A new hypoid gearing using a common crown rack is introduced. The proposed hypoid gear has no unloaded gear transmission error. The common crown rack is located at a neutral position between the pinion and gear blanks. An arbitrary generating surface inclined at a pressure angle is prescribed. The proposed hypoid gearing is in point contact, fulfilling a constant speed ratio along the curved line of action. The synthesis feasibility is numerically verified for the entire range of hypoid gears, including parallel-, intersecting-, and crossed-axis gear systems. The proposed hypoid gear is compared with the hypoid gear by Gleason method and the differences between the two are discussed.

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