 | Euclides - Euclid's Elements - 1881 - 236 pages
...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 - 486 pages
...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 rectangle contained... | |
 | Marianne Nops - 1882 - 278 pages
...(I. 47). Prop. XI., the first problem in the book is 'To divide a straight line into two parts, so that the rectangle contained by the whole line and one of the parts is equal to the square on the other.' Adopting the method of analysis we will assume that the point... | |
 | College of preceptors - 1882 - 528 pages
...and meeting the sides (produced if necessary). 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts shall be equal to the rectangle contained by the two parts together with the square on the aforesaid... | |
 | Education, Higher - 1882 - 498 pages
...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... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...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.... | |
 | University of Glasgow - 1883 - 438 pages
...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 - Euclid's Elements - 1883 - 428 pages
...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 - 86 pages
...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 - 176 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... | |
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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... 
