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mirror of https://github.com/Pomax/BezierInfo-2.git synced 2025-08-21 07:51:49 +02:00

circle intersection

This commit is contained in:
Pomax
2020-11-20 17:16:37 -08:00
parent 43973e9bb3
commit 22e7babbb5
89 changed files with 16058 additions and 29539 deletions

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
dist(B(t), c) = r

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
r = dist(B(t), c)
┌─────────────────────────┐
│ 2 2
= │(B t - c ) + (B t - c )
⟍│ x x y y
┌─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│╭ 3 2 2 3 ╮2 ╭ 3 2 2 3 ╮2
= ││ x (1-t) + 3 x (1-t) t + 2 x (1-t) t + x t - c │ + │ y (1-t) + 3 y (1-t) t + 2 y (1-t) t + y t - c │
⟍│╰ 1 2 3 4 x ╯ ╰ 1 2 3 4 y ╯

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
┌─────────────────────────┐
│ 2 2
dist(B(t), c = r │(B t - c ) + (B t - c ) = r
⟍│ x x y y

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@@ -0,0 +1,11 @@
\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
r = dist(B(t), c = r
┌─────────────────────────┐
│ 2 2
= │(B t - c ) + (B t - c )
⟍│ x x y y
┌─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│╭ 3 2 2 3 ╮2 ╭ 3 2 2 3 ╮2
= ││ x (1-t) + 3 x (1-t) t + 2 x (1-t) t + x t - c │ + │ y (1-t) + 3 y (1-t) t + 2 y (1-t) t + y t - c │
⟍│╰ 1 2 3 4 x ╯ ╰ 1 2 3 4 y ╯