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 Βιβλία Βιβλία AB be the given straight line ; it is required to divide it 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. The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 54
των Robert Simson - 1781 - 466 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...Prove also that the two diameters bisect each other. 3. 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 Solve the same problem algebraically, and give the geometrical... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...equarea of A С and С D together. PROP. XI. PROBLEM. 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 oflhe other part. Let AB be the given straight line. It is required to... ## Cambridge examination papers: a suppl. to the University calendar, 1856-59

...part, together with the square of the other part. 8. 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. 9. If a straight line drawn through the centre of a... ## The elements of algebra

Archibald Montgomerie - 1857 - 95 σελίδες
...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.)... ## Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 σελίδες
...point. 3. Shew by diagram that a (b + c} = ab + ac. 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. Give the full construction. 4. Define a decimal fraction.... ## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...— LARDNEB'S Euclid, pp. 79 and 80. PROP. 11. — PROB. To divide a given 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. SOL. — 46. I. To describe a square on a given line.... ## Skeleton propositions &c. of Euclid, books i and ii, with ..., Τόμος 2

Euclides - 1858
...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 by the whole 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.... ## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 σελίδες
...side together equal to two right angles. VOLUNTARY PORTION. 1. Divide a given 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. 2. Describe a circle that shall pass through two given...  