| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...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... | |
| Joseph Wolstenholme - Mathematics - 1867 - 368 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... | |
| 1868 - 876 pages
...equal to the squares described upon the sides which contain the right angle 20 4. If a straight line be bisected and produced to any point, the rectangle...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
| Woolwich roy. military acad - 1868 - 426 pages
...— as) in the expansion of - — — — , prove Cr=BJ.-B,._1. (1—3?)" 9. If a straight line be bisected and produced to any point ; the rectangle...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 is made up of the half... | |
| Robert Potts - 1868 - 434 pages
...rectangle contained by their sum AD and their difference DB. PROPOSITION VI. THEOREM. Tfaitraight line be bisected, and produced to any point; the rectangle contained by the whole line thus prodlwed, and the part of it produced, together with the square on half the line bisected, i3 equal... | |
| Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...given triangle, and have one of its angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any point ; the rectangle...the part of it produced, together with the square of half the line bisected, is equal to the straight line which is made up of the half and the part... | |
| Euclides - 1871 - 136 pages
...together with LG = sum of AL and CH and LG = sum of DF and CH and LG = sq. on CB. If a straight line be bisected and produced to any point, the rectangle...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...parallelograms is equal to twice the triangle BKD. n. 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 be equal to the square on the given straight line. in. 22. If the opposite sides of... | |
| 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... | |
| Robert Johnston (F.R.G.S.) - 1873 - 208 pages
...given triangle, and have one of ita angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any point ; the rectangle...produced, and the part of it produced, together with the equare of half the line bisected, is eqiml to the straight line which is made up of the half and the... | |
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