| Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...Show that the locus of D is a circle. Produce AC to B so that CB=AC, and use Ex. 203. PROPOSITION 11. **PROBLEM. To divide a given straight line into two...that the rectangle contained by the whole and one** part shall be equal to the square on the other. Let AB be the given st. line ; it is required to divide... | |
| Queensland. Department of Public Instruction - 1890
...equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 7. **To divide a given straight line into two parts, so that the rectangle contained by the** whola and one of the parts may be equal to the square on the other part. For Admission as Teacher of... | |
| Royal Military College, Sandhurst - 1890 - 132 páginas
...employed, but the method of proof must be geometrical. Great importance will be attached to accuracy I\ i. **Divide a given straight line into two parts, so that the rectangle contained by the whole** line and one of the parts may be equal to the square on the other part. If the straight line PQ is... | |
| Edward Albert Bowser - 1890 - 393 páginas
...OBC, OCA are equal. 59. Construct a square that shall be one-third of a given square. 60. Divide a **straight line into two parts so that the rectangle contained by the whole and one** part may be equal to a given square. 61. Produce AB to C so that the rectangle of AB and AC may be... | |
| 1891
...whole and that part together with the square on the other part. Prove this proposition. 8. Divide a **straight line into two parts so that the rectangle contained by the whole and one of the parts** may be equal to the square on the other part. 9. If a straight line be divided into any two parts,... | |
| Seth Thayer Stewart - 1891 - 406 páginas
...sum of their squares may equal a given square, and their rectangle, a given rectangle. 19. Divide a **straight line into two parts, so that the rectangle contained by the whole and one of the parts** may equal the square of a line given less than the line to be divided. 20. Divide a given line into... | |
| 1891
...sum of squares on one pair of opposite sides is equal to the sum of squares on the other pair. 4. (a) **To divide a given straight line into two parts so that the rectangle contained by** 5. If a straight line be divided into any two parts, the squares on the whole line andón one of the... | |
| George Albert Wentworth - 1891 - 521 páginas
...area of which would be doubled by increasing its radius by 1 inch. 14. Divide a line 20 inches long **into two parts so that the rectangle contained by the whole and one** part may be equal to the square on the other part. 16. A can do some work in 9 hours less time than... | |
| 1891
...the squares on half the line bisected and on the line made up of the half and the part produced. 6. **Divide a given straight line into two parts so that the rectangle contained** bv the whole and one of the parts may be equal to the square on the other part. 7. If a diameter of... | |
| Rupert Deakin - 1891 - 79 páginas
...parallel to BC meeting AB and AC in D and E. Prove that DE is equal to the sum of BD and CE. 4. Show how **to divide a given straight line into two parts so that the** square of one part may be equal to three times the square of the other part. 5. In the figure of Prop.... | |
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