 | Robert Potts - 1865 - 528 pages
...with the rectangle BE, DF is equal to the parallelogram A C. n. 21. Shew how to produce a given line, so that the rectangle contained by the whole line thus produced, and the produced part, shall be equal to the square, (1) on the given bine, (2) on the part produced. 22. If... | |
 | Civil service - 1866 - 270 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 square of the straight line which... | |
 | General Medical Council (Great Britain) - 1866 - 496 pages
...it; 8 19 qrs. 8 2 3 1 11.9 21 20 6 8 3. If _ straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced .and the part of it produeed, together with the square of half the line bisected, is equal to the square of the straight... | |
 | 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, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which... | |
 | 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, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which... | |
 | 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... | |
 | 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... | |
 | 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
...the 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...the part 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... | |
 | 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... | |
| |
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... 
