semi-cubicaladj.
Mathematics.
Applied to the curve of the third degree with a cusp referred to rectangular axes, the equation to which can always be reduced to the form ay2 = x3. The exponent of the power of the abscissa which is proportional to the ordinate is 3/2, whence the name.
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the world > relative properties > number > geometry > curve > [adjective] > relating to curve of specific order
conchoidal1666
semi-cubic1673
semi-cubical1674
cubical1728
cissoidal1796
bicircular1867
1674 J. Wallis Let. 24 Mar. in H. Oldenburg Corr. (1975) X. 535 Yet I would not have him mis-take me; for though I sayd, yt in ye Semi-cubicall (which is the most simple of those we rectified) whose ordinates are in Subtriplicate of ye Duplicate proportion of ye Diameters.
1677 J. Wallis Let. in S. P. Rigaud & S. J. Rigaud Corr. Sci. Men 17th Cent. (1841) (modernized text) II. 609 That [invention] of Mr. Neale is straightening the semi~cubical parabola without supposing the squaring an hyperbola.
1704 J. Harris Lexicon Technicum I Semi-cubical Paraboloid, is a Curve whose Ordinates are in Subtriplicate of the Duplicate proportion of the Diameter.
1850 G. Salmon Treat. Conic Sections (ed. 2) 329 We have for the equation of the evolute,..the equation of a curve called the semi-cubical parabola.
This entry has not yet been fully updated (first published 1911; most recently modified version published online June 2019).
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adj.1674