For centuries, the history of knowledge was usually represented in biography and verbal composition in Chinese historiography. We may find a scholar's biographies (Rulin(儒林傳) or The Scholars) in every official history. Chinese scholars looked upon the schools of a specific knowledge so heavily just through Rulin, so people could not get a clear picture easily. But if we added some diagrams, we may have a workable solution for the above problem. For this reason, a new history of knowledge emerged in Song dynasty. Scholars began to use diagrams, usually called shoujingtu(授經圖) to study traditional knowledge. As times goes by, this kind of diagrams became more sophisticated and its highest form was chuanjinbiao(傳經表). In this article I am going to discuss there were two main arguments on the systems of Gongyang(公羊) Studies, and how those diagrams represent such arguments and their characters, influences, and developments.