 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...twice the rectangle contained by the whole straight line thus produced and the part produced. 498. Produce a given straight line so that the rectangle contained by the whole straight line thus produced and the part produced may be equal to the square on the given straight... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...of 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... | |
 | Robert Potts - 1868 - 434 pages
...a point F in the line AP such that the rectangle PF. PC may be equal to the rectangle PD . PA. 164. To produce a given straight line, so that the rectangle...of it produced, shall be equal to a given square. 165. Two straight lines stand at right angles to each other, one oi which passes through the center... | |
 | 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, 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... | |
 | 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... | |
 | 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, and the part of it produced, together with the square of half the line bisected, is equal to the straight line which is made up... | |
 | Cambridge univ, exam. papers - 1870 - 272 pages
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. Produce a given straight line, so that the rectangle...contained by the whole line thus produced, and the given line, may be equal to the square on the part produced. 3. If a straight line touch a circle,... | |
 | Euclides - 1871 - 136 pages
...equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained by the whole line thus produced and another given straight line may be equal to the square on the produced part. 9. ABC is a triangle right-angled... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained by the whole line thus produced and another given straight line may be equal to the square on the produced part. 9. ABC is a triangle right... | |
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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... 
