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The isotomic transform of a geometric object is the object obtained by collectively taking the isotomic conjugates of all its points.

A line in the complex plane with slope +/-i. An isotropic line passes through either of the circular points at infinity. Isotropic lines are perpendicular to themselves.

Given a convex plane region with area A and perimeter p, then |N-A|<p, where N is the number of enclosed lattice points.

The Kiepert hyperbola is a hyperbola and triangle conic that is related to the solution of Lemoine's problem and its generalization to isosceles triangles constructed on the ...

The Labs septic is a septic surface having 99 ordinary double points, which is the maximum number known for any septic surface.

Coefficients which appear in Lagrange interpolating polynomials where the points are equally spaced along the abscissa.

Lemoine geometry is that part of triangle geometry concerned with symmedians and symmedian points.

The Leonine triangle DeltaX_AX_BX_C (a term coined here for the first time), is the Cevian triangle of Kimberling center X_(598). It is the polar triangle of the Lemoine ...

Also known as the first fundamental form, ds^2=g_(ab)dx^adx^b. In the principal axis frame for three dimensions, ds^2=g_(11)(dx^1)^2+g_(22)(dx^2)^2+g_(33)(dx^3)^2. At ...

If a sphere is covered by three closed sets, then one of them must contain a pair of antipodal points.