| Robert Simson - Trigonometry - 1762 - 488 pages
...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 - 534 pages
...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 - 552 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.... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...of the line between the points of feclion, is equal to the fquaie 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 D ; the rectangle AD, DB, together with the fquare 01 CD, is equal to the fquare of CB.... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...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 - Trigonometry - 1804 - 530 pages
...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 - Circle-squaring - 1804 - 468 pages
...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 - 1806 - 546 pages
...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 Playfair - Mathematics - 1806 - 320 pages
...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...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 - 714 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 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... | |
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