| Euclides - 1853
...straight line, &c. QED PROP. VII. THEOREM. If a straight line be divided into any two parts, the squares **of the whole line and of one of the parts, are equal to twice the rectangle contained by** tke whole and that part, together with the square of the other part. Let the straight line AB be divided... | |
| William Somerville Orr - 1854
...THEOREM. If a straight line (AB) be divided into any two parts (in C), the squares of the whole lint, **and of one of the parts, are equal to twice the rectangle contained by the whole and** Hunt part, together with the square of the other part: that is, AB2 + BC2=twice AB'BC + AC!. [See Diagram,... | |
| Thomas Lund - 1854 - 192 sider
...line be divided into any two parts, the squares of the whole line and one of the parts are together **equal to twice the rectangle contained by the whole and that part, together with the** square of the other part. With the same construction as in (44), and in the same manner it may be shewn,... | |
| Euclides - 1855
...square of СD. Р B, O P. VII. THEOREM. If a straight line be divided into any two parts, the squares **of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the** square of the other part. Let the straight line AB be divided into any two parts at the point С. The... | |
| Cambridge univ, exam. papers - 1856
...parallelogram will also be a square. 4. If a straight line be divided into any two parts, the squares **of the whole line and of one of the parts, are equal...contained by the whole and that part, together with the** square of the other part. State this result algebraically. 5. One circle cannot touch another in more... | |
| W. F. RICHARDS - 1856 - 184 sider
...rectangle contained by the parts. 2. If a straight line be divided into any two parts, the squares **of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the** square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line... | |
| 1856
...to a given rectilineal angle. and 2. If a straight line be divided into any two parts, the squares **of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the** square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line... | |
| John Playfair - 1856 - 318 sider
...VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and . ^jgfone **of the parts, are equal to twice the rectangle contained by the whole and that part, together with the** square of the other part. Let the straight line AB be divided into any two parts in the point C ; the... | |
| Euclides - 1856
...straight line be divided into any two parts, the squares of the whole line and of one of the parts is **equal to twice the rectangle contained by the whole and that part together with the** square of the other part. Let AB (Fig. 39) be divided into any two parts in the point C, the squares... | |
| Middle-class education - 1857
...answer. 32. Prove geometrically that, if a straight line be divided into any two parts, the squares **of the whole line and of one of the parts are equal...contained by the whole, and that part, together with the** square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line... | |
| |