著者

山本 文隆

出版者

全国数学教育学会

雑誌

数学教育学研究 : 全国数学教育学会誌 (ISSN:13412620)

巻号頁・発行日

vol.19, no.1, pp.1-8, 2013

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<p> The area of the Pythagoras triangle is the sum of area of the Pythagoras triangle that is smaller than it except some exceptions. The exception is the case of M=2N (M,N is an independent variable of the solutions of Euclid).</p><p> Furthermore, these relations are expressed as the sequence and constructed in the Fibonacci series Next, the Pythagoras number is distributed on various parabolas group on the coordinate which assume two axes into two sides sandwiching the right angle. The degree of leaning of the axis of symmetry of the parabola group is 0 in case of the basic formula (Euclid solution) of the Pythagoras number. In addition, it is 0 and ∞ in case of "the unit formula"of sum of area. Furthermore, the axial degree of leaning converges to 2 at an early stage in case of "the general formula".</p>