 | Education Department,London - 1876 - 1010 pagine
...described will be equal to the sum of all the others so described with twice the original square. 3. To divide a given straight line into two parts so...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 to form an oblong,... | |
 | Robert Potts - 1876 - 446 pagine
...the square on half ithe line and of the square on the line between the points of section. 8. 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 square on the other part. 9. In the Algebraic solution of the preceding problem,... | |
 | Euclides, James Hamblin Smith - 1876 - 376 pagine
...together with twice sq. on CD. QEB LA. IB Cor. PROPOSITION XI. PROBLEM. To divide a given straiyht line into two parts, so that the rectangle contained by the whole and one of the parts sliatt be equal to the square on the other part. It JD K n Let AB be the given si. line. On AB descr.... | |
 | Queensland. Department of Public Instruction - 1909 - 144 pagine
...correspond to the algebraical iden itics— (i.) <i(6 + c) = ab ^ ac. (it) (a - 6)' =a' - 2ot + l»(i. Divide a given straight line into two parts so that...and one of the parts shall be equal to the .square on t he other part. Kind both points of section, and treat the problem also algebraically. 7. Prove... | |
 | Euclides - 1878 - 398 pagine
...AC together with twice sq. on EF •= twice sq. on AC together with twice sq. on CD. QED PROPOSITION XI. PROBLEM. To divide a given straight line into...that the rectangle contained by the whole and one of tlie parts shall be equal to the square on the other part. JF ._& 1. 46. I. 10. Let AB be the given... | |
 | Euclides - 1879 - 146 pagine
...this nature. Observe, in suggesting only : — see the note at the beginning of Book ii.] PROPOSITION XI. PROBLEM. To divide a given straight line into...rectangle contained by the whole and one of the parts may be equal to the square on the other part. Let AB be the given st. line. It is required to divide... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pagine
...twice sq. on AC together with twice sq. on CD. QED PROPOSITION XI. PROBLEM. To divide a given straiijht line into two parts, so that the rectangle contained...and one of the parts shall be equal to the square on the other part, <, Let AB be the given st. line. On AB descr. the sq. ADCB. Bisect AD in E and join... | |
 | Edward Harri Mathews - 1879 - 94 pagine
...described will be equal to the sum of all the others so described, with twice the original square. 3. To divide a given straight line into two parts so...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 to form an oblong,... | |
 | University of Oxford - 1879 - 414 pagine
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 9. 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. 11. Inscribe an equilateral... | |
 | Great Britain. Civil Service Commission - 1879 - 620 pagine
...parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 5. Angles in the same segment... | |
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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. 
