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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... "
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Page 56
by Daniel Cresswell - 1817 - 436 pages
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873
...sum AD and their difference DB. VI. — If a straight line be bisected, and produced to any point . the rectangle contained by the whole line thus produced, and the part produced, together with the square of half the line bisected, is equal to the square of the straight...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...difference (DB). 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 straight line which...
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Pure mathematics, Volume 1

Edward Atkins - 1874
...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 ivith the square on half the line bisected, is equal to the square on the straight line which...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). 3 hrs. 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 lino bisected, is equal to the square on the straight line which...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874 - 234 pages
...the parts shall be equal to a given square. _ When is the problem impossible ? 16. Produce a given line, so that the rectangle contained by the whole line thus produced, and the given Hue, may be equal to a given square. 17. The square on the base of an isosceles triangle is equal...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...the lines. PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, t7ie 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...
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the queens university calander

alexander thom - 1875
...\8H.—Morning. Professor ALLMAN, LL.D. 1. If a straight line be bisected and produced to any point, prove that 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 line which is made...
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Mathematical Problems on the First and Second Divisions of the Schedule of ...

Joseph Wolstenholme - Mathematics - 1878 - 536 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 on the larger...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...rectangle contained by the whole and that part, together with the square on the other part. Produce a given line so that the rectangle contained by the whole line thus produced and the part produced may be equal to the square on half the line. Section II. 1. If in a circle two straight lines...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 36 pages
...and difference of those lines. 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 which...
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