ontology of phenomenological velocity © parker emmerson 2009-2011

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Ontology of Phenomenological Velocity

Why is the velocity considered phenomenological?

The velocity is considered phenomenological because it comes from manipulation of algebra as a descriptive language for

geometry. Logic and perception (visualization) are interpenetrating ideas. This leads to a phenomenon that could normally go

unseen. However, there is a normative manner in which the phenomenon is present to the conscious perceiver. Through logical

manipulation of algebraic forms, a phenomenon of visualization is brought about in a substitutive adumbrative pattern. Thus, the

studies are phenomenological. In the next paragraphs, I will describe how this is a valid interpretation of physical univocity of

light particles.

From Section Theorem 3 Section 3 and section XIX, we can form the equation :

Solve

r 1 v2

c2

Θ

1v2

c2

4 Π r r Θ

2 Π r SinΒ, v

v

1. 1.12941 1018

Θ 8.98755 1016

Θ2 3.54814 1018

SinΒ2

12.5664 Θ Θ2 39.4784 SinΒ2

,

v 1.12941 10

18Θ 8.98755 10

16Θ2 3.54814 10

18SinΒ2

12.5664 Θ Θ2 39.4784 SinΒ2

Solve

r 1 v2

c2

Θ

1

v2

c2

4 Π r r Θ

2 Π 1

v2

c2 c Θ 2 Π 1

v2

c2, v

v 4 c2 Π r2

4 Π r2 r2 Θ

c2 r2 Θ

4 Π r2 r2 Θ

c6 r2 4 Π Θ Θ

4 Π r2 r2 Θ

,

v 4 c2 Π r2

4 Π r2 r2 Θ

c2 r2 Θ

4 Π r2 r2 Θ

c6 r2 4 Π Θ Θ

4 Π r2 r2 Θ

,

v 4 c2 Π r2

4 Π r2 r2 Θ

c2 r2 Θ

4 Π r2 r2 Θ

4 c6 Π r2 Θ c6 r2 Θ2

4 Π r2 r2 Θ,

v 4 c2 Π r2

4 Π r2 r2 Θ

c2 r2 Θ

4 Π r2 r2 Θ

4 c6 Π r2 Θ c6 r2 Θ2

4 Π r2 r2 Θ

Printed by Mathematica for Students



velocity 4 c2 Π r2

4 Π r2 r2 Θ

c2 r2 Θ

4 Π r2 r2 Θ

4 c6 Π r2 Θ c6 r2 Θ2

4 Π r2 r2 Θ

1.12941 1018

Θ 8.98755 1016

Θ2

3.54814 1018

SinΒ2

12.5664 Θ Θ2

39.4784 SinΒ2

Every variable in the system can be placed in terms of the speed of light and one other variable. From this, when the speed of

light is known, as in a vacuum state, we see that there is a statement that is true but cannot be proven using Euclidean geometry.

That statement is the fact that initial radius is a function of the angle taken out of the initial circle alone when the speed of light is

known. This is obviously not provable via Euclidean geometry, because one could draw a circle any size and take any wedge out

of it by folding. Because one variable in the system is a function of one other variable alone, we find the statement that is true but

cannot be proven, and we must rely on faith. This brings scientific inquiries and method to understanding of the spiritual journey.

Univocity has several different interpretations. One interpretation is how the number one is expressed through pure geometry.

Another meaning is how, when the height of the cone or any other variable in the system is fixed, every other variable in the

system can be placed in terms of one other variable. In this interpretation of univocity, we see the relationship of each variable in

terms of the speed of light and one other variable. For instance, it is shown that r = f(c, Θ ). It is also shown that r = f(c, Β). It is

also shown that, Θ = f(c, r).

