| Scotland free church, gen. assembly - 1847
...on the other two sides, these sides contain a right angle. 3. Divide a given line into two parts, so **that the rectangle contained by the whole line and one of the parts** may be equal to the square of the other part. 4. The angle in a semicircle is a right angle. 5. Of... | |
| 1844
...line. 7. 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 in a circle two straight lines cut one another, which do not both pass through the centre, they... | |
| Great Britain. Council on Education - 1845
...part. 62. 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.** 63. Show that if — B he substracted from A, the result is A + B. 64. Perform the operations indicated... | |
| George Peacock - 1845
...and solved. " To divide a given line into two such parts that the rectangle contained by the whole **and one of the parts shall be equal to the square of the other."** If we call x the greater of the two parts, and, therefore, a - x the other, the equation will become... | |
| Euclid - 1845 - 199 páginas
...line, &c. QED PROPOSITION 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... | |
| Euclides - 1845
...the problem may be possible. 7. Divide a given straight line into two parts, such that the squares of **the whole line and one of the parts shall be equal to** twice the square of the other part. 8. Divide a given line, so that the square of the greater part... | |
| Harvey Goodwin - 1846 - 468 páginas
...ma ' na n (a> + mx) = 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** a? = one part ; .-. a- n' = the other; .-. by the question, ax = (a — at): = o2 - Zax + a?2, x- -... | |
| Euclides - 1846
...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 ACDB ; bisect AC in E, and join BE ; produce CA to F, and make EF equal... | |
| Euclid, John Playfair - 1846 - 317 páginas
...equality, by transposition. 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... | |
| 1847
...light angle. SECTION Il. — 1. To divide a straight line, so that the rectangle contained by the whole **and one of the parts shall be equal to the square of the other part.** 2. In every triangle the square of the side subtending either of the acute angles is less than the... | |
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