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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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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...is a parallelogram. BOOE IL PROP. VI. — 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...
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Guide to the three services: civil, naval, and military

John Paxton Hall - 1860
...is a parallelogram. BOOK II. PROP. VI. — 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...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860
...parallelogram. BOOK II. 7. PEOP. VI. — 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...together with the rectangle BE, DF is equal to the parallelogram A C. n. 19. Shew how to produce a given line, so that the rectangle contained by the whole line thus produced, and the produced part, shall be squal to the square (1) on the given line (2) on the part produced. 20. If...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...segments AG and GB is equal to the square upon the given straight line C. PROPOSITION XXIX. PROBLEM. To produce a given straight line, so that the rectangle contained by the external segments of the given line may be equal to a given space. Let AB be the given straight line,...
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REPORT OF THE DIRECTOR OF PUBLIC INSTRUCTION, BOMBAY, FOR THE YEAR 1858-59.

EDUCATION SOCIETY'S PRESS, CULLA - 1860
...line, so that the sum of the squares on the given line and the part produced may be equal to twice the rectangle contained by the whole line thus produced, and the part produced. 8 If a point be taken within a circle from which there fall more than two equal straight...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...REV. WN GRIFFIN, MA Voluntary Portion. 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 square on half the line bisected, is equal to the square on the straight line...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pages
...straight lines cannot have a common segment. 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 square of half the line bisected, is equal to the square of the line which is made...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...difference. PROP. VI.— THEOREM. If a straight line be bisected, and produced to any point ; then 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...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...straight line into two parts, so that the rectangle contained by them may be equal to a given square. 3. Produce a given straight line, so that the rectangle contained by the whole line so produced, and the part produced, may be equal to a given square. 4. Prove that the difference of...
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