Contents List:PreparationProcedure Music of the Spheres Beelzebub's Tales to His Grandson The Law of Falling Newtonian Gravitation Detachment from Earth Love Cosmology |
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Then contemplate the nature of the Universe with the aid of the following references.
"The centres of all suns and of all the planets of our Universe are just such points of "stability". They are the lowest points of those regions of space upon which forces from all directions of the given part of the Universe definitely tend and where they are concentrated. In these points there is also concentrated the equilibrium which enables suns and planets to maintain their position.
Everything dropped into space, wherever it may be, tends to fall on one or another sun or on one or another planet, according to which sun or planet the part of space where the object is dropped belongs, each sun or planet being for the given sphere the "stability" or bottom."
"The law of universal gravitation was stated by Newton in his book, Philosophiae Naturalis Principia Mathematica, which was published in London in 1687. From the beginning, this law received two formulations, one scientific and the other popular.
"The scientific formulation is:
" 'There are observed phenomena between two bodies in space which can be described by presuming that two bodies attract one another with a force directly proportional to the product of their masses and inversely proportional to the square of the distance separating them.'
"The popular formulation is:
" 'Two bodies attract one another with a force directly proportional to the product of their masses and inversely proportional to the square of the distance separating them.'
"In this second formulation the fact is entirely forgotten that the force of attraction is merely a fictitious quantity accepted only for a convenient description of phenomena. The force of attraction is regarded as really existing both between the Sun and the Earth and between the Earth and a falling stone.
"Prof. Chwolson writes in his Text-book of Physics:
" 'The tremendous development of celestial mechanics, entirely based on the law of universal gravitation taken as a fact, made scientists forget the purely descriptive character of this law and see in it the final formulation of an actually existent physical phenomenon.'
"What is important in Newton's law is that it gives a very simple mathematical formulation which can be applied throughout the Universe and on the basis of which it is possible to calculate all movements, in particular the movements of celestial bodies, with astonishing accuracy. Newton certainly never established it as a fact that bodies are actually attracted by one another, nor did he establish why they are attracted or through the mediation of what."
"That ye, being rooted and grounded in love, may be able to comprehend with all saints what is the breadth and length and depth and height; and to know the love of Christ, which passeth knowledge, that ye may be filled with all the fulness of God."
The introduction of this Exercise need not inhibit the continued practice of Exercises 1 and 2.