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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 of half the line bisected, is equal to the square of the straight line, which is... "
Recent Military, Naval, and Civil Service Examination Papers in Mathematics ... - Página 44
por Braithwaite Arnett - 1874 - 116 páginas
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Elements of geometry, containing the first two (third and fourth ..., Parte1

Euclides - 1871 - 136 páginas
...with sq. on CD = AH together with LG = sum of AL and CH and LG = sum of DF and CH and LG = sq. on CB. 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...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 páginas
...the Qs on AD and DB is equal to twice the Q on AC together with twice the Q on C D. PBOPOSITION X. If a straight line be bisected and produced to any point, the square on the whole line thus formed together with the square on the produced part, is equal to twice the square on half the line...
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Geometrical Analysis: Or the Construction and Solution of Various ...

Benjamin Hallowell - 1872 - 286 páginas
...side to which it is parallel in the triangle ABC, and each rhombus is half of ABC. THEOREM II. — If a straight line be bisected and produced to any point, the rectangle of the whole line thus produced and the part produced, with the square of half the line bisected,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 páginas
...sutn of AL and CH and LG = sum of DF and CH and LG sq. on CB. QED B. £ L PROPOSITION VI. 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...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 páginas
...lines AC, CD, is equal to the rectangle contained by their 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...
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Annual Report of the Commissioners ..., Volumen40

1874 - 682 páginas
...methods given for their solution. 5. 1-х -}-' x=~—; find the values of x. 7? 1U Geometry — 1. If a straight line be bisected, and produced to any...double of the square on half the line bisected, and of the square on the line made up of the half and the part produced. 2. To a given straight line apply...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 páginas
...squares on AC, CD. Therefore, if a straight line, &c. QED PROPOSITION 10. THEOREM. If a straight line 6« bisected, and produced to any point, the square on...double of the square on half the .line bisected and of the square on the line made up of the half and the part produced. j Let the straight line AB be...
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Pure mathematics, Volumen1

Edward Atkins - 1874 - 428 páginas
...squares on AC and CD. ="<ACH Therefore, if a straight line, &c. QED CDa) Proposition 10. — Theorem. If a straight line be bisected and produced to any...produced, and the square on the part of it produced, are toyclhcr double of the square on half the line bisected, and of the square mi t/ie line made up of...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 páginas
...square on AC, and twice the square on CD. QED PIIOP. X.— THEOREM. (Euc. II. 10). JJ a straight lino be bisected and produced to any point, the square...whole line thus produced, and the square on the part produced, are equal to twice the square on half the line bisected, togetJier with twice the square...
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Pure mathematics, Volumen1

Edward Atkins - 1874 - 426 páginas
...squares on AC and CD. =^(A.CH Therefore, if a straight line, &c. QED CD2) Proposition 10. — Theorem. If a straight line be bisected and produced to any point, the 'uare on the whole line thus produced, and the square on the irt of it produced, are together double...
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