From roberthpike at yahoo.com  Thu Apr 14 07:50:37 2011
From: roberthpike at yahoo.com (Robert Pike)
Date: Thu, 14 Apr 2011 07:50:37 -0700 (PDT)
Subject: [kw-pm] Angles
Message-ID: <838348.54521.qm@web120518.mail.ne1.yahoo.com>

Anyone have the formula (in Perl) to determine any 1 angle of a triangle when given all 3 sides? Appreciate it if you could pass my way as what I've been trying doesn't seem to be working. Thanks.

From foxryan at gmail.com  Thu Apr 14 07:57:07 2011
From: foxryan at gmail.com (Ryan Fox)
Date: Thu, 14 Apr 2011 10:57:07 -0400
Subject: [kw-pm] Angles
In-Reply-To: <838348.54521.qm@web120518.mail.ne1.yahoo.com>
References: <838348.54521.qm@web120518.mail.ne1.yahoo.com>
Message-ID: <BANLkTikqSmWSGFVfdxR-7gg0BJ_wkGVZ9Q@mail.gmail.com>

If you have a triangle with vertices labelled A,B,C and edges opposite the
vertices labelled a,b,c, then:
C = acos((a**2 + b**2 - c**2)/(2*a*b))

Keep in mind, this result will be in radians, not degrees. Use rad2deg() to
get degrees.

On Thu, Apr 14, 2011 at 10:50 AM, Robert Pike <roberthpike at yahoo.com> wrote:

> Anyone have the formula (in Perl) to determine any 1 angle of a triangle
> when given all 3 sides? Appreciate it if you could pass my way as what I've
> been trying doesn't seem to be working. Thanks.
> _______________________________________________
> kw-pm mailing list
> kw-pm at pm.org
> http://mail.pm.org/mailman/listinfo/kw-pm
>
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From tyler at piwebsolutions.ca  Thu Apr 14 08:15:56 2011
From: tyler at piwebsolutions.ca (Tyler Slijboom)
Date: Thu, 14 Apr 2011 11:15:56 -0400
Subject: [kw-pm] Angles
In-Reply-To: <838348.54521.qm@web120518.mail.ne1.yahoo.com>
References: <838348.54521.qm@web120518.mail.ne1.yahoo.com>
Message-ID: <1302794156.1939.10.camel@inspiron>



I think what you want is:

use Math::Trig qw( acos );
$angle_a = acos( ($C ** 2 + $B ** 2 - $A ** 2 ) / 2 * $C * $B ) ;

http://en.wikipedia.org/wiki/Law_of_cosines


Or is that what you already tried?



On Thu, 2011-04-14 at 07:50 -0700, Robert Pike wrote:
> Anyone have the formula (in Perl) to determine any 1 angle of a triangle when given all 3 sides? Appreciate it if you could pass my way as what I've been trying doesn't seem to be working. Thanks.
> _______________________________________________
> kw-pm mailing list
> kw-pm at pm.org
> http://mail.pm.org/mailman/listinfo/kw-pm


From roberthpike at yahoo.com  Thu Apr 14 08:20:38 2011
From: roberthpike at yahoo.com (Robert Pike)
Date: Thu, 14 Apr 2011 08:20:38 -0700 (PDT)
Subject: [kw-pm] Angles
Message-ID: <900712.97511.qm@web120514.mail.ne1.yahoo.com>

Thanks to all that replied. I thought it was something I was leaving out or the code that generated the sides but I was missing the rad2deg call afterwards. Thanks again.

From daniel at coder.com  Tue Apr 19 08:00:01 2011
From: daniel at coder.com (Daniel R. Allen)
Date: Tue, 19 Apr 2011 11:00:01 -0400 (EDT)
Subject: [kw-pm] Thursday /pub/social: McCabe's, Kitchener
Message-ID: <Pine.LNX.4.44.1104191055540.753-100000@matrix2.coder.com>

We are having a social meetup this Thursday, 21 April, at or around 7pm.

The probability waveform has collapsed and the location is McCabe's Pub,
352 King St W, Kitchener, ON.

We'll just try and find each other...
If all else fails, send me a text (519-781-7733)


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From roberthpike at yahoo.com  Wed Apr 27 13:51:20 2011
From: roberthpike at yahoo.com (Robert Pike)
Date: Wed, 27 Apr 2011 13:51:20 -0700 (PDT)
Subject: [kw-pm] Angle Label Algorithm
Message-ID: <116601.59676.qm@web120517.mail.ne1.yahoo.com>

Hey all,
???? I'm looking for a flexible algorithm to determine where to place labels for angles. The program is in Java but it shouldn't take too much to convert from Perl to Java if need be. I have 2 adjacent angles adding up to a minimum of 50 to a maximum of 180 degrees. I have the coordinates (x1,y1 and x2,y2) for 3 lines making up the 2 angles (they share a side). The far right angle will always have it's bottom side "flat" on the x-axis and the angles rotate counter-clockwise. What's the easiest/effective way to determine the best position (that most clearly defines each angle) for each label?
???? The top diagram here : http://www.mathsisfun.com/geometry/adjacent-angles.html?or one of the diagrams on http://www.icoachmath.com/Sitemap/AdjacentAngles.html?are 2 places to look at. I don't need to put arcs there just label the angles appropriately. Again, I have the x,y points for the 3 lines I'm drawing for the angles as seen on these sites. I want to keep the amount of code to a minimum so I'm trying to find something with less weight than what I've already got. Any suggestions would be appreciated. Thanks.
?
Rob
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