 | J. Goodall, W. Hammond - 1848 - 390 pages
...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... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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,... | |
 | University of Cambridge - 1849 - 560 pages
...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.... | |
 | James Elliot - 1850 - 116 pages
...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... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...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.... | |
 | University of Durham - Education, Higher - 1851 - 222 pages
...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... | |
 | Francis James Jameson - Mathematics - 1851 - 144 pages
...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... | |
 | John Bonnycastle - Algebra - 1851 - 288 pages
...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,... | |
 | Euclides - 1852 - 152 pages
...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... | |
 | Education - 1852 - 478 pages
...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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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. 
