| Henry Latham - 1857 - 390 pages
...parallelograms thus formed shall pass through the same point. 3. Shew by diagram that a (b + c} = ab + ac. **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.... | |
| Royal college of surgeons of England - 1860 - 336 pages
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 4. **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 on. the other part.... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...double of the squares on AC, CD. "Wherefore, if a straight line, &e. QED * PROPOSITION XI. PROBLEM. **To divide a given straight line into two parts, so that the** rectangle eontained by the whole and one of the parts, shall be equal to the square on the other part.... | |
| Euclides - 1860 - 288 pages
...the squares on half the line and the mean distance. If a straight line be divided into any two parts, **the squares on the whole line, and on one of the parts,** are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
| War office - 1861 - 714 pages
...the same parallels, are equal to one another. 3. If a straight line be divided into any two parts, **the squares on the whole line and on one of the parts** are equal to twice the rectangle contained by the whole and that part together with the square on the... | |
| War office - 1861 - 260 pages
...No. II. REV. WN GRIFFIN, MA 1. Any two sides of a triangle are together greater than the third. 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 on the other part.... | |
| Woolwich roy. military acad - 1861 - 572 pages
...early part of the table and gradually decreasing. 14. If a straight line be divided into any two parts, **the squares on the whole line and on one of the parts** are equal to twice the rectangle contained by the whole and that part together with the square of the... | |
| Alfred Wrigley - Mathematics - 1862 - 330 pages
...contained by the chord joining the points of contact, and the diameter drawn from one of these points. 71. **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 a given line, which... | |
| Euclides - 1862 - 140 pages
...squares on AC and CD. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 11.— 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 on the other part.... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...section, is equal to the square on half the line. 9. If a straight line be divided into any two parts, **the squares on the whole line and on one of the parts** are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
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