 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...  The elements of plane geometry - Σελίδα 110των Mathematical association - 1884Πλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Mathematical association - 1883 - 86 σελίδες
...sum of the rectangles contained by one of them and the several parts into which the other is divided. COR. 1. If a straight line is divided into two parts,...part and the rectangle contained by the two parts. COR. 2. If a straight line is divided into two parts the square on the whole line is equal to the sum... | |
 | Euclides - 1883 - 176 σελίδες
....-. AB . AB (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 σελίδες
...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 - 1883 - 428 σελίδες
...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... | |
 | Stewart W. and co - 1884 - 272 σελίδες
...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... | |
 | 1885 - 630 σελίδες
...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 - 1886 - 216 σελίδες
...triangles on the same side of the same base are between the same parallels. 3. If a straight line be divided into two parts, the rectangle contained by the whole line and one part is equal to the square of that part together with the rectangle contained by the parts. 4. In... | |
 | Dalhousie University - 1888 - 212 σελίδες
...the same 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. 4. Prove, either... | |
 | E. J. Brooksmith - 1889 - 356 σελίδες
...the sum and difference of two given straight lines. 5. Divide a 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. If AB be divided in C so that the rectangle AB, BC... | |
 | Dalhousie University - 1889 - 220 σελίδες
...section is equal to the square of half the line. 5. Divide a line into two parts so that the rectangle of the whole line and one of the parts is equal to the square of the other part. m mn m+n „ ??in 6. Shew that a X a = a , and that - = a a" 7. One vessel... | |
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