Solve 4 c 2 Π r2

4 Π r2 r2 Θ

c2 r2 Θ

4 Π r2 r2 Θ

4 c 6 Π r2 Θ c6 r2 Θ2

4 Π r2 r2 Θ

1.1294090667581471`*^18 Θ 8.987551787368176`*^16 Θ2

3.5481432270250993`*^18 SinΒ2

12.566370614359172` Θ Θ2

39.47841760435743` SinΒ2 , r

2 Ontology of Phenomenological Velocity © Parker Emmerson 2009-2011.nb




Solve 4 c 2 Π r2

4 Π r2 r2 Θ

c2 r2 Θ

4 Π r2 r2 Θ

4 c 6 Π r2 Θ c6 r2 Θ2

4 Π r2 r2 Θ

1.1294090667581471`*^18 Θ 8.987551787368176`*^16 Θ2

3.5481432270250993`*^18 Sin

Β

2

12.566370614359172` Θ Θ

2 39.47841760435743` SinΒ2 , r

r 1. c3Θ 1.62943 10

45Θ

2 3.88997 10

44Θ

3 3.09554 10

43Θ

4

8.21118 1041

Θ5

1.0238 1046

Θ SinΒ2 1.62943 10

45Θ

2 SinΒ2

6.48329 1043

Θ3 SinΒ2

1.60818 1046

SinΒ4 1.27975 10

45Θ SinΒ4

1.65397 1080Θ

2 3.68058 1063 c2

Θ2

2.0476 1046 c4Θ

2 5.26475 1079

Θ3

1.17157 1063

c2Θ

3 6.51771 10

45c4

Θ3

6.28433 1078

Θ4

1.39845 1062

c2Θ

4

7.77994 1044

c4Θ

4 3.33394 10

77Θ

5 7.41902 10

60c2

Θ5

4.12739 1043

c4Θ

5

6.63267 1075

Θ6

1.47597 1059

c2Θ

6 8.21118 10

41c4

Θ6

1.03922 1081

Θ SinΒ2

2.31258 1064

c2Θ SinΒ2

1.28654 1047

c4Θ SinΒ2

2.48096 1080

Θ2 SinΒ2

5.52087 1063

c2Θ

2 Sin

Β

2

3.0714 1046

c4Θ

2 Sin

Β

2

1.97428 1079

Θ3 Sin

Β

2

4.39337 1062

c2Θ

3 SinΒ2 2.44414 10

45c4

Θ3 SinΒ2

5.23694 1077

Θ4 SinΒ2

1.16538 1061

c2Θ

4 SinΒ2 6.48329 10

43c4

Θ4 SinΒ2

1.6324 1081

SinΒ4

3.63259 1064 c2 SinΒ4 2.0209 1047 c4 SinΒ4

2.59805 1080Θ SinΒ4

5.78144 1063 c2Θ SinΒ4

3.21636 1046 c4Θ SinΒ4

1.03373 1079Θ

2 SinΒ4

2.30036 1062

c2Θ

2 SinΒ4 1.27975 10

45c4

Θ2 SinΒ4,

r c3Θ 1.62943 1045

Θ2

3.88997 1044Θ

3 3.09554 1043

Θ4

8.21118 1041Θ

5

1.0238 1046

Θ SinΒ2 1.62943 10

45Θ

2 SinΒ2 6.48329 10

43Θ

3 SinΒ2

1.60818 1046 SinΒ4 1.27975 1045

Θ SinΒ4 1.65397 10

80Θ

2 3.68058 10

63c2

Θ2

2.0476 1046

c4Θ

2 5.26475 10

79Θ

3

1.17157 1063

c2Θ

3 6.51771 10

45c4

Θ3

6.28433 1078

Θ4

1.39845 1062

c2Θ

4

7.77994 1044

c4Θ

4 3.33394 10

77Θ

5 7.41902 10

60c2

Θ5

4.12739 1043

c4Θ

5

6.63267 1075

Θ6

1.47597 1059

c2Θ

6 8.21118 10

41c4

Θ6

1.03922 1081

Θ SinΒ2

2.31258 1064

c2Θ SinΒ2

1.28654 1047

c4Θ SinΒ2

2.48096 1080

Θ2 SinΒ2

5.52087 1063

c2Θ

2 SinΒ2 3.0714 10

46c4

Θ2 SinΒ2

1.97428 1079

Θ3 SinΒ2

4.39337 1062

c2Θ

3 SinΒ2 2.44414 10

45c4

Θ3 SinΒ2

5.23694 1077

Θ4 SinΒ2

1.16538 1061

c2Θ

4 SinΒ2 6.48329 10

43c4

Θ4 SinΒ2

1.6324 1081

SinΒ4

3.63259 1064

c2 SinΒ4 2.0209 10

47c4 SinΒ4

2.59805 1080

Θ SinΒ4

5.78144 1063

c2Θ SinΒ4

3.21636 1046

c4Θ SinΒ4

1.03373 1079

Θ2 SinΒ4

2.30036 1062 c2Θ

2 SinΒ4 1.27975 1045 c4

Θ2 SinΒ4

Θ : 2 Π Π 2

Π 2 SinΒ2

c : 2.99792458 10^8

Ontology of Phenomenological Velocity © Parker Emmerson 2009-2011.nb 3




RevolutionPlot3Dc3

Θ1.6294275228490475`*^45 Θ

2 3.889971670071122`*^44 Θ

3 3.0955410988962723`*^43 Θ

4

8.211177790557656`*^41 Θ5

1.0237995070679164`*^46 Θ SinΒ2

1.6294275228490475`*^45 Θ2 SinΒ2

