To the isotropic generalization of Wallace lines.

Tölke, Jürgen

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An invariance property of the tridens curve in the isotropic plane.

Tölke, Jürgen (2003)

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Some Properties of the Sorgenfrey Line and the Sorgenfrey Plane

Adam St. Arnaud, Piotr Rudnicki (2013)

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We first provide a modified version of the proof in [3] that the Sorgenfrey line is T1. Here, we prove that it is in fact T2, a stronger result. Next, we prove that all subspaces of ℝ1 (that is the real line with the usual topology) are Lindel¨of. We utilize this result in the proof that the Sorgenfrey line is Lindel¨of, which is based on the proof found in [8]. Next, we construct the Sorgenfrey plane, as the product topology of the Sorgenfrey line and itself. We prove that the Sorgenfrey...

The envelope of the Wallace-Simpson lines of a triangle. A simple proof of the Steiner problem on the deltoid.

Miguel de Guzmán (2001)

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A simple proof is presented of a famous, and difficult, theorem by Jakob Steiner. By means of a straightforward transformation of the triangle, the proof of the theorem is reduced to the case of the equilateral triangle. Several relations of the Steiner deltoid with the Feuerbach circle and the Morley triangle appear then as obvious.

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H. S. Ruse (1935)

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Jaroslav Lettrich (1993)

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