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" If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided... "
Examination Papers for Science Schools and Classes - Page 30
by Great Britain. Education Department. Department of Science and Art - 1886
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1856 - 318 pages
...VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and . ^jgfone of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into...
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Middle-class education. 2, Volume 18

Middle-class education - 1857
...geometrically that, if a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole, and that part, together with the square of the other part. 33. Prove the last proposition algebraically...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858
...PROP. VII. THEOR. If a st. line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part CON. 46. I, Pst. 1. 31. I, DEM. 43. I, Ax....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pages
...? Euclid. 1. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. VOLUNTARY PORTION. 1. Define the sine and...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...2. DEM. — 7- II. If a at. line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Ax. 2, 47. I. 16. I. If one side of a triangle...
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Some account of the origin and objects of the new Oxford examinations for ...

sir Thomas Dyke Acland (11th bart.) - 1858
...geometrically that, if a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole, and that part, together with the square of the other part. 33. Prove the last proposition algebraically...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...straight line. 3. If a straight line be divided into any two parts the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Voluntary Portion. 1. Reduce (x+y$x(x+y)\...
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REPORT OF THE DIRECTOR OF PUBLIC INSTRUCTION, BOMBAY, FOR THE YEAR 1858-59.

EDUCATION SOCIETY'S PRESS, CULLA - 1860
...line be divided into any two parts, the sum of the squares on the whole line and one of the parts is equal to twice the rectangle contained by the whole...part, together with the square on the other part. Produce a given straight line, so that the sum of the squares on the given line and the part produced...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line ABbe divided into...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...line and the mean distance. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Given the straight line AB, divided into...
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