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Pomax
2020-10-18 14:27:57 -07:00
parent 133105d44e
commit 0f6683ca6d
314 changed files with 11182 additions and 266 deletions
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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
a = x · y ╮
3 2 │
b = x · y │ 2
4 2 ╞ C(t) = (-3a + 2b + 3c - d)t + (3a - b - 3c)t + (c - a)
c = x · y │
2 3 │
d = x · y │
4 3 ╯

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
2 2 2 2 2
-18 t x y + 36 t x y - 18 t x y + 18 t x y - 54 t x y
2 1 3 1 4 1 1 2 3 2
2 2 2 2 2
+36 t x y - 36 t x y + 54 t x y - 18 t x y + 18 t x y
4 2 1 3 2 3 4 3 1 4
2 2
-36 t x y + 18 t x y + 36 t x y - 54 t x y + 18 t x y - 36 t x y
2 4 3 4 2 1 3 1 4 1 1 2
+54 t x y - 18 t x y + 54 t x y - 54 t x y - 18 t x y + 18 t x y
3 2 4 2 1 3 2 3 1 4 2 4
-18 x y + 18 x y + 18 x y - 18 x y - 18 x y + 18 x y
2 1 3 1 1 2 3 2 1 3 2 3

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
C(t) = Bézier \prime(t) · Bézier \prime\prime(t) - Bézier \prime(t) · Bézier \prime\prime(t)
x y y x

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
3 2 2 3
Bézier(t) = y (1-t) + 3y (1-t) t + 3y (1-t)t + y t
1 2 3 4
\prime 2 2
Bézier (t) = d(1-t) + 2e(1-t)t + ft
\prime\prime
Bézier (t) = w(1-t) + zt

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
┌──────────┐
│ 2
x = -3a + 2b + 3c - d ╮ -y ±⟍│y - 4 x z
y = 3a - b - 3c ╞ C(t) = 0 \Rightarrow t = ─────────────────
z = c - a ╯ 2x

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
2
(3 x y +2 x y +3 x y -x y ) t + (3 x y -x y -3 x y ) t + (x y -x y )
3 2 4 2 2 3 4 3 3 2 4 2 2 3 2 3 3 2

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
C(t) = 0

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
3 2 2 3
Bézier(t) = x (1-t) + 3x (1-t) t + 3x (1-t)t + x t
1 2 3 4
\prime 2 2
Bézier (t) = a(1-t) + 2b(1-t)t + ct { a=3(x -x ),b=3(x -x ),c=3(x -x ) }
2 1 3 2 4 3
\prime\prime
Bézier (t) = u(1-t) + vt {u=2(b-a),v=2(c-b)}\