 | Education, Higher - 1882 - 498 pages
...through the point of bisection and terminated by the parallel lines are also bisected in that point. 13. If a straight line be divided into any two parts,...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... | |
 | Marianne Nops - 1882 - 278 pages
...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 - 486 pages
...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 - 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.... | |
 | College of preceptors - 1882 - 528 pages
...(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 - 428 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 - 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... | |
 | 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... | |
 | Mathematical association - 1884 - 146 pages
...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... | |
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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 up of the whole and that... 
