The theory of unary gears

Abstract

This work presents at the beginning the fundamental gear theorem (Willi’s theorem) for the case where the gearing pole (pitch point) is situated at infinity. In this situation, the possibility of a new gear type, the unary gear, is a result. The name is supported by the fact that these gears are the only gear types, which present a transmission ratio of +1. In other words, the gears rotate with the same speed, in the same direction, not only in the interior but also in the exterior gearing!