homaloidn.adj.

1850 J. J. Sylvester in London, Edinb. & Dublin Philos. Mag. 37 368 The Homaloidal law..is a corollary to a proposition which represents analytically the indefinite extension of a property common to lines and surfaces to all loci (whether in ordinary or transcendental space) of the first order, all of which loci may, by an abstraction derived from the idea of levelness common to straight lines and planes, be called Homaloids.

1870 Philos. Trans. (Royal Soc.) 160 57 If k = m, the corresponding locus is a point; if k < m the locus is a k-fold, or (m − k)dimensional omaloid; the expression omaloid used absolutely denotes the onefold or (m − 1)dimensional omaloid.

1907 Smith College Monthly Nov. 90 Where the measure of curvature of space is zero that space conforms to Euclid's axioms and is a homaloid or surface in contrast to..curved spaces.

1955 Amer. Math. Monthly 62 532 The base of the web of homoloids consists of two twisted cubics.

2005 Chaos, Solitons & Fractals 25 517 All these lines are double..on a generic homaloid of the inverse web.

1876 Mind 1 310 Now whenever the value of this measure of curvature in any space is everywhere zero, that space everywhere conforms to the axioms of Euclid; and it may be called a flat (homaloid) space in contradistinction to other spaces.

1879 Q. Jrnl. Pure & Appl. Math. 16 155 In space of four dimensions let a homaloid three-dimensional solid be taken touching an ellipsoid at A.

1919 Proc. Royal Soc. A. 96 355 The Minkowski four-fold continuum of space and time..may be conceived as a flat or homaloid locus in our present auxiliary five-fold continuum.