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 is... Euclid - Page 126by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
| Robert Potts - 1865 - 528 pages
...their sum AD and their difference DB. PROPOSITION VI. THEOREM. lf 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... | |
| Euclides - 1865 - 402 pages
...and difference. PROP. VL— THEOREM. If a straight line be bisected, and produced to any point ; then 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... | |
| General Medical Council (Great Britain) - 1866 - 496 pages
...1. Add together c\vt. 17 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... | |
| Civil service - 1866 - 270 pages
...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 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... | |
| 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 greater part, 7. AB is the diameter of... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...contained by their sum 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... | |
| 1867 - 224 pages
...have one of its angles 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... | |
| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...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 BD=BC... | |
| Woolwich roy. military acad - 1868 - 426 pages
...be numerically equal ? and 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 and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight... | |
| 1868 - 876 pages
...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 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... | |
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