The Geometria Culmensis was written around 1400 and is one of the first known mathematical treatises in German. A textbook on land surveying, it not only uses the Hindu‐Arabic numerals throughout the text but also frequently refers to the most influential treatise on these new numbers, the Algorism. Roughly a hundred years before the first German arithmetic books, the Geometria Culmensis tries to educate laymen on the techniques found in the Algorism. This leads to some pertinent questions: How early did the Hindu‐Arabic numerals spread through the vernacular milieu in German‐speaking countries? How important was a mathematical education outside of a scholarly environment (the text refers to the necessity of teaching laymen how to measure and calculate correctly)? What does this early German mathematical language look like, knowing that the author of the Geometria Culmensis had no template from which to copy?

中文翻译：

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“ Als der algoriſmus ſpricht…” –哥伦布省几何学的印地语-阿拉伯语的Zahlen和der Algorismus

该Geometria Culmensis写1400左右，是德国第一个已知的数学专着之一。一本有关土地测量的教科书，它不仅在整个文本中使用了印度－阿拉伯数字，而且还经常提及对这些新数字最具影响力的论文，即“算法”。在第一本德国算术书籍问世大约一百年之前，Geometria Culmensis试图对通俗易懂的人进行算法学习。这就引出了一些相关的问题：在德语国家中，印度－阿拉伯数字最早传播到白话环境中了吗？在学术环境之外的数学教育有多重要（本文指的是教给外行人正确测量和计算的必要性）？知道Geometria Culmensis的作者没有要复制的模板，这门早期的德国数学语言是什么样子？