 | Dalhousie University - 1889 - 220 pages
...square of the line between the points of section is equal to the square of half the line. 5. Divide a line into two parts so that the rectangle of the whole line and one of the parts is equal to the square of the other part. m mn m+n „ ??in 6. Shew that a X a = a , and... | |
 | Euclid - Geometry - 1890 - 442 pages
...PROBLEM — To divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. Let AB be the given st. line. On AB describe the sq. ABCD. Bisect AD in E ; and join EB. Produce EA... | |
 | 1891 - 718 pages
...on the other part. 6. Divide a given straight line into two parts so that the rectangle contained by the whole line and one part may be equal to the square on the other part. 7. Given a circle, find its centre. 8. If two circles touch one another internally or externally at... | |
 | George Albert Wentworth - Algebra - 1891 - 594 pages
...-2.41-12. 14. Divide a line 20 inches long Into two parts so that flurectangle contained by the whole and one part may be equal to the square on the other part. Let x — one part. Then 20 - x = the other part. .-. 20(20-i) = я?, 400 - 20* = z», z» -1-201 =... | |
 | Euclid - Geometry - 1892 - 460 pages
...PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. Let AB be the given straight line. It is required to divide it into two parts, so that the rectangle... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...n)*. 9. Divide a given straight line into two parts so that the 10 rectangle contained by the whole and one part may be equal to the square on the other part. 10. Prove that the straight line joining the middle point 14 of the. hypotenuse of a right-angled triangle... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...PROPOSITION 11. To divide a, given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part*. Let AB be the given straight line : it is required to divide it into two parts in a point H, so that... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...PROPOSITION 11. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part*. Let AB be the given straight line : it is required to divide it into two parts in a point H, so that... | |
 | Education - 1899 - 824 pages
...the triangle is obtuse-angled. 5. Divide a straight line so that the rectangle contained by the whole and one part may be equal to the square on the other part. Show that tho difference between the squares on the two parts is equal to the rectangle contained by... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. K Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle... | |
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To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part*. 
