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Serie VI, Nr 1

The wave surface for optical two axial crystal.


Mathematical description
Wave Fresnel's surface. Surface introduced by A. Fresnel in his work on crystal optics. It represents a wave front of light radiating from a point in a crystal. The surface consists of two shells which touch each other in four points. The space between the shells is filled in with plaster. The model is cut along an octant and a half octant to make the inner shell visible. As a complex algebraic surface, it has 16 double points (and is therefore a Kummer surface) 4 of which are real. Also 4 of the 16 double planes are real. The 4 intersections of this plane with the surface are the 4 circles drawn on the model. Surface for optical two-axis crystal.

Title model and translation
Die Wellenfläche für optisch zweiaxige Krystalle. a. Der äussere Mantel (längs eines Hauptschnittes zerlegbar) mit Ausschnitten, die den inneren Mantel zeigen. b. Der innere Mantel.
The wave surface for optical two axial crystal. a. The outside surface (along a basic intersection detachable) with cutouts, which show the internal sheet. b. The internal sheet.

Text on Sticker and translation
Fresnel'sche Wellenfläche.
Fresnel's wave surface.

Dr. Brill
München in 1880

Martin Schilling in Halle a.S.

Original price
Mark 10,50

12-8 cm


Schilling, M., Catalog mathematischer Modelle für den höheren mathematischen Unterricht, Leipzig: Verlag von Martin Schilling, 1911