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我校初中部在進行梯形作圖教學的時候,同學們提出了一個問題:“已知梯形的二對角线和不平行的二邊怎樣作梯形?”大家醞釀的結果,初等作法仍未發現,現在我把應用著名的秦九韶三斜求積公式通過代數解析法的作法寫出來,讚者如有簡捷的初等作法,希提出參考。 關於秦九韶三斜求積公式的介紹文件,散見各書報雜誌,在許莼舫著的中算家的幾何學研究中曾假定了一種比較合理的證明,讀者可參考。 這個題目在幾何學辭典(薛德炯吳載耀譯
When the junior middle school of our school was teaching trapezoidal drawing, the students asked a question: “How do the trapezoids with two diagonal lines and two non-parallel sides are trapezoids?” The result of the brewing, the elementary practice has not been discovered yet. Now, I have used the well-known Qin Jiulu triple-oblique quadrature formula to write it out through algebraic analytic methods. If there is a simple and straightforward method of approval, I would like to refer to it. With regard to the introduction of Qin Jiulu’s triclinical quadrature formula, he has seen various newspapers and magazines. He had assumed a reasonable proof in the geometry study of Xu Yuan’s middle class writer. The reader may refer to it. This topic is in the Dictionary of Geometry