On the Mathematical Method to Express the From of Tea Leaves (Part 1)

概要

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In 1933 two mathematical methods were reported by Mr. Masao WADA by which we can express the curve of leaf margin. The author reexamined one of them. The chief points in Wada's method reexamined in this study can be explained as follows : - In the first place, the length of leaf is measured along the principal vein and expressed in mm. ; secondly the total length is divided into 5 sections and the half width of the leaf from each point of division to the leaf margin is measured, which is expressed in percentage to the length of leaf. Then in order to represent the curve of leaf margin by the formula, y=x(5-x)(ax+b), the constants a and b in the formula are determined by the least square method from the measured values. The a and b in the formula are defined as the form indices. The results of this reexamination can be summarized as follows : - 1. Wada's method is suitable to represent the curve of leaf margin for many kinds of tea varieties. 2. The value of the form index a indicates the widest part of a leaf measured from the principal vein and that of b in the formula has a certain correlation with the degree of roundness of leaf. 3. We can calculate the area of a tea leaf from the form indices and the leaf length.
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