| 释义 |
† sursolid, n. and a. Math. Obs.
[app. etymologizing alteration of surdesolid, by reference to sur- prefix; surd-solid was app. an intermediate form. Cf. F. sursolide, It. soprasolido.]
A. n. The fifth power of a number or quantity; also, an equation of the fifth degree.
Also extended to higher uneven powers, not being multiples of 2 or 3: see quot. 1700.
1557Recorde Whetst. G iij b, .4. multiplications doe yelde a sursolide. 1613J. Tapp Pathw. Knowledge 295 If the quantity be sursolids and the number 1024, then is the sursolid roote thereof 4. 1672Gregory in Rigaud Corr. Sci. Men (1841) II. 230 One which will serve for all cubic equations, another for all biquadratics, another for all sursolids. 1695J. Wallis in Phil. Trans. XIX. 3 If we would Extract the Root of an imperfect Sursolid. 1700Moxon Math. Dict. (1701) s.v., 32 is the 5th power of 2, and is called the Sursolid..128 the 7th power, or the second Sursolid. 1806Robertson in Phil. Trans. XCVI. 310 A sursolid, or an equation of five dimensions. 1817H. T. Colebrooke Algebra, etc. 140 First the highest power, for example the sursolid; then the next, the biquadrate; after it the cube, &c.
B. adj. Of the fifth degree; that is a fifth power or root; involving the fifth power of a quantity.
Also applied to a problem, etc. involving expressions or magnitudes of higher degree than that called ‘solid’ (cf. quot. 1704 s.v. solid a. 2 c), and to loci of a higher degree than those termed ‘solid’ (see quot. 1726 s.v. surdesolid).
1557Recorde Whetst. G iv, That roote is a Sursolide roote, that yeldeth a Sursolide nomber. 1672Gregory in Rigaud Corr. Sci. Men (1841) II. 230 A sursolid equation. 1704J. Harris Lex. Techn. I, Sursolid-Problem..is that which cannot be resolved, but by Curves of a higher nature than Conick-Sections. Ibid., Place Sursolid, is when the Point is in the Circumference of a Curve of an higher Gender than the Conick Sections. [Cf. place n. 8 b.] 1706J. Ward Introd. Math. i. xi. (1713) 135 To Extract the Sursolid Root. |