| Euclides - 1871 - 136 pages
...twice sq. on AC together with 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.... | |
| Euclides - 1872 - 102 pages
...complements, for a given parallelogram, can have ? n. 11. Divide a given straight line into two parts such **that the squares on the whole line and on one of the parts** shall be together double of the square on the other part. 1867. in. 22. If the chords, which bisect... | |
| Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...larger, in the sixth, the latter. PBOPOSITION VTI. If a straight line be divided into any two parts, **the squares on the whole line and on one of the parts** are together equal to twice the rectangle contained by the whole and that part together with the square... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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 two parts, so that the** rectangle contained by the irhcle and one of the parts shall 6« equal to the square on the other part.... | |
| University of Madras - 1873 - 436 pages
...that 6hall be equal to a given triangle. V. If a straight line be divided into any two parts, prove **that the squares on the whole line, and on one of the parts,** are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
| Henry Major - Student teachers - 1873 - 588 pages
...; bnt DG is equal to DB ; therefore the squares of AD, DB are twice the squares of AC, CD. XI. — **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 of the other part.... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...to the base BC and EB joined : prove that square on BE = rect. (BC, DE) + square on CE. 9. Divide a **straight line into two parts so that the squares on the whole line and on one of the parts** shall be together equal to three times the square on the other part. 10. Prove that the squares on... | |
| Euclides - 1874 - 342 pages
...double of the squares on AC, CD. 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.... | |
| Euclides - 1874 - 120 pages
...this proposition may be thus 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.... | |
| Braithwaite Arnett - 1874 - 130 pages
...TRIGONOMETRY). Logarithm books will not be required. 1. If a straight line be divided into any two parts, **the squares on the whole line, and on one of the parts,** are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
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