| Robert Simson - Trigonometry - 1775 - 534 pages
...parallelograms about the diameter of a fquare arc likcwife fquares. PROP. Book II. PRO PV THEO R. Fa **ftraight line be divided into two equal parts, and...with the fquare 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 equal... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...demonftration, it. is ir.anifeft that the parallelograms about the diameter of a fquare are likewife fquares. **PRO PV THEO R. IF a ftraight line be divided into...equal parts, and alfo into two unequal parts ; the** redlangle contained by the unequal parts, together with the fquare of the line between the points of... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...Consequently the fquaie of a line is four times the fquare of the half of that line. PROP. V! THEOR. **IF a ftraight line be divided into two equal parts* and alfo into two unequal parts; the** rectanglo contained by the 'unequal parts, together with the fquare of the line between the points... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...it is manifeft that the parallelograms about the diameter of a fquare are likewife fquares. PROP. V. **THEO R. IF a ftraight line be divided into two 'equal...with the fquare 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 equal... | |
| 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 the unequal parts, together with the** square of the line between the points of section, are equal to the square of half the line. Let the... | |
| 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 unequal parts, together with the** square of the line between the points of section, is equal to the square of half the line. Prop. VI.... | |
| Euclides - 1816 - 588 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 the unequal parts, together with the** square of the line between the points of section, is equal to the square of half the line. Let the... | |
| John Playfair - 1819 - 354 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 the unequal parts, together with the** square of the line between the points of section, is equal to the square of half the line. Let the... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...likewise squares. Proposition V. Tlieorem. 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 of the line between the points of section, is equal to the square of half the line. Let the... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...square 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 the •unequal parts, together with the** square of the line between the points of section, is equal to the square of half the line. Let the... | |
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