 | 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.... | |
| |
Iff 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 up of the whole and that... 
