| J. Goodall, W. Hammond - 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... | |
| Euclides - 1848
...of the other part. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the square of the other part, is equal to the square of the straight line, which is made... | |
| Harvey Goodwin - 1849 - 528 páginas
...n (,» + mx) = 1 +» Ex. 5. Divide the quantity a into two parts such that the product of the whole **and one of the parts shall be equal to the square of the other part. Let x** = one part ; .•. a - a: = the other; .•. by the question, CLX = (ffl — ai)z mi a* — 2aa> +... | |
| 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.... | |
| Euclides, Thomas Tate - 1849 - 108 páginas
...straight line, &c. QED PROP. VIII. THEOR. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the square of the other part, is equal to the square of the straight line which is made... | |
| 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... | |
| University of Durham - 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... | |
| 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... | |
| Harvey Goodwin - 1851 - 173 páginas
...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 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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