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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, may be equal to the square of the other part. "
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 42
των Euclides - 1853 - 147 σελίδες
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...into two equal parts. Prove also that the two diameters bisect each other. 3. Divide a given straight line into two parts, so that the rectangle contained...parts, shall be equal to the square of the other part Solve the same problem algebraically, and give the geometrical interpretation of the result. 4. The...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...other two sides of it, the angle contained by those two sides is a right angle. 3. Divide a straight line into two parts, so that the rectangle contained...parts shall be equal to the square of the other part. Section 3. 1. The angles in the same segment of a circle are equal. 2. If from a point without a circle...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...equal to the square oflhe other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole and one of tLe parts, shall be equal to the square of the other part. Upon AB describe (I. 46) the square СB....

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...by the whole and that part, together with the square of the other part. 8. Divide a given straight line into two parts, so that the rectangle contained...parts, shall be equal to the square of the other part. 9. If a straight line drawn through the centre of a circle bisect a straight line in it which does...

Guide to the civil service examinations [by H. White]. By H. White

Henry White - 1856
...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,...

Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 σελίδες
...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 that the rectangle contained...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 in the multiplication...

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.)...

Skeleton propositions &c. of Euclid, books i and ii, with ..., Τόμος 2

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...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 Dat. Quœs. CON....

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...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 st. line. 3....

Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 σελίδες
...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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