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" 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... "
The first six books of the Elements of Euclid, with numerous exercises - Page 36
by Euclides - 1853 - 147 pages
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Geometrical Analysis: Or the Construction and Solution of Various ...

Benjamin Hallowell - Geometry - 1872 - 302 pages
...the part produced, with the square of half the line bisected, are together equal to the square of the line which is made up of the half and the part produced.* f Let AB be bisected in C, and produced to D; D -5 then will AD x DB + CB' = CD\ or CB2 (=CD' — AD...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 580 pages
...bisected, and produced to any point . the rectangle contained by the whole line thus produced, and the part produced, together with the square of half the line...bisected, is equal to the square of the straight line made up of the half and part produced. z M Let AB be bisected in C, and produced to D ; then the rectangle...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1873 - 208 pages
...3. 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 equare of half the line bisected, is eqiml to the straight line which is made up of the half and the...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...produced, together with the square on half the line bisected, is equal to the square on the slraiyht line made up of the half and the part produced. Let the straight line AB be bisected in C and produced to D, the rectangle contained by |L the whole line AD, and the part DB,...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...produced, are toyclhcr double of the square on half the line bisected, and of the square mi t/ie line made up of the half and the part produced. Let the straight line AB be bisecteu in C, and produced to D ; AP5+1?,I'3 The squares on AD and DB shall be together double...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...1. 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 lino bisected, is equal to the square on the straight line which is made up of the half...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...Theorem. 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 which is made up of the half...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...Theorem. 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 which is made up of the half...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...THEOREM. If a straight line be bisected, and produced to any point, t7ie 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 which is made up of the half...
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the queens university calander

alexander thom - 1875 - 756 pages
...straight line be bisected and produced to any point, prove that 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 line which is made up of the half and the...
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