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" 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 Principles of Analytical Geometry: Designed for the Use of Students - Page 7
by Henry Parr Hamilton - 1826 - 326 pages
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...right angle. 3. Divide a 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. Section 3. 1. The angles in the same segment of a circle are equal. 2. If from a point without a circle...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...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 interpretation of the result. 4. The...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...line. 7. 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. 8. If a straight line drawn through the centre of a circle bisect a straight line in it, which does...
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Guide to the civil service examinations [by H. White].

Henry White - 1856 - 168 pages
...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, the straight lines joining their centres will bisect their common...
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 390 pages
...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. Prove the rule for pointing in the multiplication...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...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...parts shall be equal to the square of the other part. NATURAL SCIENCES. By MAJOR-GEN. PORTLOCK, RE, LL.D., FRS, IN THE ABSENCE OF W. WARINGTON SMYTH, ESQ.,...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...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. 10. I. To bisect a given finite st. line. 3....
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858 - 136 pages
...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. I, Ax. 3. 1, Dei. 8U. 1. E». i Dat. Quœs. CON....
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

Education - 1859 - 414 pages
...half the line. 10. Divide a 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. JULIUS CAESAR. 1. Write a short account of the author of the play Julius Ceesar. 2. What ancient writer...
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Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - Algebra - 1859 - 368 pages
...gentlemen ? Ans. 12. 21. Divide the number 20 into two such parts, that the product of the whole number and one of the parts shall be equal to the square of the other. Ans. 10/ 5— 10, and 30 — 10.V5. 22. A laborer dug two trenches, one of which was 6 yards longer...
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