In researches in which an infinity of directions of straight lines in space is concerned, it is advantageous to represent these directions by means o… - Carl Friedrich Gauss

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In researches in which an infinity of directions of straight lines in space is concerned, it is advantageous to represent these directions by means of those points upon a fixed sphere, which are the end points of the radii drawn parallel to the lines. The centre and the radius of this auxiliary sphere are here quite arbitrary. The radius may be taken equal to unity. This procedure agrees fundamentally with that which is constantly employed in astronomy, where all directions are referred to a fictitious celestial sphere of infinite radius. Spherical trigonometry and certain other theorems, to which the author has added a new one of frequent application, then serve for the solution of the problems which the comparison of the various directions involved can present.

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About Carl Friedrich Gauss

Johann Carl Friedrich Gauss (30 April 1777 – 23 February 1855) was a German mathematician, astronomer and physicist.

Biography information from Wikiquote

Also Known As

Native Name: Johann Carl Friedrich Gauß
Alternative Names: Johann Carl Friedrich Gauss Karl Gauss C. F. Gauss Carl Friedrich Gauß Gauß, Carl Friedrich Gauss
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Additional quotes by Carl Friedrich Gauss

That this subject [of ] has hitherto been considered from the wrong point of view and surrounded by a mysterious obscurity, is to be attributed largely to an ill-adapted notation. If for instance, +1, -1, √-1 had been called direct, inverse, and lateral units, instead of positive, negative, and imaginary (or even impossible) such an obscurity would have been out of question.

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