| Robert Simson - 1762 - 466 páginas
...likewife fquares. PROP, BooklL PRO PV THEO R. IF a ftraight line be divided into two equal parts, and alfo **into two unequal parts ; the rectangle contained by the unequal parts, together with the** fquare of the line between the points of fe&ion, is equal to the fquare of half the line. Let the ftraight... | |
| Robert Simson - 1775 - 520 páginas
...likcwife fquares. PROP. Book II. PRO PV THEO R. Fa ftraight line be divided into two equal parts, and alfo **into two unequal parts ; the rectangle contained by the unequal parts, together with the** fquare of the line between the points of fection, is equal to the fquare of half the line. Let the... | |
| Euclid, John Playfair - 1804 - 440 páginas
...are likewife fquares. PROP. V. THEO R. IF a ftraight line be divided into two 'equal parts, and alfo **into two unequal parts ; the rectangle contained by the unequal parts, together with the** fquare of the line between the points of fection, is equal to the fquare of half the line. Let the... | |
| Robert Simson - 1804
...'• . c- 43. '• PROP. V. THE OR. • IF a ftraight line be divided into two equal parts, and alfo **into two unequal parts ; the rectangle contained by the unequal parts, together with the** fquare of the line between the points of fe&ion, is equal to the fquare of half the line. Let the ftraight... | |
| John Playfair - 1806 - 311 páginas
...manifest that the parallelograms about the diameter of a square are likewise squares. . PROP. V. THEOR. **IF a straight line be divided into two equal parts,...square of the line between the points of section,** are equal to the square of half the line. Let the straight line AB be divided into two equal parts... | |
| Charles Butler - 1814
...product a+or.a— «•= aa — xx ; to each of these equals add xx, and a+xa — x+xx=aa, that b, **the rectangle contained by the unequal parts, together with the square of** (x) the line between the points of section is equal to the square of (a) half the line. QED In the... | |
| John Playfair - 1819 - 333 páginas
...manifest that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. **If a straight line be divided into two equal parts, and also into two** uneqtial parts ; the rectangle contained by the unequal parts, together with the square of the line... | |
| Euclid, John Playfair - 1826 - 320 páginas
...manifest 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... | |
| Euclides - 1837 - 88 páginas
...AC2 + CB2 + figs. AG + GE, and that these are = AC* + CB8 + 2 AC x CB. D H M PROPOSITION V. Theorem. **If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle** A contained by the unequal parts, I together with the square of the line between the points of section,... | |
| Robert Simson (master of Colebrooke house acad, Islington.) - 1838
...square of the hypotenuse is equal to the sum of the squares of the other two sides. 14. If a right **line be divided into two equal parts, and also into two unequal parts,** what equations will result? 15. The base of a right-angled triangle is 300 feet, and the sum of the... | |
| |