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The Portion Of Book I Of The Elements Missing From Ms Leiden 399.1 But Present In Ms Qom 5365, According To The Edition Of Rüdiger Arnzen

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Chapter Summary

Simplicius said: Since Euclid, by his statement, "that which is equal to what is between any two points", meant the distance that is between the two endpoints, therefore, if one can fix the two points that are the extremities of the line, and take the distance that is between the two of them as if it were a line, even if there is no line between the two of them, that distance will be equal to the straight line which the two points terminate. And as for Plato, lo, he defined the straight line by saying, "The straight line is one whose middle conceals its two ends,"L4 for if one [should place your eye] on one of its two extremities, and should want to look at the other extremity, then the middle point would conceal that from their view.

Keywords: Euclid; Simplicius; straight line



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    The Commentary of al-Nayrizi on Books II-IV of Euclid's <i>Elements of Geometry</i> — Recommend this title to your library
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