 | John Playfair - 1835 - 336 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 - 540 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 - 488 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 - 148 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 - 488 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 - 112 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 - 332 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 - 410 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 - 290 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.... | |
 | Robert Simson - 1838 - 434 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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IF a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided... 
