 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...  Science Examinations ... Reports, Etc - Side 151906Uten tilgangsbegrensning - Om denne boken
 | Robert Potts - 1868 - 434 sider
...equal to the square 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... | |
 | Washington Hudson - 1868 - 80 sider
...which is represented by the squares с b г/and ach i. Fi«. 104. То divide a given straight line into two parts, so that the rectangle contained by the whole line and lesser part, shall be equal to the square on the other. Let AB be the given line. On AB as a side,... | |
 | James Maurice Wilson - 1869 - 260 sider
...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... | |
 | Euclides - 1871 - 136 sider
...that BGD is a straight line. /i as a 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... | |
 | Euclid, Charles Peter Mason - 1872 - 216 sider
...whole line BC and each of its parts. PBOPOSITION III. If a right line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. The propositions... | |
 | Euclides, James Hamblin Smith - 1872 - 376 sider
...straight line. PROPOSITION VIII. 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 otJter part, is equal to the square on the straight line which is made... | |
 | Euclides - 1874 - 342 sider
...equal to the square 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. Construction. Upon AB describe the square ACDB (I.... | |
 | Edward Atkins - 1874 - 426 sider
...line, &c. 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... | |
 | Francis Cuthbertson - 1874 - 400 sider
...rectangle BP, PQ + rectangle BP, QC. Hence, if a straight line be divided into any number of parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangles contained by that part and the other... | |
 | Euclides - 1874 - 120 sider
...represented in symbols, 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... | |
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