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mirror of https://github.com/Pomax/BezierInfo-2.git synced 2025-08-27 10:15:05 +02:00

full regeneration

This commit is contained in:
Pomax
2021-02-28 12:28:41 -08:00
parent d8fab98ec7
commit 45394f6d0f
329 changed files with 3135 additions and 2361 deletions

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\usepackagexeCJK \xeCJKsetupCJKmath=true \setCJKmainfontipaexm.ttf
┌─────────────────┐
│ 2 2
d = \| tangent(t)\| = │B' (t) + B' (t)
⟍│ x y
tangent (t) B' (t)
^ x x
x(t) = \| tangent (t)\| =─────────────── = ──────
x \| tangent(t)\| d
tangent (t) B' (t)
^ y y
y(t) = \| tangent (t)\| = ─────────────── = ──────
y \| tangent(t)\| d

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
┌─────────────────┐
│ 2 2
d = \|tangent(t)\| = │B' (t) + B' (t)
⟍│ x y
tangent (t) B' (t)
^ x x
x(t) = \| tangent (t)\| =────────────── = ──────
x \|tangent(t)\| d
tangent (t) B' (t)
^ y y
y(t) = \| tangent (t)\| = ────────────── = ──────
y \|tangent(t)\| d

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
^ \pi ^ \pi ^
normal (t) = x(t) · cos ─── - y(t) · sin ─── = - y(t)
x 2 2
^ \pi ^ \pi ^
normal (t) = \undersetquarter circle rotation \underbrace x(t) · sin ─── + y(t) · cos ─── = x(t)
y 2 2

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
^ \pi ^ \pi ^
normal (t) = x(t) · cos ─── - y(t) · sin ─── = - y(t)
x 2 2
^ \pi ^ \pi ^
normal (t) = \underset quarter circle rotation \underbrace x(t) · sin ─── + y(t) · cos ─── = x(t)
y 2 2

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
tangent (t) = B' (t)
x x
tangent (t) = B' (t)
y y