| 1867 - 336 pages
...the line between the points of section. , Illustrate this by Algebra. 2. Divide a given straight line **into two parts, so that, the rectangle contained by...parts shall be equal to the square of the other part.** Shew how to represent the square root of any number by a geometrical figure. What is meant by magnitudes... | |
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...of algebraical equations, or any demonstration other than Euclid's ? 3. Divide a given straight line **into two parts, so that the rectangle contained by...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.... | |
| Francis James Jameson - Mathematics - 1851 - 144 pages
...AC2) + 4AE2 + 4AF2, = 4BC2 + AB2 + AC2, = 4BC2 + BC2, - 5BC8. 1849. (A). Divide a given straight line **into two parts, so that the rectangle contained by...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... | |
| University of Durham - Education, Higher - 1851 - 222 pages
...twice the rectangle contained by the parts. 5. To divide a given straight line into two parts, such **that the rectangle contained by the whole and one...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... | |
| 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,... | |
| Bengal council of educ - 1852 - 348 pages
...angle. Is this proposition included in any more general one ? (2.) To divide a given straight line **into two parts, so that the rectangle contained by...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... | |
| Charles Astor Bristed - 1852 - 470 pages
...every triangle are equal to two right angles. 3. Divide a given straight line into two such parts, **that the rectangle contained by the whole and one...parts shall be equal to the square of the other part.** 4. The angle at the centre of a circle is double of the angle at the circumference, upon the same base,... | |
| Education - 1852 - 478 pages
...general 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... | |
| Euclides - 1852 - 152 pages
...PROP. X. PEOB. To bisect a (jiven finite straight line, that is, to divide it into two equal parts. Let **AB be the given straight line; it is required to divide it into two** equal parts. Describe " upon it an equilateral triangle ABC, and bisect b the angle ACB by the straight... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 474 pages
...divide a line of 20 inches in length into two parts such that the rectangle contained by the whole line **and one of the parts shall be equal to the square of the other part.** Let x = the greater part ; then 20 — x = the less part, and hence by the question we have x8 = 20... | |
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