6.483286116785203`*^43 Θ3 SinΒ2

1.6081805050767087`*^46 Sin

Β

4

1.2797493838348955`*^45 Θ Sin

Β

4

1.6539703637441768`*^80 Θ2

3.680580435861964`*^63 c2Θ

2 2.0475990141358328`*^46 c4

Θ2

5.264751182347718`*^79 Θ3

1.1715651396295084`*^63 c2Θ

3 6.51771009139619`*^45 c4

Θ3

6.2843338111465474`*^78 Θ4

1.3984528734463713`*^62 c2Θ

4

7.779943340142244`*^44 c4Θ

4 3.333942633611675`*^77 Θ

5 7.419022916335157`*^60 c2

Θ5

4.1273881318616967`*^43 c4Θ

5 6.632668126551373`*^75 Θ

6 1.4759677125584868`*^59 c2

Θ6

8.211177790557656`*^41 c4Θ

6 1.0392202287987887`*^81 Θ SinΒ2

2.312576891650053`*^64 c2Θ SinΒ2

1.286544404061367`*^47 c4Θ SinΒ2

2.480955545616265`*^80 Θ2 SinΒ2

5.520870653792946`*^63 c2Θ

2 SinΒ2

3.071398521203749`*^46 c4Θ

2 SinΒ2 1.974281693380394`*^79 Θ

3 SinΒ2

4.393369273610656`*^62 c2Θ

3 SinΒ2 2.444141284273571`*^45 c4

Θ3 SinΒ2

5.236944842622124`*^77 Θ4 SinΒ2

1.1653773945386426`*^61 c2Θ

4 SinΒ2

6.483286116785203`*^43 c4Θ

4 SinΒ2 1.6324033181280892`*^81 SinΒ4

3.6325872868346625`*^64 c2

SinΒ4

2.0208992241581245`*^47 c4

SinΒ4

2.5980505719969717`*^80 Θ SinΒ4 5.7814422291251325`*^63 c2

Θ SinΒ4

3.2163610101534174`*^46 c4Θ SinΒ4

1.0337314773401105`*^79 Θ2 SinΒ4

2.3003627724137275`*^62 c2Θ

2 SinΒ4 1.2797493838348955`*^45 c4

Θ2 SinΒ4,

c, 3 10^8, 3 10^8, Β, Π 2, Π 2

1108

0

1108

2108

2108 0 2108

5106

0

5106

1107





RevolutionPlot3Dc3

Θ1.6294275228490475`*^45 Θ

2 3.889971670071122`*^44 Θ

3 3.0955410988962723`*^43 Θ

4

8.211177790557656`*^41 Θ5

1.0237995070679164`*^46 Θ SinΒ2

1.6294275228490475`*^45 Θ2 SinΒ2

6.483286116785203`*^43 Θ3 SinΒ2

1.6081805050767087`*^46 Sin

Β

4

1.2797493838348955`*^45 Θ Sin

Β

4

1.6539703637441768`*^80 Θ2

3.680580435861964`*^63 c2Θ

2 2.0475990141358328`*^46 c4

Θ2

5.264751182347718`*^79 Θ3

1.1715651396295084`*^63 c2Θ

3 6.51771009139619`*^45 c4

Θ3

6.2843338111465474`*^78 Θ4

1.3984528734463713`*^62 c2Θ

4 7.779943340142244`*^44 c4

Θ4

3.333942633611675`*^77 Θ5

7.419022916335157`*^60 c2Θ

5 4.1273881318616967`*^43 c4

Θ5

6.632668126551373`*^75 Θ6

1.4759677125584868`*^59 c2Θ

6 8.211177790557656`*^41 c4

Θ6

1.0392202287987887`*^81 Θ SinΒ2 2.312576891650053`*^64 c2

Θ SinΒ2

1.286544404061367`*^47 c4Θ SinΒ2

2.480955545616265`*^80 Θ2 SinΒ2

5.520870653792946`*^63 c2Θ

2 SinΒ2 3.071398521203749`*^46 c4

Θ2 SinΒ2

1.974281693380394`*^79 Θ3 SinΒ2

4.393369273610656`*^62 c2Θ

3 SinΒ2

2.444141284273571`*^45 c4Θ

3 SinΒ2 5.236944842622124`*^77 Θ

4 SinΒ2

1.1653773945386426`*^61 c2Θ

4 SinΒ2 6.483286116785203`*^43 c4

Θ4 SinΒ2

1.6324033181280892`*^81 SinΒ4 3.6325872868346625`*^64 c2 SinΒ4

2.0208992241581245`*^47 c4

SinΒ4

2.5980505719969717`*^80 Θ SinΒ4

5.7814422291251325`*^63 c2Θ SinΒ4

3.2163610101534174`*^46 c4Θ SinΒ4

1.0337314773401105`*^79 Θ2 SinΒ4

2.3003627724137275`*^62 c2Θ

2 SinΒ4

1.2797493838348955`*^45 c4Θ

2 SinΒ4, Β, Π 2, Π 2

1.0

0.5

0.0

0.5

1.01.0

0.5

0.0

0.5

1.

