 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...and difference. M PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus 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 the part produced. Let... | |
 | 1867 - 224 pages
...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,...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 the part produced. Homer,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, the rectangle cjntained by the whole line thus produced, and the part of it produced, together with the tquare on hilf the line bitected, is equal to the square on the straight line which is made up of the... | |
 | 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... | |
 | 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... | |
 | 1868 - 876 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,...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
...— — , 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 is made up of the half... | |
 | Robert Potts - 1868 - 434 pages
...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 each other, one... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 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,...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
...LG = sum of DF and CH and LG = sq. on CB. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus 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 the part produced. Iff... | |
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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 on... 
