国内文献及有关书籍中有的只对齿条刀具切制这一特殊情况进行了证明，而用齿轮刀具切制的普遍情况的证明是不严密的。
Some domestic textbooks only give proofs under special condition of rack cutters and proofs under general condition of gear cutter are not strict enough.
通过数学推导，证明了该刀具在切削工况下符合齿轮啮合原理，可切制出满足设计要求的齿轮。
With the mathematic derivation it is proved that the cutter meets the specification of the gear meshing under the cutting condition and can correctly shape gears that can meet the design requirement.
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