Thoughts On Our Conceptions of Physical Law

Cover Thoughts On Our Conceptions of Physical Law
Thoughts On Our Conceptions of Physical Law
Francis E Francis Eugene Nipher
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Finally the lines might seem to be parallel, but perhaps if we were to travel along the lines for a million of miles, we might come to the point of intersection. The mathematicians say, that when the lines have become parallel, the point of intersection will be removed to an infinite distance, which is, they say, equivalent to saying that the lines will not intersect. Where in space will these lines part company ? Have they ends, which the point of intersection finally reaches, and which then s...eparate from each other? No ! The lines are supposed to be without end. However far the point of inter- section may have travelled, we may straightway regard this distance, as repre- sented by the first term of a divergent series of an infinite number of terms, each term of which is infinitely greater than the one which preceded it. We can form an independent conception of two infinite and absolutely parallel lines, but we cannot imagine how the infinite prolongations of intersecting lines can ever separate; nevertheless, we can continue the rotation of our finite line, until it passes through parallelism, and the point or at least a point of intersection comes travelling towards us from the opposite direction.

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