 | Euclid, James Thomson - 1837 - 410 sider
...9.) HB2 + BD*, or AD2 + BD2= 5-a ' — 2CD2+2AC2.* PROP. XI. PROB. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, may be equal to the square of the other part. Let AB be the given straight line ; it is required to... | |
 | Euclides - 1838 - 264 sider
...squares of AC, CD. Wherefore, if a straight line, &c. QED PROP. XI. PROS. To divide a given straight line into two parts, so that the rectangle contained by...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, so... | |
 | Euclides - 1841 - 378 sider
...of AC, CD. Wherefore, if a straight line, &c. QED PROP. XI. PROB. 1 To divide a given straight line into two parts, so that the rectangle contained by...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, so... | |
 | Euclides - 1842 - 316 sider
...equivalent 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 the whole, and one of the parts, shall be equivalent to the square of the other part. Upon AB describe (46. 1.) the square ABDC ; bisect (10.... | |
 | John Playfair - 1842 - 332 sider
...proposition is evident from this algebraical equality. PROP. XI. PROB. To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. Let AB be the given straight line ; it is required to... | |
 | 1844 - 688 sider
...each of the parts are together equal to the square of the whole line. 7. Divide a given straight line into two parts, so that the rectangle contained by...and one of the parts shall be equal to the square of the other part. 8. If in a circle two straight lines cut one another, which do not both pass through... | |
 | John Playfair - 1844 - 338 sider
...straight line ; it is required to divide it into two parts, so that the rectangle contained by Ji ^j. the whole, and one of the parts, shall be equal to the square of the other part. Upon AB describe (46. 1.) the square ABDC ; bisect (10. 1.) AC in E, and join BE... | |
 | Euclides - 1845 - 546 sider
...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 AB into two parts, so that...and one of the parts, shall be equal to the square of the other part. H KD Upon AB describe the square ACDB; (i. 46.) bisect AC in E, (i. 10.) and join... | |
 | Euclid - 1845 - 218 sider
...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...and one of the parts, shall be equal to the square of the other part. Upon AB describe* the square ABDC ; bisectf AC in • 46. i. E, and join BE; produce... | |
 | Great Britain. Council on Education - 1845 - 696 sider
...whole and that part, together with the square of the other part. 62. To divide a given straight line into two parts, so that the rectangle contained by...and one of the parts, shall be equal to the square of the other part. 63. Show that if — B he substracted from A, the result is A + B. 64. Perform the... | |
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To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. 
