Books Books 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 is made... Elements of geometry, containing the first two (third and fourth) books of ... - Page 83
by Euclides - 1871 ## The Pupil teacher, a monthly educational journal. H. Major, ed

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... ## Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 21

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... ## Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

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... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

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... ## Pupil teachers' examination work, by W.P. Warburton, F. [or rather, J.] P ...

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... ## Mathematical Problems on the First and Second Divisions of the Schedule of ...

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... ## First Public Examination in Literis Graecis Et Latinis

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... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

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... ## Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 23

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... 