| John Mason Good - 1819
...line. , Prop. 1 1. Theor. If a straight line be divided into any two parts, the rectangles contained hy **the whole and each of the parts, are together equal to the square of the whole line.** Prop. HI. Theor. If a straight line be divided into any two parts, the rectangle contained by the «•hole... | |
| John Playfair - 1819 - 317 sider
...twice the rectangle contained by the whole andfthat part, together with the square of the other part. i **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, or AB3+BC3=2AB.BC+AC3.... | |
| John Playfair - 1819 - 333 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,... | |
| Peter Nicholson - 1825 - 372 sider
...be two straight lines, &c. QED Proposition II. Theorem. 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 into any two parts in the point... | |
| Euclides - 1826
...of AB. If therefore a right line, &c. QED Deduction. If a right line be divided into any number of **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** The same by Algebra. Let a equal the line AB, and suppose it divided into any two parts e,f; then shall... | |
| Euclid - 1826 - 180 sider
...of AB. If therefore a right line, &c. QED Deduction. If a right line be divided into any number of **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** The same by Algebra, Let a equal the line AB, and suppose it divided into any two parts e,f; then shall... | |
| John Playfair - 1826 - 320 sider
...THEOR. If a straight line be divided into any two parts, the reetangles eontained by the whole and eaeh **of the parts, are together equal to the square of the whole line. Let the straight line** ABhe divided into any two parts in the point C ; the reetansilp AB BC, together with the reet- . „... | |
| Robert Simson - 1827 - 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 shall be equal to the squares of AC, CB, together with twice the rectangle contained... | |
| John Playfair - 1829 - 186 sider
...lines. If a straight line be divided into any two parts, the two rectangles contained by the whole line **and each of the parts are together equal to the square of the whole line.** ..If a straight line be divided into any two parts, the rectangle contained by the whole line and one... | |
| John Playfair - 1833 - 333 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...of the parts, are together equal to the square of** tlte whole line. Let the straight line AB be divided into any two parts in the point C ; the rectangle... | |
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