 | Robert Simson - 1762 - 488 sider
...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 - 534 sider
...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... | |
 | John Playfair, Euclid - 1804 - 468 sider
...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 - 530 sider
...'• . 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 - 320 sider
...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 - 528 sider
...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 - 350 sider
...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 - 326 sider
...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 - 112 sider
...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 - 206 sider
...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... | |
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If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 
