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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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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1882 - 510 pages
...have won by the same number of seconds. Compare A's speed with B's. (25.) Section B. — Geometry. 27. 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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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...the line. Show that (a+x) (a — x) + x'=a'2 is the algebraical expression of this proposition. 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...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...necessary) of any pair of parallelograms about the other diameter of the said given parallelogram. 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...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...postulates. 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 squares of the whole line thus produced, and of the part of it produced, are together double of the...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...of section, is equal to the square on half the line. Reet. AD, DB and sq. on CD = sq. on CB. II. 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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
...together with twice sq. on GF = twice sq. on AC together with twice sq. on CD. QED IB Cor. 1.47. 1.47. PROPOSITION X. THEOREM. If a straight line be bisected and produced to any point, the square on the irhole line thus produced and the square on the part of it produced are together double of the square...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...the square on CD, is equal to the square on CB. Wherefore, if a straight line &c. QED 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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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 568 pages
...square on AC is equal to the squares on AB'BC and the rectangle contained by the sides CB-BA. QED 2. 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 Practical Teacher, Volume 2

Education - 1883 - 654 pages
...and rect AD'DB, Л twice the rect. AB'BD = sqs. on DB and DC, ie twice the rect. AB'BD = 1 QED В 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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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...line between the points of section, equals the square on half the line. — (Eu. II. 5.) COR. 2. — 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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