Elementary theorems relating to the geometry of a space of three dimensions and of uniform positive curvature in the fourth dimension.
Equidecomposability and discrepancy; a solution of Tarski's circle-squaring problem
Equidecomposability of Polyhedra with Reference to Crystallographic Groups.
Equiform kinematics and the geometry of line elements.
Equilateral triangles and continuous curves
Errata to the paper "Relations on lines as primitive notions for Euclidean geometry", Fundamenta Mathematicae 82 (1975), pp. 347-355
Espaces twistoriels et structures complexes non standards
Étude d'un complexe du second ordre
Euclidean superpythagorean geometry.
Exkurze do světa vyšší dimenze
Trojrozměrný svět je pro nás tak přirozený, že si lze jen obtížně představit a popsat vesmír ve čtyřech nebo více dimenzích. Pojďme společně poodhalit závoj tohoto tajemství a prozkoumat vlastnosti vícerozměrných analogií krychle a koule.
Exterior Algebra and Projections of Polytopes.
Exterior parallelism for polyhedra.
Extremal problems for conditioned brownian motion and the hyperbolic metric
This paper investigates isoperimetric-type inequalities for conditioned Brownian motion and their generalizations in terms of the hyperbolic metric. In particular, a generalization of an inequality of P. Griffin, T. McConnell and G. Verchota, concerning extremals for the lifetime of conditioned Brownian motion in simply connected domains, is proved. The corresponding lower bound inequality is formulated in various equivalent forms and a special case of these is proved.
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.
Five spheres in mutual contact.
Fixed points of rotations of -sphere.
Flächengleichheit und Cavalierische Gleichheit von Dreiecken.
Folding the Circle as Both Whole and Part