 | 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.... | |
 | Simon Newcomb - Algebra - 1884 - 576 pages
...remaining 45 acres is cultivated. What are the dimensions of the field? 35. If a straight line be divided into two such parts that the rectangle contained by the whole line and one part is equal to 6 times the square of the other part, what will be the ratio of these two parts? 36.... | |
 | Euclides - 1884 - 434 pages
...segments ; for AB = AD - BD, or BD - AD. 6. When a straight line is divided into two segments, such that the rectangle contained by the whole line and one of the segments is equal to the square on the other segment, the straight line is said to be divided in medial... | |
 | Stewart W. and co - 1884 - 272 pages
...together with the square of AC. VIII. — 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 of the other part, is equal to the square of the straight line, which is made... | |
 | 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... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...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... | |
 | Education - 1885 - 630 pages
...proposition given to him in the form of—' If a straight line be divided into any two pans, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equivalent to the square of the straight line, which... | |
 | Dalhousie University - 1888 - 212 pages
...side, these two straight lines shall be parallel. 3. If a straight line be diyided 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.... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...that the rectangle AC . BD = AB . CD + BC . AD. 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. 5. Equal straight lines in a circle are equally distant... | |
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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... 
