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A nonuniform rational B-spline surface of degree (p,q) is defined by ...

Given the center of a circle, divide the circle into four equal arcs using a compass alone (a Mascheroni construction).

A curve also known as swan-like curve or streamline. It is given by the polar equation r=atheta+b, where a>0.

If each of two nonparallel transversals with nonminimal directions meets a given curve in finite points only, then the ratio of products of the distances from the two sets of ...

If two curves phi and psi of multiplicities r_i!=0 and s_i!=0 have only ordinary points or ordinary singular points and cusps in common, then every curve which has at least ...

An extremely powerful theorem in physics which states that each symmetry of a system leads to a physically conserved quantity. Symmetry under translation corresponds to ...

Any irreducible curve may be carried by a factorable Cremona transformation into one with none but ordinary singular points.

"Nordstrand's weird surface" is an attractive quartic surface given by the implicit equation It has 11 ordinary double points located at (2/5,0,0), (-2/5,0,0), ...

g_(ij)=[0 1 0 0; 1 0 0 0; 0 0 0 -1; 0 0 -1 0]. It can be expressed as g_(ab)=l_an_b+l_bn_a-m_am^__b-m_bm^__a.

An angle greater than pi/2 radians (90 degrees) and less than pi radians (180 degrees).