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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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Elements of geometry, containing the first two (third and fourth ..., Parte1

Euclides - 1871
...equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained by the whole line thus produced and another given straight line may be equal to the square on the produced part. 9. ABC is a triangle right-angled...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 páginas
...equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained by the whole line thus produced and another given straight line may be equal to the square on the produced part. 9. ABC is a triangle right...
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Elements of geometry, containing the first two (third and fourth ..., Parte2

Euclides - 1872
...parallelograms is equal to twice the triangle BKD. II. 11. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall bo equal to the square on the given straight line. in. 22. If the opposite sides of the quadrilateral...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 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 line made...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...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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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...
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Pure mathematics, Volumen1

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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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...
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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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 páginas
...together with the rectangle BE, DF is equal to the parallelogram A C. IL 19. Shew how to produce a given line, so that the rectangle contained by the whole line thus produced, and the produced part, shall he equal to the square (1) on the given line (2) oh the part produced. 20. If...
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