| Washington Hudson - 1868
...other in the required ratio, 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.... | |
| 1868
...is equal to the square of the straight line which is made up of the half and the part produced 25 5. **Divide a given straight line into two parts, so that the rectangle contained by** the whole mid one of the pails shall be equal to the square of the other part 25 100 B. Latt of Pupils... | |
| Robert Potts - 1868 - 410 páginas
...double of the squares on AC, CD ; but DG is equal to DB; BOOK II. PROP. XI. PROPOSITION XI. 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... | |
| Robert Johnston (F.R.G.S.) - 1869 - 178 páginas
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 5. **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. 6. Draw a straight line... | |
| Cambridge univ, exam. papers - 1870
...by the straight lines BD, CD ; prove that the angle BDC is half the sum of the angles ABG, ACS. 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. Produce a given straight... | |
| Euclides - 1871
...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. x) Let AB be the given... | |
| Euclides, James Hamblin Smith - 1872 - 349 páginas
...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. xt jc a Let AB be... | |
| Henry Major - 1873
...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. It is required to divide... | |
| Francis Cuthbertson - 1874 - 349 páginas
...which are not parallel and twice the rectangle contained by the sides which are parallel. 11. Divide a **straight line into two parts so that the rectangle contained by them may be equal to** a given rectangle. 1 2. Describe a rectangle equal to a given square, and having its perimeter equal... | |
| Euclides - 1874
...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. Let AB be the given... | |
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