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Re: ArcPrecise, an accurate arc

Newsgroups comp.lang.postscript
Date 2022-07-21 15:24 -0700
References <a31725cf-9984-4c06-b541-bee4c215626cn@googlegroups.com> <62351448-10c4-45c7-a2b7-7d71ac7d03aan@googlegroups.com> <6fudnUECfJxtwkT_nZ2dnUU7_83NnZ2d@giganews.com> <514d5e2b-b94a-4d46-8b4a-a6f8fa8831d6n@googlegroups.com> <fcb58701-60b3-469e-a16f-eda111f52bcbn@googlegroups.com>
Message-ID <fa2cc078-91ea-483f-9aa4-6f6634ff1dfcn@googlegroups.com> (permalink)
Subject Re: ArcPrecise, an accurate arc
From jdaw1 <jdawiseman@gmail.com>

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An observation about the maths. 

> A speed of Tan[θ/4]·4/3 has the radius precisely correct at the midpoint

If θ = 90°, then the speed is Tan[22½°]·4/3 = (√2 − 1)·4/3 ≈ 0.55228474983, which is only an edge bigger than Adobe’s fixed value of 0.552.

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ArcPrecise, an accurate arc jdaw1 <jdawiseman@gmail.com> - 2022-07-19 12:47 -0700
  Re: ArcPrecise, an accurate arc jdaw1 <jdawiseman@gmail.com> - 2022-07-20 11:25 -0700
    Re: ArcPrecise, an accurate arc David Newall <davidn@davidnewall.com> - 2022-07-21 18:29 +1000
    Re: ArcPrecise, an accurate arc John Reiser <vendor@BitWagon.com> - 2022-07-21 07:17 -0700
      Re: ArcPrecise, an accurate arc jdaw1 <jdawiseman@gmail.com> - 2022-07-21 12:02 -0700
      Re: ArcPrecise, an accurate arc luser droog <luser.droog@gmail.com> - 2022-07-21 14:31 -0700
        Re: ArcPrecise, an accurate arc jdaw1 <jdawiseman@gmail.com> - 2022-07-21 15:00 -0700
          Re: ArcPrecise, an accurate arc jdaw1 <jdawiseman@gmail.com> - 2022-07-21 15:24 -0700
            Re: ArcPrecise, an accurate arc jdaw1 <jdawiseman@gmail.com> - 2022-07-22 00:58 -0700
              Re: ArcPrecise, an accurate arc Phil Wakely <pwakely99@googlemail.com> - 2022-07-22 01:42 -0700
                Re: ArcPrecise, an accurate arc Phil Wakely <pwakely99@googlemail.com> - 2022-07-22 01:52 -0700
                Re: ArcAccurate, an accurate arc jdaw1 <jdawiseman@gmail.com> - 2022-07-22 14:03 -0700
                Re: ArcAccurate, an accurate arc jdaw1 <jdawiseman@gmail.com> - 2022-07-24 09:02 -0700
  Re: ArcPrecise, an accurate arc jdaw1 <jdawiseman@gmail.com> - 2024-01-22 11:07 -0800

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