| Harvey Goodwin - 1851 - 173 páginas
...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 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... | |
| ...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 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... | |
| FRANCIS J. JAMESON - 1851
.../. 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 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... | |
| Bengal council of educ - 1852
...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 by** the whole and one of the parts, shall be equal to the square of the other part. Can this be solved... | |
| Euclides - 1852
...part produced (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... | |
| 1852
...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... | |
| Euclides - 1853
...are double of the 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... | |
| Royal Military Academy, Woolwich - 1853
...are double of the 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.... | |
| Cambridge univ, exam. papers - 1854
...BD the other diameter, the difference of the parallelograms is equal to twice the triangle BKD. 2. **Divide a given straight line into two parts so that the rectangle contained by** the whole line and one of the parts shall be equal to the square of the other part. Produce a given... | |
| William Walton, Charles Frederick Mackenzie - 1854 - 225 páginas
...BD the other diameter, the difference of the parallelograms is equal to twice the triangle BSD. 2. **Divide a given straight line into two parts so that the rectangle contained by** the whole line and one of the parts shall be equal to the square of the other part. Produce a given... | |
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