源自数论的新理论解决计量领域百年困惑发现教材中的不足

The New Theory Derived from the Number Theory Solves the Perplexity in the Field of Measurement for a Hundred Years and Finds the Shortcomings in the Teaching Materials

摘要: 游标万能角度尺出现已经有一百多年的历史，其刻线原理还没有公认的理论依据，此原理是否恒成立少数人对此还有疑问，在已授权的专利中，由于不认可游标万能角度尺的原理，还存在问题，这里分析了其中的原因。这里的新理论证明了游标卡尺的原理、游标万能角度尺的原理都是新理论的一种特例，新理论还发现了教材中步进电机的步距角计算公式存在不足，并给出了新公式。

Abstract: Vernier universal angle ruler has a history of more than a hundred years, and its engraving prin-ciple has not yet been recognized as a theoretical basis. A small number of people are still ques-tionable whether this principle holds forever. Because the principle of the vernier universal angle ruler is not recognized, there are still problems in the licensed patent. And the reasons are analyzed in this paper. The new theory in this paper proves that the principle of vernier caliper and the principle of vernier universal angle ruler are special cases of the new theory. The new theory finds that the calculation formula of step angle of stepper motor in teaching materials is insufficient, and a new formula is given.