In this research, based on new facts discovered in the 21st century about the Wasan,, an attempt to try to try and fix the wrongly understood parts and to improve the understanding of Wasan through newly known facts. From the viewpoint of the researcher, I will also present examples of Ford Circles as well as the Kyokugyo-Jutsu that has not yet been introduced in Korea. In recent years, the major trend in research on the Wasan can be said to be an investigation of the mathematical facts by mathematicians and the theory of the Christian origin of early Wasan. The mathematically exaggerated and wrongly evaluated contents are correctly positioned　by the former., especially the contents concerning the determinant and the resultant by Seki Takakazu, which are newly in the spotlight and have been reevaluated. The publication of various books which interpreted books of Wasan as modern mathematics has become popular. It seems that the theory of Christian origin of the latter is calm to a certain extent. Therefore, the possibility of transition to the study of how early Wasan was influenced by Western mathematics has increased. There is a case where the book of Wasan does not present a proof, and the detailed proof is not written in the book which is described in the original book. Such a tendency is the biggest factor which can be said to contribute to a lack of attention to mathematical logic. However, on the contrary, it can be said that such mathematical ambiguity could be a power that could produce many aged researchers at that time.