Abstract
The Articulation Quint proposed by R. Hanau has been used as a guiding principle of artificial teeth arrangement for providing complete dentures with full balanced occlusion. The quantitative relationship among its five factors, has yet to be clarified, however. Under full balanced occlusion, any facet of a given tooth has the same inclination as the gliding movement of its opposing member, suggesting that tooth movement is a main parameter for describing the afore-mentioned relations. We thus introduced an equation describing protrusive movement of the articulator, and then investigated the direction of this movement on the articulator, yielding the following results: 1) the direction of the movement changes in proportion to the horizontal position of the tooth; 2) vertical changes in tooth position have little influence on movement direction. From these results, we derived a linear equation approximately describing the functional relationship among the five factors involved in the Articulation Quint, which can be considered to be a quantitative expression of Thielemann's formula.
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