| 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
...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 unequal...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 unequal...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
...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 unequal...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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