| Robert Simson - 1762 - 466 sider
...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 sider
...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 - 1781 - 520 sider
...of the line between the points of fe&ion, is equal to the fquare of half the. line. Let the ftraight **line AB be divided into two equal parts in the point C, and into two unequal parts** at the point 1); the rectangle AD, DI3, together with the fquare of CD, is equal to the fquare of CB.... | |
| Alexander Ingram - 1799 - 351 sider
...of the line between the points of fection, is equal to the fquare of half the line. Let the ftraight **line AB be divided into two e^qual parts in the point C, and into two unequal parts** at the point D ; the reft* angle AD, DB, together with the fquare of CD> is equal to the fquare of... | |
| 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... | |
| Robert Simson - 1806 - 518 sider
...likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into **two unequal parts ; the rectangle contained by the...equal parts in the point C, and into two unequal parts** at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB.... | |
| John Mason Good - 1813
...contained by the parts. Prop. V. Theor. If a straight line be divided into two equal parts, and also into **two unequal parts) the rectangle contained by the...section, is equal to the square of half the line.** Prop. VI. Theor. If a straight line be bisected, and produced to any point; the rectangle contained... | |
| 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... | |
| Euclides - 1816 - 528 sider
...likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into **two unequal parts, the rectangle contained by the...line. Let the straight line AB be divided into two** e qual parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together... | |
| John Playfair - 1819 - 317 sider
...likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into **two unequal parts ; the rectangle contained by the...half the line. Let the straight line AB be divided** into%two equal parts in the point C, and into two unequal parts in the point D ; the rectangle AD.DB,... | |
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