Arc formula without the use of radius and angle

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Discussion Overview

The discussion revolves around a proposed formula for the arc length of a circle that does not utilize the radius or angle. Participants explore the feasibility of defining an arc without these traditional parameters and the implications of publishing such a formula.

Discussion Character

  • Exploratory
  • Debate/contested
  • Meta-discussion

Main Points Raised

  • One participant expresses interest in publishing their formula for the arc of a circle and seeks feedback on its importance.
  • Another participant suggests that the formula could either be wrong, well-known, or useless, indicating skepticism about its originality.
  • Several participants question how an arc can be specified without reference to the radius or angle, raising concerns about the definition of the arc itself.
  • A participant describes their formula in terms of the distance between the starting and ending points of the arc and the breadth of the arc, but does not provide the complete formula.
  • Another participant attempts to derive an expression for the arc length based on the described parameters, suggesting a mathematical formulation involving the chord length and distance to the center of the circle.
  • Concerns about copyright and the potential for intellectual property theft are raised, with one participant expressing hesitation to share their formula publicly.
  • A participant challenges the correctness of the derived expression presented by another, indicating disagreement on the mathematical formulation.
  • There is a repeated request for guidance on how to publish the formula, highlighting a desire for visibility and validation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the validity or originality of the proposed formula. There are multiple competing views regarding the feasibility of defining an arc without traditional parameters, and the discussion remains unresolved.

Contextual Notes

The discussion includes unresolved questions about the assumptions underlying the proposed formula and the definitions of the terms used. There is also ambiguity regarding the completeness of the formula shared by the original poster.

Danishk Barwa
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I had created a formula on arc of a circle...How can I publish it ..So that people see it and decide is it important or not.
 
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There are exactly three possibilities: either it is wrong, well known, or useless.
 
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Danishk Barwa said:
I had created a formula on arc of a circle...
Out of idle curiosity, what is your formula?
 
I assume that you are talking about a formula for the arc length that does not use the radius or angle. My first question is how one can even specify an arc without the radius and the angle (in one form or another)?
 
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FactChecker said:
I assume that you are talking about a formula for the arc length that does not use the radius or angle. My first question is how one can even specify an arc without the radius and the angle (in one form or another)?
My formula is in terms of distance between starting and ending point of arc(x). And breadth of arc (distance between mid point x and mid point
 
Mark44 said:
Out of idle curiosity, what is your formula?
Please suggest me how to publish it
 
What is your concern about showing it here? Do you think there is some copyright privilege that you will give up and that someone will steal it?
 
Mark44 said:
Out of idle curiosity, what is your formula?
Danishk Barwa said:
My formula is in terms of distance between starting and ending point of arc(x). And breadth of arc (distance between mid point x and mid point
So ##x## is the length of the chord across the arc? Calling the distance from its midpoint to the centre of the circle ##p##, I make the arc length $$2\sqrt{(x/2)^2+p^2}\tan^{-1}(x/2p)$$
 
FactChecker said:
What is your concern about showing it here? Do you think there is some copyright privilege that you will give up and that someone will steal it?
Yes
 
  • #10
Ibix said:
So ##x## is the length of the chord across the arc? Calling the distance from its midpoint to the centre of the circle ##p##, I make the arc length $$2\sqrt{(x/2)^2+p^2}\tan^{-1}(x/2p)$$
No..That's not correct ...You please tell me how and where to publish it
 
  • #11
Danishk Barwa said:
You please tell me how and where to publish it
Since you do not wish to divulge the formula you have created, we have no way of discerning whether it is useful or original.

Thread closed.
 

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