| Henry Major - 1876 - 784 pages
...with the square on the line between the points of section, is equal to the square on half the line. 3. **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... | |
| 1877 - 684 pages
...that the figure GHCB is equal to the rectangle BA, AH, together with htlf the squares on BA, AH. 4. **If a straight line be bisected and produced to any...bisected, is equal to the square on the straight line** made up of the half and the part produced. 21. oo May 1876. Prove that any rectangle is half the rectangle... | |
| Samuel H. Winter - 1877 - 452 pages
...to construct a straight line, the square on which shall be any given multiple of a given square. 4. **If a straight line be bisected and produced to any...contained by the whole line thus produced, and the part** produced, together with the square on half the line bisected, is equal to the square on the straight... | |
| Euclides, James Hamblin Smith - Geometry - 1878 - 398 pages
...with LG =sum of AL and CH and LG = sum of DF and CH and LG sq. on CB. QED PROPOSITION VI. THEOREM. **If a straight line be bisected and produced to any...bisected, is equal to the square on the straight line** whidi is made up of ths half and the part produced. L <? Jf Let the st. line AB be bisected in 0 and... | |
| William Parsons Warburton - 1878 - 102 pages
...(Waltham), Epping, and of Sherwood itself, are still thickly covered with timber. EUCLID. — (1.) **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 on the straight line which is made up of the half... | |
| Joseph Wolstenholme - Mathematics - 1878 - 538 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 on the larger... | |
| University of Oxford - Greek language - 1879 - 412 pages
...line perpendicular to a given straight line of unlimited length, from a given point without it. 9. **If a straight line be bisected and produced to any...contained by the whole line thus produced, and the part** produced, together with the square on half the line bisected, is equal to the square on the straight... | |
| Euclides, James Hamblin Smith - 1879 - 376 pages
...contained by the whole line and one of the parts, together with the square on the other part, is eqtial **to the square on the straight line which is made up of the** whole and the first part. -A' & 'B -P JB JC JsjP Let the st. line AB be divided into any two parts... | |
| Great Britain. Civil Service Commission - 1879 - 622 pages
...square equal to the sum of the other two, and that the triangles PAD, DCN, are equal in all respects. o. **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... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...Divide a straight line into two parts so that the sum of their squares may be the least possible. 10. **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... | |
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