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## Sentence Examples

**Nearly** **Epicycloidal** **Teeth**: **Williss** **Method**.**To** **facilitate** **the** **drawing** **of** **epicycloidal** **teeth** **in** **practice**, **Willis** **showed** **how** **to** **approximate** **to** **their** **figure** **by** **means** **of** **two** **circular** **arcsone** **concave**, **for** **the** **flank**, **and** **the** **other** **convex**, **for** **the** **faceand** **each** **having** **for** **its** **radius** **the** **mean** **radius** **of** **curvature** **of** **the** **epicycloidal** **arc**. \**Villiss** **formulae** **are** **founded** **on** **the** **following** **properties** **of** **epicycloids** **Let** **R** **be** **the** **radius** **of** **the** **pitch-circle**; **r** **that** **of** **the** **describing** **circle**; 8 **the** **angle** **made** **by** **the** **normal** **TI** **to** **the** **epicycloid** **at** **a** **given** **point** **T**, **with** **a** **tangent-to** **the** **circle** **at** **Ithat** **is**, **the** **obliquity** **of** **the** **action** **at** **T**.

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