The Origin And Economy of Energy in the Universe

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Our third correspondence, on the other hand, not only strengthens the conclusion drawn from the pre- ceding two, but, in addition to this, definitely and -most decisively points to the real source: not only to a source, but to the source, as will presently appear. And THE EARTH. 26 1 therefore, I consider the third correspondence the most important of the three.
21. Proposition xiv. Of Book iv. States that "the amounts of heat developed per unit of time in a planet revolving around the sun in a
...n elliptical orbit, in dif- ferent parts of the orbit are inversely proportional to the cubes of the radii vectors of these parts. " This proposition is, in fact, only a necessary corol- lary from propositions IX, X XI, XII and XIII.
Now the cause we assign for the earth's central heat, as stated in Art. 3 of this section, is nothing else but a certain necessary law of nature embodied and ex-- pressed in propositions IX-XIII of Book IV.
Therefore, if the cause assigned be the real and true cause, the amount of heat developed in every unit of mass of the earth's substance per unit of time ought to vary in accordance with proposition XIV; that is to say, it ought to be the most with the least radius vector, of the earth's orbit, and vice versa; that is to say, that the amount of heat developed in the earth's substance for any given time ought to be more when the earth is at or near its perihelion than when it is at or near its aphelion.


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