 | 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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AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. 
