| 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...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... | |
| 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...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 to divide it into two parts,... | |
| Charles Astor Bristed - 1852
...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 the angle at the circumference,... | |
| William Cowper - 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...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 to divide it into two parts,... | |
| Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 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...and one of the parts, shall be equal to the square** of the other part. Upon AB describe (46. i.) the square ABDC ; bisect (10. i.) AC in E, and join BE... | |
| Euclides - 1853 - 147 Seiten
...С d. Wherefore, if a straight line, &c. QED PROPOSITION XI. — PROBLEM. To divide a given straigM **line into two parts, so that the rectangle contained...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 to divide it into two parts,... | |
| 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 straight... | |
| William Walton, Bishop Charles Frederick Mackenzie - 1854 - 225 Seiten
...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 straight... | |
| William Somerville Orr - 1854
...the remarks at the end of this book. PROPOSITION XI.— PROBLEM. To divide a given straight line (AB) **into two parts, so that the rectangle contained by the whole, and** от of the parts, shall be equal to the square of the other part. From A draw AC perpendicular and... | |
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