 | Edinburgh univ - 1868 - 336 pages
...Equal triangles upon the same base, and upon the same side of it, are between the same parallels. 4. 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 of the other part. 5. The angles in the... | |
 | Washington Hudson - 1868 - 80 pages
...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 - 876 pages
...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 - 434 pages
...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.) - Civil service - 1869 - 196 pages
...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 - 272 pages
...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 - 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. x) Let AB be the given... | |
 | 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. xt jc a Let AB be... | |
 | 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. It is required to divide... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...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... | |
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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. 
