 | 1896 - 154 páginas
...together double the sum of the squares on half the line, and on the line between the points of section. Divide a given straight line into two parts, so that the rectangle contained by them may be equal to the square described on a given straight line, which is less than half the straight... | |
 | Northwest Territories Council of Public Instruction - 1897 - 628 páginas
...rectangle contained by the two parts. II. 4. (6) Deduce II. 7. from propositions II. 4. and II. 3. 6. Divide a given straight line into two parts, so that...rectangle contained by the whole and one of the parts may be equal to the square on the other part. II. 11. 7. (a) Prove that if two circles touch one another... | |
 | Great Britain. Education Department. Department of Science and Art - 1899 - 348 páginas
...altogether. No student can he passed who fails to obtain marks in any one section. A. 21. Show how to divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square of the other part. Show how to describe a right-angled triangle such... | |
 | University of Sydney - 1900 - 646 páginas
...joined in order, a parallelogram will be formed whose area is half that of the given quadrilateral. 3. Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. 4. In equal circles the arcs which subtend equal... | |
 | 1900 - 166 páginas
...- 1) shew that the series is a GP Sum to ten terms the series -i._,.— + , 2 2* 2* 2* 6. Shew how to 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 (i.) to the square, (ii.) to double of the square on the other... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 páginas
...its parallel sides. PROBLEMS. 37. Construct a rectangle equal to the difference of two squares. 38. Divide a given straight line into two parts so that the rectangle contained by them may be equal to the square described on a given straight line which is less than half the straight... | |
 | Manitoba. Department of Education - 1900 - 558 páginas
...contained by BA, AE is equal to the rectangle contained by CA, AD. 4. Define a rectangle. Divide a 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 on the other part. Prove that, when a straight... | |
 | University of Toronto - 1901 - 1190 páginas
...parallelogram ADBE be completed so that E is on the side of AB remote from D, then CE is bisected by AB.\ 3. To divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the |>art8 may be equal to the square on the other part. (II. 11.)If ABC be any triangle,... | |
 | 1901 - 488 páginas
...together with twice the square on the line drawn from the vertex to the middle point of the basj. 10. Divide a given straight line into two parts so that the rectangle contained by them may be equal to the square on a given straight line which is less than half the line to be divided.... | |
 | Eldred John Brooksmith - 1901 - 368 páginas
...Show that this includes some of Euclid's propositions, in Book II., as particular cases. 5. Show how to divide a given straight line into two parts, so that the square on one part may be equal to the rectangle contained by the whole line and the other part. 6.... | |
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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 of the other part. 
