The Notebooks of Leonardo Da Vinci — Complete by Leonardo da Vinci
page 43 of 1059 (04%)
page 43 of 1059 (04%)
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the junction of two lines in a point.
43. A point is not part of a line. 44. OF THE NATURAL POINT. The smallest natural point is larger than all mathematical points, and this is proved because the natural point has continuity, and any thing that is continuous is infinitely divisible; but the mathematical point is indivisible because it has no size. [Footnote: This definition was inserted by Leonardo on a MS. copy on parchment of the well-known _"Trattato d'Architettura civile e militare"_ &c. by FRANCESCO DI GIORGIO; opposite a passage where the author says: _'In prima he da sapere che punto e quella parie della quale he nulla--Linia he luncheza senza apieza; &c.] 45. 1, The superficies is a limitation of the body. 2, and the limitation of a body is no part of that body. 4, and the limitation of one body is that which begins another. 3, that which is not part of any body is nothing. Nothing is that which fills no space. If one single point placed in a circle may be the starting point of an infinite number of lines, and the termination of an infinite |
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