1.0

0.50.0

0.5

.0

Β : ArcSin 4 Π Θ Θ

2 Π





RevolutionPlot3Dc3

Θ1.6294275228490475`*^45 Θ

2 3.889971670071122`*^44 Θ

3 3.0955410988962723`*^43 Θ

4

8.211177790557656`*^41 Θ5

1.0237995070679164`*^46 Θ SinΒ2

1.6294275228490475`*^45 Θ2 SinΒ2

6.483286116785203`*^43 Θ3 SinΒ2

1.6081805050767087`*^46 Sin

Β

4

1.2797493838348955`*^45 Θ Sin

Β

4

1.6539703637441768`*^80 Θ2

3.680580435861964`*^63 c2Θ

2 2.0475990141358328`*^46 c4

Θ2

5.264751182347718`*^79 Θ3

1.1715651396295084`*^63 c2Θ

3 6.51771009139619`*^45 c4

Θ3

6.2843338111465474`*^78 Θ4

1.3984528734463713`*^62 c2Θ

4

7.779943340142244`*^44 c4Θ

4 3.333942633611675`*^77 Θ

5 7.419022916335157`*^60 c2

Θ5

4.1273881318616967`*^43 c4Θ

5 6.632668126551373`*^75 Θ

6 1.4759677125584868`*^59 c2

Θ6

8.211177790557656`*^41 c4Θ

6 1.0392202287987887`*^81 Θ SinΒ2

2.312576891650053`*^64 c2Θ SinΒ2

1.286544404061367`*^47 c4Θ SinΒ2

2.480955545616265`*^80 Θ2 SinΒ2

5.520870653792946`*^63 c2Θ

2 SinΒ2

3.071398521203749`*^46 c4Θ

2 SinΒ2 1.974281693380394`*^79 Θ

3 SinΒ2

4.393369273610656`*^62 c2Θ

3 SinΒ2 2.444141284273571`*^45 c4

Θ3 SinΒ2

5.236944842622124`*^77 Θ4 SinΒ2

1.1653773945386426`*^61 c2Θ

4 SinΒ2

6.483286116785203`*^43 c4Θ

4 SinΒ2 1.6324033181280892`*^81 SinΒ4

3.6325872868346625`*^64 c2

SinΒ4

2.0208992241581245`*^47 c4

SinΒ4

2.5980505719969717`*^80 Θ SinΒ4 5.7814422291251325`*^63 c2

Θ SinΒ4

3.2163610101534174`*^46 c4Θ SinΒ4

1.0337314773401105`*^79 Θ2 SinΒ4

2.3003627724137275`*^62 c2Θ

2 SinΒ4 1.2797493838348955`*^45 c4

Θ2 SinΒ4,

c, 3 10^8, 3 10^8, Θ, Π 2, Π 2

2108

0

2108

2108 0 2108

210702107





RevolutionPlot3Dc3

Θ1.6294275228490475`*^45 Θ

2 3.889971670071122`*^44 Θ

3 3.0955410988962723`*^43 Θ

4

8.211177790557656`*^41 Θ5

1.0237995070679164`*^46 Θ SinΒ2

1.6294275228490475`*^45 Θ2 SinΒ2

6.483286116785203`*^43 Θ3 SinΒ2

1.6081805050767087`*^46 Sin

Β

4

1.2797493838348955`*^45 Θ Sin

Β

4

1.6539703637441768`*^80 Θ2

3.680580435861964`*^63 c2Θ

2 2.0475990141358328`*^46 c4

Θ2

5.264751182347718`*^79 Θ3

1.1715651396295084`*^63 c2Θ

3 6.51771009139619`*^45 c4

Θ3

6.2843338111465474`*^78 Θ4

1.3984528734463713`*^62 c2Θ

4 7.779943340142244`*^44 c4

Θ4

3.333942633611675`*^77 Θ5

7.419022916335157`*^60 c2Θ

5 4.1273881318616967`*^43 c4

Θ5

6.632668126551373`*^75 Θ6

1.4759677125584868`*^59 c2Θ

6 8.211177790557656`*^41 c4

Θ6

1.0392202287987887`*^81 Θ SinΒ2 2.312576891650053`*^64 c2

Θ SinΒ2

1.286544404061367`*^47 c4Θ SinΒ2

2.480955545616265`*^80 Θ2 SinΒ2

5.520870653792946`*^63 c2Θ

2 SinΒ2 3.071398521203749`*^46 c4

Θ2 SinΒ2

1.974281693380394`*^79 Θ3 SinΒ2

4.393369273610656`*^62 c2Θ

3 SinΒ2

2.444141284273571`*^45 c4Θ

3 SinΒ2 5.236944842622124`*^77 Θ

4 SinΒ2

1.1653773945386426`*^61 c2Θ

4 SinΒ2 6.483286116785203`*^43 c4

Θ4 SinΒ2

1.6324033181280892`*^81 SinΒ4 3.6325872868346625`*^64 c2 SinΒ4

2.0208992241581245`*^47 c4

SinΒ4

2.5980505719969717`*^80 Θ SinΒ4

5.7814422291251325`*^63 c2Θ SinΒ4

3.2163610101534174`*^46 c4Θ SinΒ4

1.0337314773401105`*^79 Θ2 SinΒ4

2.3003627724137275`*^62 c2Θ

2 SinΒ4

1.2797493838348955`*^45 c4Θ

2 SinΒ4, Θ, Π 2, Π 21

01

1

0

1

21080

2108





210

2108

101

1

0

1

Solve

4 c 2 Π r2

4 Π r2 r2 Θ

c2 r2 Θ

4 Π r2 r2 Θ

4 c 6 Π r2 Θ c6 r2 Θ2

4 Π r2 r2 Θ

1.1294090667581471`*^18 Θ 8.987551787368176`*^16 Θ2

3.5481432270250993`*^18 SinΒ2

12.566370614359172` Θ Θ2

39.47841760435743` SinΒ2 , Θ

Θ

1.01506 1035

2.25882 1018

c2 12.5664 c4 r2

c6 8.07761 1033

r2 1.79751 1017

c2 r2 c4 r2





Plot3D1.015062247661201`*^35 2.2588181335162944`*^18 c2 12.566370614359172` c4 r2

c6 8.07760871306249`*^33 r2

1.7975103574736352`*^17 c2 r2 c4 r2,

r, 1, 1, c, 3.0 10^8, 3.0 10^8

1.0

0.5

0.0

0.5

1.0

2108

0

21

0

1.1012

.1012

1012

2108

0

2108

. . . . .

