| Robert Simson - Trigonometry - 1762 - 466 pages
...parallelo-. grams about the diameter of a fquare are likewife fquares. PROP, BooklL PRO PV THEO R. IF a **ftraight line be divided into two equal parts, and...with the fquare 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... | |
| Euclid, James Williamson - Euclid's Elements - 1781 - 309 pages
...into equal and unequal fegments; the re&angle contained by the unequal fegments of the whole line, **together with the fquare of the line between the points...fection is equal to the fquare of half the line..** For let any ftraight line AB be cut into equal fegments at the point C i and into unequal fegments... | |
| Euclid - 1781 - 520 pages
..."|F a ftraight line be divided into two equal parts; I and alfo into two unequal parts ; the rcdangle **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 line AB be divided into two equal... | |
| Euclid, John Playfair - Electronic book - 1795 - 400 pages
...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 two 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 - 351 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... | |
| Robert Simson - Trigonometry - 1804
...likewife fqu»res. ^ LCB H G r * V Book 11. 3' 45. »b 3'. '• . c- 43. '• PROP. V. THE OR. • IF a **ftraight line be divided into two equal parts, and...with the fquare 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... | |
| John Playfair - Euclid's Elements - 1806 - 311 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... | |
| Robert Simson - Trigonometry - 1806 - 518 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 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 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 - 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 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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