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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, books i. ii. iii. iv - Seite 58
von Euclides - 1862
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...rectangle contained by the whole line and one of the parts, together with the square en the other part, is equal to the square on the straight line which is made up of the whole and that part. Let the straight line AB be divided into any two parts at the point C: lour times...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 Seiten
...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...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 Seiten
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 Seiten
...be bisected, and produced to any point; the rectangle contained by the whole line 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 made up of the half and the part produced. Let...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 196 Seiten
...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 ..., Teil 1

Euclides - 1871 - 136 Seiten
...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 - 1872 - 376 Seiten
...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...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 - 1872 - 302 Seiten
...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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Pure mathematics, Band 1

Edward Atkins - 1874 - 428 Seiten
...the rectangle contained by the whole line thus produced and the part of it produced, together ivith the square on half the line bisected, is equal to...which is made up of the half and the part produced, AD-DB The rectangle AD, DB, together with the square on CB, i CD3. shall be equal to the square on...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 Seiten
...bisected and produced to any point, tha 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 slraiyht line made up of the half and the part produced. Let the straight line AB be bisected in C...
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