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Jon
Feb 24, 2013, 2:08:10 PM2/24/13
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What is the noniterative solution for the angle subtending an arc and cord
of known length on a circle?
of known length on a circle?
Ken Pledger
Feb 24, 2013, 5:51:12 PM2/24/13
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In article <kgdoer$t2u$1...@news.albasani.net>,
"Jon" <nor...@noreply.com> wrote:
> What is the noniterative solution for the angle subtending an arc and chord
(sin(t))/t = chord/arc, which is known.
To solve
(sin(t))/t = a given number
does require an iterative process unless you have access to (unusual)
tables of that function.
Ken Pledger.
"Jon" <nor...@noreply.com> wrote:
> What is the noniterative solution for the angle subtending an arc and chord
> of known length on a circle?
If the angle is 2t, then
(sin(t))/t = chord/arc, which is known.
To solve
(sin(t))/t = a given number
does require an iterative process unless you have access to (unusual)
tables of that function.
Ken Pledger.
William Elliot
Feb 25, 2013, 11:19:00 PM2/25/13
to
On Sun, 24 Feb 2013, Jon wrote:
> What is the noniterative solution for the angle subtending an arc and cord of
> known length on a circle?
>
t is angle, r radius, a arc lenght, cord length
> What is the noniterative solution for the angle subtending an arc and cord of
> known length on a circle?
>
a = rt; c = 2r.sin t/2
c/a = (2.sin t/2)/t; solve for t.
Find the solution t0, by numerical (iterative) methods. r = a/t0.
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