| Robert Simson - Trigonometry - 1762 - 466 pages
...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 - Trigonometry - 1775 - 520 pages
...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 - 1781 - 550 pages
...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. Upon CB d<:fcribe... | |
| John Playfair - Euclid's Elements - 1804 - 470 pages
...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 - Trigonometry - 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 - Euclid's Elements - 1806 - 320 pages
...are 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...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... | |
| John Mason Good - 1813 - 722 pages
...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...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 - Mathematics - 1814 - 528 pages
...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 pages
...are 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...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... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...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,...equal parts in the point C, and into two unequal parts** in the point D ; the rectangle AD.DB, together with the square of CD, is equal to the square of CB,... | |
| |