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 Books Books 141 - 150 of 190 on Prove it. 6.If a straight line be bisected and produced to any point, the rectangle.... Prove it. 6.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 on half the line bisected, is equal to the square on the straight line... Government examinations, a companion to 'Under government' and a key to the ... - Page 88
by Joseph Charles Parkinson - 1860
Full view - About this book ## THE ELEMENTS OF GEOMETRY.

GEORGE BRUCE HALSTED - 1885
...BC put b, then the above equation, a(a + b + b) + b2 = (a + #)2, gives us the theorem : /X" # sect be bisected, and produced to any point ', the rectangle...the part of it produced, together with the square on half the sect bisected, is equivalent to the square on the line which is made up of the half and...
Full view - About this book ## University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...5. Equal triangles on the same base, and on the same side of it, are between the same parallels. 6. 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...
Full view - About this book ## The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 366 pages
...BC put b, then the above equation, a(a -\-b-{-b)-\-b* = (a-\- by, gives us the theorem : If a sect be bisected, and produced to any point, the rectangle...the part of it produced, together with the square on half the sect bisected, is equivalent to the square on the line which is made up of the half and...
Full view - About this book ## Examination Papers for Science Schools and Classes

...the cask at first. (25.) B. 27. If a straight line is bisected and produced to any point, show that the rectangle contained by the whole line thus produced, and the part produced, together with the square on half the line, is equal to the square on the line made up of...
Full view - About this book ## Calendar of Dalhousie College and University

Dalhousie University - 1888
...together with the square of the aforesaid part. 4. Prove, either by a diagram or in any other way, that 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...
Full view - About this book ## Calendar of Dalhousie College and University

Dalhousie University - 1889
...the ratio of i.-V/sT 4. If a straight line be bisected and produced to any point, the rectangle of the whole line thus produced and the part of it produced...half the line bisected is equal to the square of the line which is made up of the half and the part produced : also deduce the geometrical proof of the...
Full view - About this book ## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889
...two of its sides equal to two given straight lines each to each. 4. If a straight line is b-sected and produced to any point, the rectangle 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 line which...
Full view - About this book ## Report of the Secretary for Public Instruction ...

...that AF is greater than the diagonal of the square. For Admission as Teacher of the Third Class. 2. If a straight line be bisected and produced to any...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...
Full view - About this book ## Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 400 pages
...ie rect. under AY, YB + sq. on XY = sq. on BX. 91 Proposition 6. THEOREM — If a straiglit line is bisected and produced to any point, the rectangle...the part of it produced, together with the square on the half of the bisected line, is equal to the square on the straight line made up of the half and...
Full view - About this book ## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...AC, CD+sqs. on CB, CD, [II. 7. = twice sq. on AC + twice sq. on CD (vAC=CB). PROPOSITION 10. THEOREM. If a straight line be bisected and produced to any point, the squares on the whole line thus produced and the part produced are together double of the square on...
Full view - About this book