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" If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section. "
Solutions of the Cambridge Problems, from 1800 to 1820 - Page 650
by John Martin Frederick Wright - 1836
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - Examinations - 1859 - 356 pages
...the square of the whole line is equal to the squares of the two parts and twice their rectangle. B. " If a straight line be. divided into two equal and also into two unequal parts, the squares of the unequal parts are together double of the square of half the line, and of the square of the line between...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...finds himself 2,2001. in debt. What was the annual income, and what the expenditure of each. Euclid. 1. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...on CB, the square on any line is quadruple of the square on half that line. PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...the squares of the two parts, together with twice the rectangle contained by the parts. PROP. IX. — If a straight line be divided into two equal, and also into two nnequal parts ; the squares of the two unequal parts are together double of the square of half the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...added together in one straight line. Wherefore, if a straight line, &c, QED PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into lmi unequal parts ; the squares on the two unequal parts are together double of the square «» half...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...sides of the one shall be equal to the angle contained by the two sides, equal to them of the other. 2. If a straight line be divided into two equal and...of the two unequal parts are together double of the squares of half the line, and of the line between the points of section. VOLUNTARY PORTION. 1. Inscribe...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pages
...subtending the right angle is equal to the squares described upon the sides which contain the right angle. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square cf the line between the points of...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...No. II. 1. Parallelograms upon the same base and between the same parallels are equal to one another. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square of the line between the points of...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...BC added together In one straight line. Wherefore, if a straight line, &c. QED PROP. IX.— THEOREM. If a straight line be divided into two equal and also into two unequal parts; then the squares of the two unequal parts are together double of the square of half the line, and of...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863 - 482 pages
...diameter, find the greatest length inside his scull which a bullet might traverse without killing him. 11. If a straight line be divided into two equal and also...of the two unequal parts are together double of the squares of half the line and of the square of the line between the points of section. Shew that 3 times...
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