| Henry Major - Student teachers - 1873
...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
...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
...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... | |
| Euclides - 1874 - 234 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
...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
...\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 - 536 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
...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... | |
| W J. Dickinson - Geometry - 1879 - 36 pages
...and difference of those lines. Prove it. 6. 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... | |
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