| Euclides - 1879 - 146 pages
...Observe, in suggesting only : — see the note at the beginning of Book ii.] PROPOSITION XI. PROBLEM. **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 on the other part.... | |
| University of Oxford - Greek language - 1879 - 412 pages
...side of the base shall be 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... | |
| Moffatt and Paige - 1879 - 506 pages
...straight line, etc. QED Proposition VII. Theorem. 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... | |
| 1880 - 160 pages
...the squares on the two parts, together with twice' *the rectangle contained by the two parts. (viii.) **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 on the other part.... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...are double of the squares on AC, CD. Wherefore, 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 may be equal to the square on the other part.... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...square on AC = the square on CD. PROP. VII. THEOREM. 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... | |
| French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...equal and parallel straight lines towards the same parts are also themselves equal and parallel. 2. **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 on the other part.... | |
| Moffatt and Paige - 1881 - 176 pages
...rectangle contained by AB and CD," " rect. AB, CD."] 1. 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... | |
| Education, Higher - 1883 - 536 pages
...Distinguish clearly between a theorem and a problem. 6. 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... | |
| Institution of Surveyors (Great Britain). - Surveying - 514 pages
...with the square of the line between the points of section, is equal to the square of half the line. 8. **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.... | |
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