| John Playfair - 1835 - 316 sider
...d ; then, A(b-\-c-\-d) = Ai+Ac-f- Ad. PROP. II. THEOR. If a straight line be divided' into any two **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** CB Let the straight line AB be divided into any two parts in the point C ; the rectangle AB.BC, together... | |
| Euclid - 1835 - 513 sider
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. **Let the straight line AB be divided into any two parts in** C; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC,... | |
| 1836 - 472 sider
...undivided line, and the several parts of the divided line. II. If a straight line be divided into any two **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** III. If a straight line be divided into any two parts, the rectangle contained by the whole and one... | |
| John Playfair - 1836 - 114 sider
...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** squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC. Upon AB... | |
| John Playfair - 1836 - 471 sider
...THEOR. If a straight line be divided into any two parts, the rectangles contained by the whole ana **each of the parts, are together equal to the square of the whole line.** ~ C D E Let the straight line AB be divided into any two parts in the point C ; the rectangle t AB.BC,... | |
| Euclides - 1837 - 88 sider
...are = A x BD + A x BE + AX EC. PROPOSITION II. Theorem. If a straight line be divided J. into any two **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** B iT~E Proved by showing that AB* = figures AF + CE ; and that these are = AB x AC + AB x BC. PROPOSITION... | |
| John Playfair - 1837 - 318 sider
...c, and d ; then, A(6+c-|-<i)=A4+Ac+A5. PROP. II. THEOR. If a straight line be divided into any two **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** •' c B Let the straight line AB be divided into any two parts in the point C ; the rectangle AB.BC,... | |
| Euclid, James Thomson - 1837 - 390 sider
...of the whole line is equal to the squares of the two parts, together with twice their rectangle, t **Let the straight line AB be divided into any two parts in** C ; the square of AB is equal to the squares of AC and CB, together with twice the rectangle under... | |
| Andrew Bell - 1837 - 240 sider
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. **Let the straight line AB be divided into any two parts in** C ; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC'CB.... | |
| Euclid, Robert Simson - 1838 - 416 sider
...if there be two straight lines, &c. QED PROP. II. THEOR. IF a straight line be divided into any two **parts, the rectangles contained by the whole and each...line. Let the straight line AB be divided into any** A two parts in the point C; the rectangle contained by AB, BC, together with the rectangle* AB, AC,... | |
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