The Brunardot Theorem

[Epsilon=One]

The Brunardot Theorem (BT)

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The Brunardot Theorem (BT)

c² = 2v² – s²

A corollary of the Brunardot Theorem is the Inverse Square Law (www.101123.com/ISL).

The Brunardot Theorem (BT) defines every ellipse and demonstrates that the vector, "v," is a salient structural part of all ellipses. The vector, "v," is a line from a focus to the end of the minor diameter that is equal to one-half the major diameter, M.” It is the vector which is defined by the Pulsoid Theorem, v = εP² (www.101123.com/eP2), which defines every elliptical shape as a Conceptual Ellipse (www.101123.com/CE) (CE).

The diameter chord, "c," is a line between an end of the major diameter, “M,” and an end of the minor diameter, “m.” The soliton, "s," is half the distance between the foci.

The Elliptical Constant (www.101123.com/EC) is a corollary of the Brunardot Theorem, as the Elliptical Constant (www.101123.com/EC) is a constant for every elliptical shape that is defined by the Brunardot Theorem, c² = 2v² –s².

The Elliptical Constant (www.101123.com/EC) is the Rosetta Stone for rationalizing all fundamental phenomena, which phenomena evolves to all that exists; and, therefore, said Elliptical Constant (www.101123.com/EC) is the root of all Knowledge and Wisdom; and, with such understanding: Science, Theology, and Philosophy are united (www.101123.com/STP).

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[ste]

How does Brunardot Theorem "define" an ellipse? It describes the relationship between structural parts that occur in an ellipse, but not the curve of the ellipse.

[Epsilon=One]

How does Brunardot Theorem "define" an ellipse? It describes the relationship between structural parts that occur in an ellipse, but not the curve of the ellipse.Every ellipse has the relationship of the Brunardot Theorem (BT).

One method of defining the curve is the intersection of vector, "v," and chord, "c," define a point on the curve; just as, the sum of the lines from the foci determine the locus of the ellipse by defining a point on the elliptical curve.

The BT is no different; in manner of the standard elliptical equation,
(x - h)2 / a2 + (y - k)2 / b2 = 1; for defining a curve, except simplified.

For every value of any of the terms of the Brunardot Theorem (BT), when you solve for the other two values, an ellipse is defined. (Note: that the major diameter, "M," must equal 2 times "v.")

The significance of the BT is that the chord, "c," and the vector, "v," establish structural parts that are significant in the "packing" of quanta that are ellipsoidal.

I have never been able to find the BT in any of the literature; thus, it is considered as original; and, so named.

Arguably, Pulsoid Theory (www.CQthus.com/PT/PTis) and all mathematics are corollaries of: c² = 2v² – s².

[ste]

How does Brunardot Theorem define logarithmic and exponential functions? Differentiation/Integration? Complex numbers? Factorials? nth Root? All the circle theorems, triangle theorems and other euclidean geometry? (to name a few)

[Epsilon=One]

How does Brunardot Theorem define logarithmic and exponential functions? Differentiation/Integration? Complex numbers? Factorials? nth Root? All the circle theorems, triangle theorems and other euclidean geometry? (to name a few)All mathematics is dependent upon Nature. It is Nature that creates the ellipsoid that the Brunardot Theorem (BT) describes.

All mentioned functions, etc. are fundamentally dependent for their proofs upon completing Gödel's Incompleteness Theorem (www.CQthus.com/PT/GIT) (GIT), which depends upon the Proof of One (www.CQthus.com/PT/PoO) (PoO), that is, naturally, dependent upon the Conceptual Unit (www.CQthus.com/PT/CU) (CU), that is heuristically described by the Elliptical Constant (www.CQthus.com/PT/EC) (EC) that is a corollaary of the Brunardot Theorem (BT).

[ste]

The Brunardot Theorem demonstrates why there is an Inverse Square Law.
How does the Brunardot Theorem show why there is an Inverse Square Law?

[Epsilon=One]

How does the Brunardot Theorem show why there is an Inverse Square Law?Succinctly: the Brunardot Theorem, c² = 2v² – s², describes the ellipsoid.

The emergence of the Emergent Ellipsoid (www.EmergentEllipse.com) is in accordance with the Inverse Square Law (ISL). Said Emergent Ellipsoid heuristically describes the seminal quantum.