Searching Rudolf Steiner Lectures by GA number (GA0323) Matches
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 Title: Astronomy Course: Lecture III
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 describe this contrast truly as a law of Nature. The
 find laws of growth belonging to the outer physical body.
 on this account was he able to draw up his three famous Laws
 For modern Astronomy the three famous Laws of Kepler are
 was not the case. Let us now call to mind these Laws of
 The First Law:
 The Second Law:
 The Third Law:
 quantitative view these laws too are purely quantitative To
 The third Law above all relates to the
 planets. This Law assumes a more complicated form. “The
 the mean distance from the central body). This Law, you see,
 Kepler's living way. Newton then killed the law. He did
 this in a very simple fashion. Take Kepler's Third Law.
 expressed by one half of Newton's Law, and on the other
 Law. You need only write Kepler's Law thus differently
 distances.” Here then you have the Newtonian Law of
 Gravity deduced from the Law of Kepler. The force of
 Law. In principle that is what it is.
 of view. Notice that Kepler's first Law also has
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 Title: Astronomy Course: Lecture IV
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 his third Law, quoted yesterday — it must be said that
 this ‘law’ as we call it, or better, this
 in ellipses according to a certain law, namely: the
 Kepler's third law: ‘For different planets the
 law that the radius — vectors describe equal areas in
 Kepler's Third Law, the ratios of these periods cannot
 Kepler's third Law) that the planetary system owes its
 some inherent law, similar to the laws underlying geometrical
 laws are developed, — laws which are not obtained from
 external facts, as for example are Kepler's Laws, but
 inductive laws, developed within Mathematics. They
 Such laws are
 mathematical research. One of the laws in question is termed
 the Commutative Law. It can be expressed in saying:
 the realm of real numbers: But it is merely an inductive law
 law is the Associative Law. It is expressed as
 (a + b) + c = a + (b + c). Again this is a law, simply derived
 the socalled Distributive Law, expressible in the
 form: a (b + c) = ab + ac. Once more, it is a law obtained
 law may be expressed as follows: ‘A product
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 Title: Astronomy Course: Lecture V
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 of biogenetic law, which states, as you know, that the
 ordered according to its own laws, and we ourselves bring
 ‘natural law’, the amount of law you can bring in
 of the laws of perception. The physiology of the senses and
 through such laws. Suppose we watch a railwaytrain traveling
 picture; it remains for us as devoid of law as do the
 biogenetic law or of developmental mechanisms. Amplification
 Title: Astronomy Course: Lecture VI
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 other realms. Indeed our study of Kepler's Laws and all that
 Title: Astronomy Course: Lecture VIII
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 mathematical and geometrical laws — they arrived at an
 had a feeling that in the courses of the planets laws of
 phenomena as an embodiment of normal laws of Nature, and to
 these normal laws. There were times — though not the
 laws of Nature. And even Hegel did not quite escape this
 mood of soul. We spoke of his three Laws — a work of
 accessible in his time. Kepler arrived at his Laws out of a
 harmony. He felt has three planetary Laws as a last
 Title: Astronomy Course: Lecture X
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 laws we seek in Nature; and you will agree that we are
 Nature back to the laws of the mineral domain. After all, it
 laws of the mineral realm. Precisely this betrays a vague
 mechanical laws, — omitting phases of vibration and so
 study them simply according to the laws of centric forces,
 but that we must regard them in the light of laws which are
 related to the laws of centric forces as is the sphere to the
 mechanics in the development of the laws of centric forces;
 Title: Astronomy Course: Lecture XII
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 orbits. For as you know from Kepler's Second Law, an
 Title: Astronomy Course: Lecture XV
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 constructions by the laws of reflection and so on, will not
 Title: Astronomy Course: Lecture XVI
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 indicate the underlying law. A careful study of these
 — will be indicative of the true laws in the domain.
 Title: Astronomy Course: Lecture XVII
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 dint of purely natural laws and it will one day reach its
 Title: Astronomy Course: Lecture XVIII
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 laws. See then what form is taken by the same type or
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