 | Euclides - 1871 - 136 σελίδες
...twice sq. on EF = twice sq. on AC together with twice sq. on CD. QED; To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. x) Let AB be the given st. line. On... | |
 | Henry Major - 1873 - 588 σελίδες
...whole and one of the parts shall be equal to the square of the other part. It is required to divide AB into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. Upon AB describe the square ACDB ;... | |
 | Charles Elsee - 1873 - 320 σελίδες
...the other travels yards per second. Determine their rates per hour. (24) Divide a line 20 inches long into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. (25) Land was bought for 1000 guineas ; and... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...the straight line which is made up of the half and the part produced. 2. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. Prove that the given straight line has... | |
 | Euclides - 1874 - 342 σελίδες
...Wherefore, if a straight line, &c. QED PROPOSITION 11.— Problem. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part. Let AB be the given straight line.... | |
 | Euclides - 1874 - 120 σελίδες
...stated, and prove that the equation is true. PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 1. Let AB be the given straight line... | |
 | Edward Atkins - 1874 - 428 σελίδες
...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 and one of the parts shall be equal to the square on the other part. CONSTRUCTION. — Upon AB describe... | |
 | Francis Cuthbertson - 1874 - 400 σελίδες
...the segments of the base equals the square of either of the other sides. 4. Divide a straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the rectangle contained by the other part and a given straight line.... | |
 | Robert Potts - 1876 - 446 σελίδες
...equal to the sum of the squares of the segments of the diameter. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on .the other part. Solve the problem algebraically.... | |
 | Education Department,London - 1876 - 1010 σελίδες
...sum of all the others so described with twice the original square. 3. To divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. If the constructed figure be completed... | |
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AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. 