0

1.1012

2.1012

3.1012

Solve 4 c 2 Π r2

4 Π r2 r2 Θ

c2 r2 Θ

4 Π r2 r2 Θ

4 c 6 Π r2 Θ c6 r2 Θ2

4 Π r2 r2 Θ

1.1294090667581471`*^18 Θ 8.987551787368176`*^16 Θ2

3.5481432270250993`*^18 SinΒ2

12.566370614359172` Θ Θ2

39.47841760435743` SinΒ2 , Β

Solve 4 c 2 Π r2

4 Π r2 r2 Θ

c2 r2 Θ

4 Π r2 r2 Θ

4 c 6 Π r2 Θ c6 r2 Θ2

4 Π r2 r2 Θ

1.1294090667581471`*^18 Θ 8.987551787368176`*^16 Θ2

3.5481432270250993`*^18 SinΒ2

12.566370614359172` Θ Θ2

39.47841760435743` SinΒ2 , c





c

Root1.6539703637441768378304905583564 1080 r2Θ

2 5.2647511823477177682105578757695 1079

r2Θ

3 6.2843338111465477438022090943599 10

78r2

Θ4

3.3339426336116751332792945998413 1077

r2Θ

5 6.6326681265513728159832666914994 10

75

r2Θ

6 1.0392202287987887421152167160698 10

81r2

Θ SinΒ2

2.4809555456162651150679275533446 1080

r2Θ

2 Sin

Β

2

1.9742816933803941278907918143229 1079 r2 Θ3 SinΒ2

5.2369448426221232322178822848048 1077

r2Θ

4 SinΒ2

1.6324033181280892853402600163092 1081 r2 SinΒ4

2.5980505719969718552880417901745 1080 r2Θ SinΒ4

1.0337314773401105236440565989727 1079 r2Θ

2 SinΒ4

3.6805804358619639152542428946229 1063

r2Θ

2 1.1715651396295084343350277150183 10

63

r2Θ

3 1.3984528734463712417367400517893 10

62r2

Θ4

7.4190229163351575984264269033015 1060

r2Θ

5 1.4759677125584867290209028281013

1059

r2Θ

6 2.3125768916500528710263464701776 10

64r2

Θ SinΒ2

5.5208706537929457853006379110093 1063

r2Θ

2 SinΒ2

4.3933692736106565513513281036903 1062

r2Θ

3 SinΒ2

1.1653773945386426788696894124088 1061

r2Θ

4 SinΒ2

3.6325872868346624737226508141661 1064

r2 Sin

Β

4

5.7814422291251321775658661754441 1063

r2Θ SinΒ4

2.3003627724137274470339018091393 1062

r2Θ

2 SinΒ4 12

2.0475990141358326793862229391694 1046

r2Θ

2 6.5177100913961894138291231822509 10

45

r2Θ

3 7.7799433401422439744648369436701 1044 r2

Θ4

4.1273881318616966226529531247028 1043

r2Θ

5 8.211177790557656550483338610990

1041

r2Θ

6 1.2865444040613669693619145948318 10

47r2

Θ SinΒ2

3.0713985212037490970283649740038 1046

r2Θ

2 SinΒ2

2.4441412842735709876238193943913 1045

r2Θ

3 SinΒ2

6.4832861167852029217157336168513 1043

r2Θ

4 SinΒ2

2.0208992241581244181716190885021 1047

r2 SinΒ4

3.2163610101534174234047864870794 1046

r2Θ SinΒ4

1.2797493838348954246163893369809 1045 r2Θ

2 SinΒ4 14

1.6294275228490474905680650795677 1045 Θ3 3.8899716700711220883495200210324 1044

Θ4

3.0955410988962724606297290957727 1043

Θ5

8.211177790557656550483338610990 1041

Θ6

1.0237995070679164258423579964977 1046

Θ2 SinΒ2

1.6294275228490473484356373294105 1045Θ

3 SinΒ2

6.4832861167852029217157336168513 1043Θ

4 SinΒ2

1.6081805050767087858042877996039 1046Θ SinΒ4

1.2797493838348954246163893369809 1045

Θ2 SinΒ4 1

6&, 1,

c Root1.6539703637441768378304905583564 1080 r2Θ

2

5.2647511823477177682105578757695 1079

r2Θ

3

6.2843338111465477438022090943599 1078

r2Θ

4





3.3339426336116751332792945998413 1077

r2Θ

5

6.6326681265513728159832666914994 1075

r2Θ

6

1.0392202287987887421152167160698 1081

r2Θ SinΒ2

2.4809555456162651150679275533446 1080

r2Θ

2 SinΒ2

1.9742816933803941278907918143229 1079

r2Θ

3 SinΒ2

5.2369448426221232322178822848048 1077

r2Θ

4 SinΒ2

1.6324033181280892853402600163092 1081

r2

SinΒ4

2.5980505719969718552880417901745 10

80r2

Θ SinΒ4

1.0337314773401105236440565989727 1079

r2Θ

2 SinΒ4

3.6805804358619639152542428946229 1063

r2Θ

2 1.1715651396295084343350277150183 10

63

r2Θ

3 1.3984528734463712417367400517893 10

62r2

Θ4

7.4190229163351575984264269033015 1060

