The Notebooks of Leonardo Da Vinci

Contents:
Author: Leonardo da Vinci

47.
DEFINITION OF THE NATURE OF THE LINE.

The line has in itself neither matter nor substance and may rather be called an imaginary idea than a real object; and this being its nature it occupies no space. Therefore an infinite number of lines may be conceived of as intersecting each other at a point, which has no dimensions and is only of the thickness (if thickness it may be called) of one single line.

HOW WE MAY CONCLUDE THAT A SUPERFICIES TERMINATES IN A POINT?

An angular surface is reduced to a point where it terminates in an angle. Or, if the sides of that angle are produced in a straight line, then—beyond that angle—another surface is generated, smaller, or equal to, or larger than the first.

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Chicago: Leonardo da Vinci, "47. Definition of the Nature of the Line.," The Notebooks of Leonardo Da Vinci, trans. Richter, Jean Paul, 1847-1937 in The Notebooks of Leonardo Da Vinci (New York: Dover Publications, Inc., 1970), Original Sources, accessed February 26, 2024, http://www.originalsources.com/Document.aspx?DocID=49PRJ8HAFK1FSFU.

MLA: Vinci, Leonardo da. "47. Definition of the Nature of the Line." The Notebooks of Leonardo Da Vinci, translted by Richter, Jean Paul, 1847-1937, in The Notebooks of Leonardo Da Vinci, New York, Dover Publications, Inc., 1970, Original Sources. 26 Feb. 2024. http://www.originalsources.com/Document.aspx?DocID=49PRJ8HAFK1FSFU.

Harvard: Vinci, LD, '47. Definition of the Nature of the Line.' in The Notebooks of Leonardo Da Vinci, trans. . cited in 1970, The Notebooks of Leonardo Da Vinci, Dover Publications, Inc., New York. Original Sources, retrieved 26 February 2024, from http://www.originalsources.com/Document.aspx?DocID=49PRJ8HAFK1FSFU.