| General Medical Council (Great Britain) - 1866 - 496 pages
...parallelogram are equal to one another. 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,...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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...lines AC, CD, is equal to the rectangle contained by their sum and difference. 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... | |
| Joseph Wolstenholme - Mathematics - 1867 - 370 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...are double of the squares on AC, CD. Wherefore, if a straight line &c, QED PROPOSITION 10. THEOREM. **If a straight, line be bisected, and produced to any point, the** square on the whole line thus produced, and the square on the part of it produced, are together double... | |
| 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... | |
| 1868 - 886 pages
...the right angle is equal to the squares described upon the sides which contain the right angle 20 4. **If a straight line be bisected and produced to any...the part of it produced, together with the square** of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
| Robert Potts - 1868 - 434 pages
...the rectangle contained by their sum AD and their difference DB. PROPOSITION VI. THEOREM. Tfaitraight **line be bisected, and produced to any point; the rectangle contained by the whole line thus** prodlwed, and the part of it produced, together with the square on half the line bisected, i3 equal... | |
| Woolwich roy. military acad - 1868 - 426 pages
...the magnitudes of the angles of the different triangles referred to, complete the demonstration : " **If a straight line be bisected and produced to any point, the** squares of the whole line thus produced and the part of it produced are together double of the square... | |
| Edinburgh univ - 1868 - 336 pages
...angles of a triangle can in no case exceed two right angles. 4. Give two proofs of Eucl. I. 47. 5. **If a straight line be bisected, and produced to any point, the** square of the whole line thus produced, and the square of the part of it produced, are together double... | |
| Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. **If a straight line be bisected, and produced to any...the part of it produced, together with the square** of half the line bisected, is equal to the straight line which is made up of the half and the part... | |
| |