 | Royal college of surgeons of England - 1860 - 332 pages
...rectangle." 7. The parallelograms about the diameter of a square are squares. 8. Divide a given straight line into two such parts, that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 9. If the middle points of the... | |
 | Robert Fowler - 1861 - 426 pages
...future, &c. &c. according to the explanations in p. 7. 5. Divide a line а feet long 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. Let x = the length of the greater part, in feet. .... | |
 | Euclides - 1862 - 140 pages
...line, &o. QED PROPOSITION 8. -THEOREM. 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... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...between the points of section, is equal to the square of half the line. 9. Divide a given straight line into two such parts that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 10. Describe a square that shall... | |
 | Euclides - 1864 - 262 pages
...on the other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. FG OKD Upon AB describe the square A CDB; (l. 46.)... | |
 | Euclides - 1864 - 448 pages
...oii the other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. c KD Upon AB describe the square A CSB; (i. 46.) bisect... | |
 | Euclides - 1865 - 402 pages
...the square of the other part. Prop. 8. 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...line &c. QED B t> PROPOSITION 8. THEOREM. If a straight line be divided into any two parti, four times the rectangle contained by the whole line and one of the parts, together with the square en the other part, is equal to the square on the straight line which is made... | |
 | Robert Potts - 1868 - 434 pages
...on the other part, Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. FQ Upon AB describe the square A CDB ; (I. 46.) bisect... | |
 | James Maurice Wilson - 1869 - 260 pages
...obtain by addition that AB* + BC* = 2AD* + 2DB*. Ex. 3. To divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts is equal to the square of the other part. Let AB be the given line. Construction. Draw a square ACDB... | |
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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... 
