| 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,...which is made up of the half and the part produced. 25 5. Divide a given straight line into two parts, so that the rectangle contained by the whole and... | |
| Woolwich roy. military acad - 1868 - 426 pages
...what terms will they be if x = 5 ? 10. 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 on half the line bisected, is equal to the square on 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,...square of half the line bisected, is equal to the straight line which is made up of the half and the part produced. 4. The diameter is the greatest straight... | |
| Euclides - 1871 - 136 pages
...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...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... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...QED B. £ L PROPOSITION VI. THEOREM. 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 on half the line bisected, is equal to the square on the straight line which w made up qfthe half and... | |
| Benjamin Hallowell - Geometry - 1872 - 286 pages
...the part produced, with the square of half the line bisected, are together equal to the square of the line which is made up of the half and the part produced.* (Let AB be bisected in C, and produced to D ; D } then will AD x DB + CB2 = CD\ or CB2 x DB. Demonstration.... | |
| Benjamin Hallowell - Geometry - 1872 - 302 pages
...the part produced, with the square of half the line bisected, are together equal to the square of the line which is made up of the half and the part produced.* f Let AB be bisected in C, and produced to D; D -5 then will AD x DB + CB' = CD\ or CB2 (=CD' — AD... | |
| Henry Major - Student teachers - 1873 - 588 pages
...bisected, and produced to any point . the rectangle contained by the whole line thus produced, and the part produced, together with the square of half the line...bisected, is equal to the square of the straight line made up of the half and part produced. z M Let AB be bisected in C, and produced to D ; then the rectangle... | |
| Robert Johnston (F.R.G.S.) - 1873 - 208 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 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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