r2Θ

5 1.4759677125584867290209028281013

1059

r2Θ

6 2.3125768916500528710263464701776 10

64r2

Θ SinΒ2

5.5208706537929457853006379110093 1063

r2Θ

2 SinΒ2

4.3933692736106565513513281036903 1062

r2Θ

3 SinΒ2

1.1653773945386426788696894124088 1061 r2Θ

4 SinΒ2

3.6325872868346624737226508141661 1064 r2 SinΒ4

5.7814422291251321775658661754441 1063 r2Θ SinΒ4

2.3003627724137274470339018091393 1062

r2Θ

2 Sin

Β

4

1

2

2.0475990141358326793862229391694 1046

r2Θ

2 6.5177100913961894138291231822509 10

45

r2Θ

3 7.7799433401422439744648369436701 10

44r2

Θ4

4.1273881318616966226529531247028 1043

r2Θ

5 8.211177790557656550483338610990

1041

r2Θ

6 1.2865444040613669693619145948318 10

47r2

Θ SinΒ2

3.0713985212037490970283649740038 1046

r2Θ

2 SinΒ2

2.4441412842735709876238193943913 1045

r2Θ

3 SinΒ2

6.4832861167852029217157336168513 1043

r2Θ

4 SinΒ2

2.0208992241581244181716190885021 1047

r2 SinΒ4

3.2163610101534174234047864870794 1046

r2Θ SinΒ4

1.2797493838348954246163893369809 1045

r2Θ

2 SinΒ4 14

1.6294275228490474905680650795677 1045

Θ3

3.8899716700711220883495200210324 1044

Θ4

3.0955410988962724606297290957727 1043

Θ5

8.211177790557656550483338610990 1041 Θ6 1.0237995070679164258423579964977 1046

Θ2 SinΒ2

1.6294275228490473484356373294105 1045

Θ3 SinΒ2

6.4832861167852029217157336168513 1043

Θ4 SinΒ2

1.6081805050767087858042877996039 1046

Θ SinΒ4

1.2797493838348954246163893369809 1045Θ

2 SinΒ4 16 &, 2,

c Root1.6539703637441768378304905583564 1080

r2Θ

2

5.2647511823477177682105578757695 1079

r2Θ

3

6.2843338111465477438022090943599 1078

r2Θ

4

3.3339426336116751332792945998413 1077

r2Θ

5

6.6326681265513728159832666914994 1075

r2Θ

6

1.0392202287987887421152167160698 1081

r2Θ SinΒ2





2.4809555456162651150679275533446 1080

r2Θ

2 SinΒ2

1.9742816933803941278907918143229 1079

r2Θ

3 SinΒ2

5.2369448426221232322178822848048 1077

r2Θ

4 SinΒ2

1.6324033181280892853402600163092 1081

r2 SinΒ4

2.5980505719969718552880417901745 1080

r2Θ SinΒ4

1.0337314773401105236440565989727 1079

r2Θ

2 SinΒ4

3.6805804358619639152542428946229 1063

r2

Θ2

1.1715651396295084343350277150183 1063

r2Θ

3 1.3984528734463712417367400517893 10

62r2

Θ4

7.4190229163351575984264269033015 1060

r2Θ

5 1.4759677125584867290209028281013

1059

r2Θ

6 2.3125768916500528710263464701776 10

64r2

Θ SinΒ2

5.5208706537929457853006379110093 1063

r2Θ

2 SinΒ2

4.3933692736106565513513281036903 1062

r2Θ

3 SinΒ2

1.1653773945386426788696894124088 1061

r2Θ

4 SinΒ2

3.6325872868346624737226508141661 1064

r2 SinΒ4

5.7814422291251321775658661754441 1063

r2Θ SinΒ4

2.3003627724137274470339018091393 1062

r2Θ

2 SinΒ4 12

2.0475990141358326793862229391694 1046

r2Θ

2 6.5177100913961894138291231822509 10

45

r2Θ

3 7.7799433401422439744648369436701 10

44r2

Θ4

4.1273881318616966226529531247028 1043

r2Θ

5 8.211177790557656550483338610990

1041

r2Θ

6 1.2865444040613669693619145948318 10

47r2

Θ SinΒ2

3.0713985212037490970283649740038 1046

r2Θ

2 SinΒ2

2.4441412842735709876238193943913 1045

r2Θ

3 SinΒ2

6.4832861167852029217157336168513 1043

r2Θ

4 SinΒ2

2.0208992241581244181716190885021 1047

r2 SinΒ4

3.2163610101534174234047864870794 1046

r2Θ SinΒ4

1.2797493838348954246163893369809 1045

r2Θ

2 SinΒ4 14

1.6294275228490474905680650795677 1045

Θ3

3.8899716700711220883495200210324 1044

Θ4

3.0955410988962724606297290957727 1043

Θ5

8.211177790557656550483338610990 1041

Θ6

1.0237995070679164258423579964977 1046

Θ2 SinΒ2

1.6294275228490473484356373294105 1045

