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Metalworking (rec.crafts.metalworking) Discuss various aspects of working with metal, such as machining, welding, metal joining, screwing, casting, hardening/tempering, blacksmithing/forging, spinning and hammer work, sheet metal work. |
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#1
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A Planar Geometry Problem
In article , Tim Wescott
writes Consider two circles, of arbitrary diameter, and a point, all on a plane. I want to inscribe an arc that is tangent to both circles, and which passes through the point. Anyone know a way to construct the arc? I'm not snickering in the background here as I pose puzzles -- this is a drafting problem that I'm running into quite a lot lately. Just tried it using an ancient version of EasyCad. I just drew 3 circles and used the "draw circle tangent to 3 circles" instruction, and then trimmed the new circle to get the required arc. The third circle can be made very very small so that in practical terms it approximates to a point. -- Chris Holford |
#2
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A Planar Geometry Problem
On 5/4/2011 5:16 AM, Chris Holford wrote:
In , Tim Wescott writes Consider two circles, of arbitrary diameter, and a point, all on a plane. I want to inscribe an arc that is tangent to both circles, and which passes through the point. Anyone know a way to construct the arc? I'm not snickering in the background here as I pose puzzles -- this is a drafting problem that I'm running into quite a lot lately. Just tried it using an ancient version of EasyCad. I just drew 3 circles and used the "draw circle tangent to 3 circles" instruction, and then trimmed the new circle to get the required arc. The third circle can be made very very small so that in practical terms it approximates to a point. In autocad you can draw a circle tan, tan ,tan to the two circles and the point |
#3
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A Planar Geometry Problem
On Wed, 04 May 2011 08:12:54 -0400, the renowned Steve Austin
wrote: On 5/4/2011 5:16 AM, Chris Holford wrote: In , Tim Wescott writes Consider two circles, of arbitrary diameter, and a point, all on a plane. I want to inscribe an arc that is tangent to both circles, and which passes through the point. Anyone know a way to construct the arc? I'm not snickering in the background here as I pose puzzles -- this is a drafting problem that I'm running into quite a lot lately. Just tried it using an ancient version of EasyCad. I just drew 3 circles and used the "draw circle tangent to 3 circles" instruction, and then trimmed the new circle to get the required arc. The third circle can be made very very small so that in practical terms it approximates to a point. In autocad you can draw a circle tan, tan ,tan to the two circles and the point In Solidworks you can draw an arc through the point then constrain it to be tangent to each of the two circles Best regards, Spehro Pefhany -- "it's the network..." "The Journey is the reward" Info for manufacturers: http://www.trexon.com Embedded software/hardware/analog Info for designers: http://www.speff.com |
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