Factor-group-generated polar spaces and (multi-)qudits.
Families of nets of low and medium strength.
Fastgeordnete affine lokale Ternärringe und pregeordnete Biternärringe
Fastgeordnete und geordnete affine Klingenbergsche Ebenen
Fastgeordnete und geordnete lokale Ringe und ihre geometrische Anwendung
Fermat’s method of quadrature
The Treatise on Quadratureof Fermat (c. 1659), besides containing the first known proof of the computation of the area under a higher parabola, , or under a higher hyperbola, —with the appropriate limits of integration in each case—has a second part which was mostly unnoticed by Fermat’s contemporaries. This second part of theTreatise is obscure and difficult to read. In it Fermat reduced the quadrature of a great number of algebraic curves in implicit form to the quadrature of known curves: the...
Finding an ellipse tangent to finitely many given lines.
Finding ellipses and hyperbolas tangent to two, three, or four given lines.
Finite Bolyai-Lobatchevsky k-spaces
Finite C3 Geometries in Which All Lines Are Thin.
Finite geometries, varieties and codes.
Finite geometry for a generation.
Finite linear spaces with two more lines than points.
Finite line-transitive linear spaces: Parameters and normal point-partitions.
Finite projective planes, Fermat curves, and Gaussian periods
One of the oldest and most fundamental problems in the theory of finite projective planes is to classify those having a group which acts transitively on the incident point-line pairs (flags). The conjecture is that the only ones are the Desarguesian projective planes (over a finite field). In this paper, we show that non-Desarguesian finite flag-transitive projective planes exist if and only if certain Fermat surfaces have no nontrivial rational points, and formulate several other equivalences involving...
Finite spherical geometries
Finite translation planes, an exposition.
Five spheres in mutual contact.
Fixed points of rotations of -sphere.
Flächengleichheit und Cavalierische Gleichheit von Dreiecken.