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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... "
Euclid's Elements of Geometry - Page 144
edited by - 1893 - 504 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...thus prodlwed, and the part of it produced, together with the square on half the line bisected, i3 equal to the square on the straight line which is...part produced. Let the straight line AB be bisected in C, and produced to the point />• Then the rectangle AD, DB, together with the square on CB, shall...
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Annual Report

1868 - 876 pages
...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 up of the half and the part produced. 25 5. Divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...produced, and the part of it produced, together with the square of half the line bisected, is equal to the straight line which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and the first part. Let the at. line AB be divided into any two parts in C. Produce AB to D,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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 w made up qfthe half and the part produced. Let the st. line AB be bisected in C*and produced to D....
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Geometrical Analysis: Or the Construction and Solution of Various ...

Benjamin Hallowell - Geometry - 1872 - 286 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.* (Let AB be bisected in C, and produced to D ; D } then will AD x DB + CB2 = CD\ or CB2 x DB. Demonstration....
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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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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...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...which is made up of the half and the part produced. 4. If a straight line drawn through the centre of a circle bisect a straight line in it which does...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...rectangle contained- by the whole line and one of the parts together with the square on the other part, is equal to the square on the straight line which is made up of the whole and that part. 1. Let the straight line AB be divided into any two parts at the point C : four...
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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 of...
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