 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...rectangle contained by the whole line and one of the parts, together with the square en the other part, is equal to the square on the straight line which is made up of the whole and that part. Let the straight line AB be divided into any two parts at the point C: lour times... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...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... | |
 | Gerardus Beekman Docharty - 1867 - 474 σελίδες
...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 - 1867 - 368 σελίδες
...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 σελίδες
...is 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 σελίδες
...of of ( 1 — 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 σελίδες
...the 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.) - 1869 - 196 σελίδες
...to a 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...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 σελίδες
...rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and the first part. Let the at. line AB be divided into any two parts in C. Produce AB to D,... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...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... | |
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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... 
