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Euclid: Elementa

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Euclid: Elementa
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3. A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the less.
lat Clavius
No Latin
kin 幾何原本 p. 278-279
第三界
理分中末線者。一線兩分之。其全與大分之比例。若大分與小分之比例。(p. 二七九)
甲乙線。兩分之於丙。而甲乙與大分甲丙之比例。若大分甲丙與小分丙乙。此為理分中末線。其分法。見本卷三十題。而與二卷十一題理同名異。此線為用甚廣、至量體。尤所必須。十三卷諸題多賴之。古人目為神分線也。
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