| 1882
...with twice the rectangle contained by the two parts. 5. Divide a given straight lite 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. Divide a given ttraight line into two parts so that the... | |
| 1882
...lines are also bisected in that point. 13. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts** together with the square on the other part is equal to the square on the straight line which is made... | |
| University of Glasgow - 1883
...in reference to human action. HIGHER MATHEMATICS. Uth Oc'ober, 1882. 1. Divide a given straight lino **into two parts, such that the rectangle contained by the whole line and one of the parts shall** be equal to the square on the other part. Where does Euclid afterwards make use of this proposition... | |
| Euclid, Isaac Todhunter - 1883 - Liczba stron: 400
...EUCLID'S ELEMENTS. PROPOSITION 8. THEOREM. If a straight line lie divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square on the other part, is equal to the square on the straight line which is made... | |
| Mathematical association - 1883
...several parts into which the other is divided. COR. 1. If a straight line is divided into two parts, **the rectangle contained by the whole line and one of the parts** is equal to the sum of the square on that part and the rectangle contained by the two parts. COR. 2.... | |
| Euclides - 1883 - Liczba stron: 96
...(ie, AB2) = AB . AC + AB . CB. QED PROP. 3. THEOR. If a straight line be divided into any two parts, **the rectangle contained by the whole line and one of the parts** will be equal to the square on that part together with the rectangle contained by the two parts. Let... | |
| Euclides - 1884
...external segments ; for AB = AD - BD, or BD - AD. 6. When a straight line is divided into two segments, **such that the rectangle contained by the whole line and one of the** segments is equal to the square on the other segment, the straight line is said to be divided in medial... | |
| Mathematical association - 1884
...contained by AB and CE, AB and EF, AB and FD. QED COR. 1. If a straight line is divided into two parts, **the rectangle contained by the whole line and one of the parts** is equal to the sum of the square on that part and the rectangle contained by the two parts. This follows... | |
| Stewart W. and co - 1884
...together with the square of AC. VIII. — If a straight line be divided into any two parts four times **the rectangle contained by the whole line, and one of the parts,** together with the square of the other part, is equal to the square of the straight line, which is made... | |
| Association for the improvement of geometrical teaching - 1884
...contained by AB and CE, AB and EF, AB and FD. QED vj COR. 1. If a straight line is divided into two parts, **the rectangle contained by the whole line and one of the parts** is equal to the sum of the square on that part and the rectangle contained by the two parts. This follows... | |
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