Θ3 SinΒ2

6.4832861167852029217157336168513 1043

Θ4 SinΒ2

1.6081805050767087858042877996039 1046 Θ SinΒ4

1.2797493838348954246163893369809 1045

Θ2 SinΒ4 1

6&, 3,

c Root1.6539703637441768378304905583564 1080

r2Θ

2

5.2647511823477177682105578757695 1079

r2Θ

3

6.2843338111465477438022090943599 1078

r2Θ

4

3.3339426336116751332792945998413 1077

r2Θ

5

6.6326681265513728159832666914994 1075

r2Θ

6

1.0392202287987887421152167160698 1081

r2Θ SinΒ2

2.4809555456162651150679275533446 1080

r2Θ

2 SinΒ2

1.9742816933803941278907918143229 1079

r2Θ

3 SinΒ2

5.2369448426221232322178822848048 1077

r2Θ

4 SinΒ2





1.6324033181280892853402600163092 1081

r2 SinΒ4

2.5980505719969718552880417901745 1080

r2Θ SinΒ4

1.0337314773401105236440565989727 1079

r2Θ

2 SinΒ4

3.6805804358619639152542428946229 1063

r2Θ

2 1.1715651396295084343350277150183 10

63

r2Θ

3 1.3984528734463712417367400517893 10

62r2

Θ4

7.4190229163351575984264269033015 1060

r2Θ

5 1.4759677125584867290209028281013

1059 r2 Θ6 2.3125768916500528710263464701776 1064 r2 Θ SinΒ2

5.5208706537929457853006379110093 1063

r2Θ

2 SinΒ2

4.3933692736106565513513281036903 1062

r2Θ

3 SinΒ2

1.1653773945386426788696894124088 1061

r2Θ

4 SinΒ2

3.6325872868346624737226508141661 1064

r2 SinΒ4

5.7814422291251321775658661754441 1063

r2Θ SinΒ4

2.3003627724137274470339018091393 1062

r2Θ

2 SinΒ4 12

2.0475990141358326793862229391694 1046

r2Θ

2 6.5177100913961894138291231822509 10

45

r2Θ

3 7.7799433401422439744648369436701 10

44r2

Θ4

4.1273881318616966226529531247028 1043

r2Θ

5 8.211177790557656550483338610990

1041

r2Θ

6 1.2865444040613669693619145948318 10

47r2

Θ SinΒ2

3.0713985212037490970283649740038 1046

r2Θ

2 SinΒ2

2.4441412842735709876238193943913 1045

r2Θ

3 Sin

Β

2

6.4832861167852029217157336168513 1043

r2Θ

4 SinΒ2

2.0208992241581244181716190885021 1047

r2 SinΒ4

3.2163610101534174234047864870794 1046

r2Θ SinΒ4

1.2797493838348954246163893369809 1045

r2Θ

2 SinΒ4 14

1.6294275228490474905680650795677 1045

Θ3

3.8899716700711220883495200210324 1044

Θ4

3.0955410988962724606297290957727 1043Θ

5

8.211177790557656550483338610990 1041

Θ6

1.0237995070679164258423579964977 1046

Θ2 SinΒ2

1.6294275228490473484356373294105 1045

Θ3 SinΒ2

6.4832861167852029217157336168513 1043

Θ4 SinΒ2

1.6081805050767087858042877996039 1046

Θ SinΒ4

1.2797493838348954246163893369809 1045

Θ2 SinΒ4 1

6&, 4,

c Root

1.6539703637441768378304905583564 10

80r2

Θ2

5.2647511823477177682105578757695 1079

r2Θ

3

6.2843338111465477438022090943599 1078

r2Θ

4

3.3339426336116751332792945998413 1077

r2Θ

5

6.6326681265513728159832666914994 1075

r2Θ

6

1.0392202287987887421152167160698 1081

r2Θ SinΒ2

2.4809555456162651150679275533446 1080

r2Θ

2 SinΒ2

1.9742816933803941278907918143229 1079

r2Θ

3 SinΒ2

5.2369448426221232322178822848048 1077

r2Θ

4 SinΒ2

1.6324033181280892853402600163092 1081

r2 SinΒ4

2.5980505719969718552880417901745 1080

r2Θ SinΒ4

1.0337314773401105236440565989727 1079

r2Θ

2 SinΒ4





3.6805804358619639152542428946229 1063

r2Θ

2 1.1715651396295084343350277150183 10

63

r2Θ

3 1.3984528734463712417367400517893 1062 r2

Θ4

7.4190229163351575984264269033015 1060

r2Θ

5 1.4759677125584867290209028281013

1059

r2Θ

6 2.3125768916500528710263464701776 10

64r2

Θ SinΒ2

5.5208706537929457853006379110093 1063

r2Θ

2 SinΒ2

4.3933692736106565513513281036903 1062

r2Θ

3 SinΒ2

1.1653773945386426788696894124088 1061 r2 Θ4 SinΒ2

3.6325872868346624737226508141661 1064

