The Principle of Relativity with Applications to Physical Science by Whitehead Alfred North;

Author:Whitehead, Alfred North; [North Whitehead, Alfred]
Language: eng
Format: epub
ISBN: 1919760
Publisher: Dover Publications
Published: 2012-10-15T16:00:00+00:00

(1).

Let a rectangular Cartesian system of coordinates in the permanent space of the ‘x’ time-system be (x1, x2, x3) and let the lapse of x-time since zero time be x4. Thus (x1, x2, x3, x4) are the four coordinates of an event-particle, which we will name X. Also in the ‘y’ time-system, we denote analogously a permanent point by the Cartesian coordinates (y1, y2, y3) and a lapse of y-time by y4. Let (y1, y2, y3, y4) and (x1, x2, x3, x4) denote the same event-particle.

Then [cf. The Principles of Natural Knowledge, Ch. XIII] the relations between the two systems of coordinates, the ‘x’ system and the ‘y’ system, are of the form

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