| 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 - 344 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 - 410 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 - 886 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
...— — , 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 - 178 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
...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
...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 - 349 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... | |
| Euclides - 1872
...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... | |
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