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Books Books 71 - 80 of 189 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
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Robert Potts - 1864
...rectangle PF. PC may be equal to the rectangle PD. PA. 164. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 165. Two straight lines stand at right angles to each other, one...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...rectangle PF.PCmay be equal to the rectangle PD.PA. 164. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 165. Two straight lines stand at right angles to each other, one...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Alexander Kennedy Isbister - 1865
...double of the square on half the line, and of the square on the intermediate part ......... 1.9. 4. 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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair, Euclid - Geometry - 1855 - 317 pages
...is equivalent *o tht difference of their squaret / E 7, Jl E & I PROP. VI THEOR. If a straight tine be bisected, and produced to any point ; the rectangle...produced, and the part of it produced, together with th» square of half the line bisected, is equal to the square of the straight line which is made up...
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minutes of the general coucil

w.j.golbourn - 1866
...parallelogram are equal to one another. 1. Add together c\vt. 17 it; 8 19 qrs. 8 2 3 1 11.9 21 20 6 8 3. If _ straight line be bisected, and produced to any point,...by the whole line thus produced .and the part of it produeed, together with the square of half the line bisected, is equal to the square of the straight...
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Examination papers collected by A. Clark as a student and as an examiner

1867
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 10. 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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...lines AC, CD, is equal to the rectangle contained by their sum and difference. PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, the rectangle cjntained by the whole line thus produced, and the part of it produced, together with the tquare on...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 283 pages
...another problem of the same nature, in which it is required to p^gduce a straight line AB, such that the rectangle contained by the whole line thus produced and the part produced shall be equivalent to the square of the line AB itself. Bisect AB in C ; draw the perpendicular...
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A Book of Mathematical Problems on Subjects Included in the Cambridge Course

Joseph Wolstenholme - Mathematics - 1867 - 344 pages
...extreme and mean ratio and produced so that the part produced is equal to the smaller of the segments, the rectangle contained by the whole line thus produced and the part produced together with the square on the given line, will be equal to four times the square ou the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...are double of the squares on AC, CD. Wherefore, if a straight line &c, QED PROPOSITION 10. THEOREM. 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...
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