| Peter Nicholson - 1825 - 372 sider
...the parallelograms about the diameter of a square, are likewise squares. Proposition V. Tlieorem. If **a straight line be divided into two equal parts, and...section, is equal to the square of half the line.** Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
| Euclid, John Playfair - 1826 - 320 sider
...that the parallelograms about the diameter of a square are likewise squares. •f PROP. V. THEOR. If **a straight line be divided into two equal parts, and also into two unequal parts ; the** reetangle eontained by the unequal parts, together with the square of the line between the points of... | |
| Robert Simson - 1827 - 513 sider
...manifest, that parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If **a straight line be divided into two equal parts and...section, is equal to the square of half the line.** Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
| John Playfair - 1832 - 333 sider
...a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parls, **and also into two unequal parts; the rectangle contained...section, is equal to the square of half the line.** Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
| Euclid - 1835 - 513 sider
...a square are likewise squares. e6. I. f34. I. 8 ^ '• a 46. 1. b31. 1. c 43. 1. PROP. V. THEOR. If **a straight line be divided into two equal parts, and...section, is equal to the square of half the line.** Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
| 1836 - 472 sider
...demonstration, it is manifest that the parallelograms about the diameter of a square are likewise squares. V. If **a straight line be divided into two equal parts, and...section, is equal to the square of half the line.** COR. From this proposition it is manifest, that the difference of the squares of two unequal lines... | |
| John Playfair - 1836 - 114 sider
...about the diagonal of a square are likewise squares. / G H / CPROP. XXI. THEOR. If a straight line lie **divided into two equal parts, and also into two unequal...section, is equal to the square of half the line.** Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
| Euclid, James Thomson - 1837 - 390 sider
...being bisected, the rectangle of the parts is equal to the square of one of them. PROP. V. THEOR. IF **a straight line be divided into two equal parts, and...section, is equal to the square of half the line.** Let the straight line AB be bisected in C, and divided unequally in D : the rectangle AD.DB, together... | |
| Andrew Bell - 1837 - 240 sider
...of AB is equal to the squares of AC, CB, and twice the rectangle AC-CB. PROPOSITION V. THEOREM. . If **a straight line be divided into two equal parts, and...section, is equal to the square of half the line.** Let the straight line AB he divided into two equal parts in the point C, and into two unequal parts... | |
| John Playfair - 1837 - 318 sider
...(a+i)2 =a*+2a6+62. PROP. V. THEOR. If a straight line le divided into two equal parts, andalsointo **two unequal parts; the rectangle contained by the...section, is equal to the square of half the line.** Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
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