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Llibres Llibres 31 - 40 de 100 sobre AB be the given straight line ; it is required to divide it into two parts, so that....
" 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 ... - Pągina 11
per Henry Parr Hamilton - 1826 - 326 pągines
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall - 1848
...Section 4. 1. 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. 2. Describe a square that shall be double a given triangle. 3. Prove that the diagonals of a parallelogram...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...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. Upon AB describe (i. 46.) the square ABDC; bisect (i. 10.) AC in E, and join BE ; produce CA to F,...
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Register

University of Cambridge - 1849
...Euclid's ? 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. Shew that in Euclid's figure four other lines, beside the given line, are divided in the required manner....
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An elementary course of practical mathematics, Part 2

James Elliot - 1850
...the half of its square by § ? 3. Divide 100 into two such parts, that the product of the whole by one of the parts shall be equal to the square of the other part. 4. A horse-dealer bought a number of young horses at a fair, all at the same price, for the sum of...
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A collection of problems and examples, adapted to the "Elementary course of ...

Harvey Goodwin - 1851 - 173 pągines
...Euclid's ? 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. Shew that in Euclid's figure four other lines, beside the given line, are divided in the required manner....
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durham university calendar, 1851

77 - 1851
...parts. 5. To divide a given straight line into two parts, such that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 6. If two circles cut one another they cannot have the same centre. 7. Equal straight lines in a circle...
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THE PRINCIPLES OF THE SOLUTION OF SENATE-HOUSE 'RIDERS'

FRANCIS J. JAMESON - 1851
...1849. (A). 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. (ii. 11.) (B). Shew that in Euclid's figure, four other lines, beside the given line, are divided in...
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BONNYCASTLE'S INTRODUCTION TO ALGEBRA; CONTAINING THE INDETERMINATE AND ...

JAMES RYAN - 1851
...to divide a line y of 20 inches in length, into two such parts that the rectangle of the whole arid one of the parts shall be equal to the square of the other. Ans. 10^/5 — 10, and 30— 10 ^5. 5. It is required to divide the number 60 into two such parts,...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...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. Upon AB describe* the square ABDC; • x hi. i. bisect* AC in E, " x . i. and join BE; produce CA to...
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The works of William Cowper, with a life of the author, by the editor R. Southey

William Cowper - 1852
...one ? 2. To divide a given straight line into two parts, so that the rectangle contained hy the whole and one of the parts, shall be equal to the square of the other part. Can this be solved arithmetically ? if so, find approximately into how many parts the given line must...
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