算額の数学史・文化史的な調査・研究とその科学教育への活用について

我们研究的目的是破译中国文献中日本历史数学专著和书籍中的问题和技术语句，考察其在数学史和文化史上的意义，探讨数学(特别是几何)问题的解决方法，并计划将我们的研究应用到数学和科学教育中。在1998学年(平成10学年)我们的科研被批准资助前后，在“圆形倒置”、“三个内接圆它是一个矩形三角形”、“每个分段三角形中都有等半径内接圆”的研究上取得了进展。就前两个主题发表了三篇论文，但不是最后一个主题。其他问题，如阿岛直野部给出的“长方形椭圆圆”、“盒子里的椭球体”、“第五个问题”等等，都得到了研究。1998年在福冈举行的第三届国际东方天文学会议上，我发表了一篇海报论文。针对我们主题的最后一部分：“对科学教育的利用”，我在天文教科书中提到了莫上藤井在土地调查和地球经纬度方面所献给的牌位。2000年12月，作为我们的研究成果，我将数学牌位献给了Hyougo县的高谷神社。我希望高中生和大学生以及所有的人都会对日本历史数学这一宝贵的文化遗产感兴趣。

The purpose of our researches are decoding problems and technical sentences in dedicated tablets and in books of Japanese historical mathematics written in Chinese literature, investigating the significance in mathematical history and in caltural history, inquiring into the solution of mathematic (especially geometric) problems, and moreover, planning to utilize our research to the education in mathematics and science.Before and after our scientific research was adopted to Grant-in-Aid in the academic year 1998 (Heisei 10), progress was made in researches "circular inversion", "three inscribed circles it a rectangular triangle", and "equi-radius inscribed circles in each segmental triangle". Three papers were published on the former two themes, but not the last theme. The other problems, like "ellipse and circle inscribed in a rectangle" given by Naonobu Ajima, "a spheroid inscribed in a box", and "the fifth problem dedicated to Oishiko Shrine", and so on, were investigated. Poster paper were presented at Third International Conference on Oriental Astronomy held at Fukuoka 1998.Concerning to the last part in ours subject : "utilization to science education", I mentioned to the tablet dedicated by Mogami Tokunai in connection with land survey and longitude-latitude of the Earth in my textbook on astrnomy.In December 2000, I dedicated mathematical tablet to Takasago Shrine in Hyougo prefecture as the outcome of our research. I hope that high school and college student and also all people will be interested in Japanese historical mathematics as the precious cultural inheritance.