| Her MAjesty' Inspectors of schools - 1850 - 912 pages
...figures, and duplicate ratio. 3. Solve Euc. II. 11. To divide a given finite straight line into two part*, **so that the rectangle contained by the whole and one of the parts** may be equal to the square of the other jjart. '2. Prove Kuc. 1. 36. Parallelograms upon equal bases,... | |
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...upon the necessary homogeneity of algebraical equations, or any demonstration other than Euclid's ? 3. **Divide a given straight line into two parts, so that...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.... | |
| 582 pages
...every respect." Enumerate tlie cases proved in Book 1 and state what ease is omitted. SECTION IT. 1. **Divide a given straight line into two parts, so that...parts, shall be equal to the square of the other part.** 2. If a straight line be divided into any two parts, the square of the whole line is equal to the squares... | |
| Francis James Jameson - Mathematics - 1851 - 144 pages
.../. 4 (BE2 + CF2) = 4 (ABa + AC2) + 4AE2 + 4AF2, = 4BC2 + AB2 + AC2, = 4BC2 + BC2, - 5BC8. 1849. (A). **Divide a given straight line into two parts, so that...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
...two sides which contain the right angle. Is this proposition included in any more general one ? (2.) **To divide a given straight line into two parts, so...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
...equal to the square of the other part. Let AB be the given straight line ; it is required to divide it **into two parts, so that the rectangle contained by...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... | |
| 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
...two sides which contain the right 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** hy the whole and one of the parts, shall be equal to the square of the other part. Can this be solved... | |
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