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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... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Page 52
by Euclides - 1853
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...part of it produced, together with the square on half the line bisected, i3 equal to the square on the straight line which is made up of the half and the...line AB be bisected in C, and produced to the point />• Then the rectangle AD, DB, together with the square on CB, shall be equal to the square on CD....
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 pages
...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 and the part produced. 11. To describe a rectilineal figure which shall be similar to one given rectilineal figure and equal...
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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
...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 and the part produced. Iff M Q- JT Let the st. line AB be bisected in tfand produced to D. Then must rect. AD, DB together...
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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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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...CMG is equal to the rectangle AD, DB : add to each LG which is equal to the square of CB ; therefore the rectangle AD, DB, together with the square of CB, is equal to the gnomon CMG, and the figure LG; but the gnomon CMG and LG make up the whole figure CEFD, which is the...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...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 and the...produced. Let the straight line AB be bisected in 0, and produced to the point 1). Then the rectangle AD, DB, together with the square on CB, shall be...
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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, together with the square on CB,...
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