 1874 - 342 pages
...difference (DB). PROPOSITION 6. — Theorem. 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 line which... | |
 | Edward Atkins - 1874 - 428 pages
...and difference. Proposition 6.— Theorem. 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 ivith the square on half the line bisected, is equal to the square on the straight line which... | |
 | Braithwaite Arnett - 1874 - 130 pages
...MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). 3 hrs. 1. 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 lino bisected, is equal to the square on the straight line which... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...the parts shall be equal to a given square. _ When is the problem impossible ? 16. Produce a given line, so that the rectangle contained by the whole line thus produced, and the given Hue, may be equal to a given square. 17. The square on the base of an isosceles triangle is equal... | |
 | Euclides - 1874 - 120 pages
...the lines. PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, t7ie 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 line which... | |
 | alexander thom - 1875 - 758 pages
...\8H.—Morning. Professor ALLMAN, LL.D. 1. If a straight line be bisected and produced to any point, prove that 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 line which is made... | |
 | Joseph Wolstenholme - Mathematics - 1878 - 538 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 on the larger... | |
 | Edward Harri Mathews - 1879 - 94 pages
...rectangle contained by the whole and that part, together with the square on the other part. 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. Section II. 1. If in a circle two straight lines... | |
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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... 
