| Francis James Jameson - 1851 - 144 sider
...= 4 (ABa + 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 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... | |
| Harvey Goodwin - 1851 - 196 sider
...homogeneity 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 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... | |
| 582 sider
...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 the rectangle contained by the whole and one of the parts,** shall be equal to the square of the other part. 2. If a straight line be divided into any two parts,... | |
| John Radford Young - 1851 - 266 sider
...is 41, and the sum of whose squares is 901. (7) Divide 20 into two parts, such that the product of **the whole and one of the parts may be equal to the square** of the other part. (8) A person bought a certain number of sheep for £60 ; and having reserved 15,... | |
| University of Durham - 1851 - 222 sider
...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 of the parts** shall be equal to the square of the other part. 6. If two circles cut one another they cannot have... | |
| Euclides - 1852 - 152 sider
...(25). These two Propositions may be omitted at the first reading.] PEOP. XL PROB. 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. Let AB be the given straight line ; it is required... | |
| Bengal council of educ - 1852 - 348 sider
...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 by 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... | |
| Charles Astor Bristed - 1852 - 470 sider
...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 of the parts** shall be equal to the square of the other part. 4. The angle at the centre of a circle is double of... | |
| Euclides - 1853 - 146 sider
...squares of AC, CD. Wherefore, if a straight line, &c. QED PROP. XI. — PROBLEM. 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. Let AB be the given straight line ; it is required... | |
| Royal Military Academy, Woolwich - 1853 - 400 sider
...squares of AC, CD. Wherefore, if a straight line, etc. QED PROPOSITION XI. PROB. 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. Upon AB describe (46. i.) the square ABDC ; bisect... | |
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