| Marianne Nops - 1882
...square on half their sum. Rect. AD, DB and sq. on CD = sq. on CB. Includes Euclid's II. 5 and 6. n. 8. **If a straight line be divided into any two parts,...contained by the whole line and one of the parts,** with the square on the other part, is equal to the square on the straight line which is made up of... | |
| 1882
...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... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882
...triangle are together less than two right angles. 5. If a straight line be divided into any two parts, **the rectangle contained by the whole line and one of the parts** is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.... | |
| College of preceptors - 1882
...(without proof) a converse of this proposition. 4. To 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. Give the enunciation (without the proof) of a subsequent... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...BC, together with the square on AC. EUCLID'S ELEMENTS. PROPOSITION 8. THEOREM. If a straight line lie **divided into any two parts, four times the rectangle...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 up of the whole and that... | |
| 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 - 96 pages
...(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... | |
| University of Glasgow - 1883
...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... | |
| 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... | |
| Association for the improvement of geometrical teaching - Geometry, Plane - 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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