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 ## Annual Report of the Commissioners ..., Volume 40

1874 - 682 pages
...methods given for their solution. 5. 1-х -}-' x=~—; find the values of x. 7? 1U Geometry — 1. 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... ## Pure mathematics, Volume 1

Edward Atkins - 1874 - 424 pages
...squares on AC and CD. =^(A.CH Therefore, if a straight line, &c. QED CD2) Proposition 10. — Theorem. If a straight line be bisected and produced to any point, the 'uare on the whole line thus produced, and the square on the irt of it produced, are together double... ## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...the squares on AC, CD. If therefore a straight line be divided, &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... ## the queens university calander

alexander thom - 1875 - 756 pages
...\8H.—Morning. Professor ALLMAN, LL.D. 1. If a straight line be bisected and produced to any point, prove that the rectangle contained by the whole line thus produced,...half the line bisected, is equal to the square on the line which is made up of the half and the part produced. If a straight line be drawn from the vertex... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...LG =sum of AL and CH and LG = sum of DF and CH and i(? = CF =sq. on CB. QED PROPOSITION VI. THEOREM. If a straight line be bisected and produced to any...together with the square on half the line bisected, M equal to the square on the straight line which is made up of the half and the part produced. At Let... ## Edinburgh Medical Journal, Volume 21, Part 1

Medicine - 1876 - 610 pages
...two other straight lines makes the alternate angles equal, those straight lines shall be parallel. 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 line made up of the half and the part produced.... ## Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...angle EDF is equal to the angle Л, and that the figure AEDF is half the triangle ABC. SECTION III. 1. 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 of the line made... ## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...double of the squsyes on AC and CD. Therefore, 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... ## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...and of the square on the line between the points of section. . . . . . . . . . . . . . . --156 lo. 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... 