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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... "
A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV. - Página 162
por Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
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The Teachers' assistant and pupil teachers' guide, Volumen1

1876
...breadth is £ of its height, contains 54,925 cubic feet ; what is the breadth of the wall f 28.* Divide a given straight line so that the rectangle contained by the whole line and one part may be twice the square on the other part. 20.* If the obtuse angle (Kuc. Prop. xii. Bk....
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...Same exercise as that set for candidates. 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 line bisected, is equal to the square on the straight...
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Edinburgh Medical Journal, Volumen21,Parte1

1876
...those straight lines shall be parallel. 4. 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 half the line bisected, is equal to the square of the line...
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Examination Christmas,1875

Education Department,London - 1876
...the other sides construct the triangle. 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 •»ith the square on half the line bisected, is equal to the square on the...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...that space must not be greater than the square on half the given line. . . . . . . . . . . 240 29. To produce a given straight line, so that the rectangle contained by the external segments of the given line may be equal to a given space. .. 240 31. In right angled triangles,...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 páginas
...and difference. Proposition 6.— 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...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 413 páginas
...elevation 100 yards from the same point. Show that the height of the tower in feet is — =. XL VII. 1. Produce a given straight line so that the rectangle...the whole line thus produced, and the part produced, shall be equal to the square on the given line. 2. If any number of equal straight lines are placed...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...multiple of the square on AB, may be found. 4. 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...
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Mathematical Problems on the First and Second Divisions of the Schedule of ...

Joseph Wolstenholme - 1878 - 480 páginas
...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 on the larger segment....
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Pupil teachers' examination work, by W.P. Warburton, F. [or rather, J.] P ...

William Parsons Warburton - 1878
...thickly covered with timber. EUCLID. — (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 of half the line bisected, is equal to the square on the straight...
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