| 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... | |
| 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... | |
| Euclid, John Playfair - Circle-squaring - 1804 - 440 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... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...manifest that the parallelograms about the diameter of a square are likewise squares. . PROP. V. THEOR. **IF a straight line be divided into two equal parts,...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 straight... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...manifest, that the paralJelograms about the diameter of a square are likewise squares. PROP. V. THEOR. **IF a straight line be divided into two equal parts,...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 straight... | |
| Euclid - Geometry - 1810 - 518 pages
...square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, aid **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 straight... | |
| John Mason Good - 1813
...squares of the two parts, together •with twice the rectangle contained by the parts. Prop. V. Theor. **If a straight line be divided into two equal parts,...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. Theor.... | |
| Charles Butler - Mathematics - 1814
...— 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 corollary, it is evident that CMG=the difference or excess of CF above... | |
| Euclides - 1816 - 528 pages
...manifest, that the parallelograms about the diameterof a square are likewise squares. PROP. V. THEOR. **IF a straight line be divided into two equal parts,...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 straight... | |
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