r2 SinΒ4

5.7814422291251321775658661754441 1063

r2Θ SinΒ4

2.3003627724137274470339018091393 1062 r2Θ

2 SinΒ4 12

2.0475990141358326793862229391694 1046

r2Θ

2 6.5177100913961894138291231822509 10

45

r2Θ

3 7.7799433401422439744648369436701 10

44r2

Θ4

4.1273881318616966226529531247028 1043

r2Θ

5 8.211177790557656550483338610990

1041 r2Θ

6 1.2865444040613669693619145948318 1047 r2

Θ SinΒ2

3.0713985212037490970283649740038 1046 r2Θ

2 SinΒ2

2.4441412842735709876238193943913 1045 r2Θ

3 SinΒ2

6.4832861167852029217157336168513 1043 r2Θ

4 SinΒ2

2.0208992241581244181716190885021 1047

r2 SinΒ4

3.2163610101534174234047864870794 1046

r2Θ Sin

Β

4

1.2797493838348954246163893369809 1045

r2Θ

2 SinΒ4 14

1.6294275228490474905680650795677 1045Θ

3 3.8899716700711220883495200210324 1044

Θ4

3.0955410988962724606297290957727 1043

Θ5

8.211177790557656550483338610990 1041

Θ6

1.0237995070679164258423579964977 1046

Θ2 SinΒ2

1.6294275228490473484356373294105 1045

Θ3 SinΒ2

6.4832861167852029217157336168513 1043

Θ4 SinΒ2

1.6081805050767087858042877996039 1046

Θ SinΒ4

1.2797493838348954246163893369809 1045

Θ2 SinΒ4 1

6&, 5,

c Root1.6539703637441768378304905583564 1080

r2Θ

2

5.2647511823477177682105578757695 1079

r2Θ

3

6.2843338111465477438022090943599 1078

r2Θ

4

3.3339426336116751332792945998413 1077 r2Θ

5

6.6326681265513728159832666914994 1075 r2Θ

6

1.0392202287987887421152167160698 1081 r2Θ SinΒ2

2.4809555456162651150679275533446 1080 r2Θ

2 SinΒ2

1.9742816933803941278907918143229 1079

r2Θ

3 SinΒ2

5.2369448426221232322178822848048 1077

r2Θ

4 SinΒ2

1.6324033181280892853402600163092 1081

r2 SinΒ4

2.5980505719969718552880417901745 1080

r2Θ SinΒ4

1.0337314773401105236440565989727 1079

r2Θ

2 SinΒ4

3.6805804358619639152542428946229 1063 r2Θ

2 1.1715651396295084343350277150183 1063

r2Θ

3 1.3984528734463712417367400517893 10

62r2

Θ4

7.4190229163351575984264269033015 1060

r2Θ

5 1.4759677125584867290209028281013





1059

r2Θ

6 2.3125768916500528710263464701776 10

64r2

Θ SinΒ2

5.5208706537929457853006379110093 1063

r2Θ

2 SinΒ2

4.3933692736106565513513281036903 1062

r2Θ

3 SinΒ2

1.1653773945386426788696894124088 1061

r2Θ

4 SinΒ2

3.6325872868346624737226508141661 1064

r2 SinΒ4

5.7814422291251321775658661754441 1063

r2Θ SinΒ4

2.3003627724137274470339018091393 1062

r2

Θ2

SinΒ4

12

2.0475990141358326793862229391694 1046

r2Θ

2 6.5177100913961894138291231822509 10

45

r2Θ

3 7.7799433401422439744648369436701 10

44r2

Θ4

4.1273881318616966226529531247028 1043

r2Θ

5 8.211177790557656550483338610990

1041 r2Θ

6 1.2865444040613669693619145948318 1047 r2

Θ SinΒ2

3.0713985212037490970283649740038 1046 r2Θ

2 SinΒ2

2.4441412842735709876238193943913 1045 r2Θ

3 SinΒ2

6.4832861167852029217157336168513 1043 r2Θ

4 SinΒ2

2.0208992241581244181716190885021 1047

r2 SinΒ4

3.2163610101534174234047864870794 1046

r2Θ SinΒ4

1.2797493838348954246163893369809 1045

r2Θ

2 SinΒ4 14

1.6294275228490474905680650795677 1045Θ

3 3.8899716700711220883495200210324 1044

Θ

4

3.0955410988962724606297290957727 10

43

Θ

5

8.211177790557656550483338610990 10

41Θ

6 1.0237995070679164258423579964977 10

46

Θ2 SinΒ2

1.6294275228490473484356373294105 1045

Θ3 SinΒ2

6.4832861167852029217157336168513 1043

Θ4 SinΒ2

1.6081805050767087858042877996039 1046

Θ SinΒ4

1.2797493838348954246163893369809 1045

Θ2 SinΒ4 1

6&, 6



ontology of phenomenological velocity © parker emmerson 2009-2011

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