| Euclides - 1864 - 448 pages
...rectangle PF.PCmay 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... | |
| Euclides - 1864 - 262 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... | |
| 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,...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 - 1865 - 528 pages
...the half line, and the line made up of the half and part produced. 10. Produce a given line so that the rectangle contained by the whole line thus produced, and the part produced may be equal to the square on half the line. 11. If AM, MG, GA be joined, fig. Euc. n. 5,... | |
| Civil service - 1866 - 270 pages
...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 point ; the rectangle...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... | |
| John Playfair - Geometry - 1855 - 350 pages
...equivalent *o tht difference of their squaret / E 7, Jl E & I PROP. VI THEOR. If a straight tine be bisected, and produced to any point ; the rectangle...produced, and the part of it produced, together with th» square of half the line bisected, is equal to the square of the straight line which is made up... | |
| General Medical Council (Great Britain) - 1866 - 496 pages
...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, the rectangle...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
...triangle, and 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...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 and... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the rectangle contained by their sum and difference. M PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, the rectangle...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 and... | |
| 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 is made up of the... | |
| |