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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... "
Euclid, books i. & ii., with notes, examples, and explanations, by a late ... - Page 109
by Euclides - 1879
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...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 - Geometry - 1872 - 216 pages
...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...with LG = 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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Geometrical Analysis: Or the Construction and Solution of Various ...

Benjamin Hallowell - Geometry - 1872 - 286 pages
...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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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...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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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...of the 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...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.) - Geometry - 1874 - 236 pages
...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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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...is equal to the rectangle contained by their sum (AD) and their 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...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...it. 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. 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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...Having given the sum and difference of two lines it is required to determine 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...
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