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To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.
A companion to Euclid: being a help to the understanding and remembering of ... - Página 45
por Euclides - 1837 - 88 páginas
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## Cambridge examination papers: a suppl. to the University calendar, 1856-59

...contained by the whole and each of the parts are together equal to the square of the whole line. 7. To divide a given straight line into two parts, so...and one of the parts shall be equal to the square of the other part. 8. If a straight line drawn through the centre of a circle bisect a straight line in...
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## Cambridge examination papers: a suppl. to the University calendar, 1856-59

...contained by the whole and each of the parts, are together equal to the square of the whole line. 7. Divide a given straight line into two parts, so that...one of the parts, shall be equal to the square of the other part. 8. If two circles cut one another, they shall not have the same centre. 9. If two circles...
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## Guide to the civil service examinations [by H. White]. By H. White

Henry White - 1856
...one side of it are either two right angles, or are together equal to two right angles. 18 Divide a straight line into two parts, so that the rectangle contained by the whole and ono of the parts shall be equal to the square of the other part. 19 If two circles cut each other,...
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## Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 páginas
...parallelograms thus formed shall pass through the same point. 3. Shew by diagram that a (b + c} = ab + ac. To divide a given straight line into two parts so...and one of the parts shall be equal to the square of the other part. Give the full construction. 4. Define a decimal fraction. Prove the rule for pointing...
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## The elements of algebra

Archibald Montgomerie - 1857 - 95 páginas
...of sheep, and the price of each. Ans. 100 at 30s. (25.) Divide a given line a, into two such parts that the rectangle contained by the whole and one of the parts may be equal to the square of the other. , 3+ ^'5 , 3— 4/5 Ans. a — ^— , and a — ~— . (26.)...
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## Skeleton propositions &c. of Euclid, books i and ii, with ..., Volumen2

Euclides - 1858
...ijivru. ihr .«'iíe». o;' the reetnnt/lii e,m be found. BOOK II. 105 PRоP. XI. PRоB. To divide a line into two parts, so that the rectangle contained...and one of the parts shall be equal to the square of the other part. SoL. 46. I, 10. I, 3. I. Pat i. 2. DEM. 6. II, 47. I, Ax. 3. 1, Dei. 8U. 1. E». i...
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## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...exercises for the learner. " — LARDNEB'S Euclid, pp. 79 and 80. PROP. 11. — PROB. To divide a given line into two parts, so that the rectangle contained...and one of the parts shall be equal to the square of the other part. SOL. — 46. I. To describe a square on a given line. 10. I. To bisect a given finite...
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## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 páginas
...contained by the parts. If the line be bisected, what do the rectangles contained by the parts become ? 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. NATURAL SCIENCES. By MAJOR-GEN....
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