| Euclides - 1881 - 236 sider
...four times thu rectangle contained by fiem. ya straiyht line be divided into any two parts, four timet **the rectangle contained by the whole line, and one of the parts,** toe/ether with the square of the other part, is equal to the square of the straight line, which it... | |
| 1882 - 498 sider
...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... | |
| College of preceptors - 1882 - 528 sider
...(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... | |
| 1882 - 480 sider
...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... | |
| Marianne Nops - 1882 - 278 sider
...whole square. — QED Proposition III. shows that a straight line AB, being divided at any point C, **the rectangle contained by the whole line and one of the parts** (rect. AB, BC) shall be equal to the square on that part (sq. on BC), together with the rectangle contained... | |
| Mathematical association - 1883 - 86 sider
...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. If a straight... | |
| Euclid, Isaac Todhunter - 1883 - 426 sider
...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... | |
| University of Glasgow - 1883 - 438 sider
...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... | |
| Euclides - 1883 - 176 sider
...(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... | |
| Mathematical association - 1884 - 146 sider
...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 from Theor.... | |
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