1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
|
/*
* tangent.maxima
*
* (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
*/
p: Y^2+X*Y - X^3 - a*X -b;
x: x1 + u * t;
y: y1 + v * t;
q: subst(x,X,p);
q: subst(y,Y,q);
q: ratsimp(expand(q));
tex(q);
tex(coeff(expand(q), t, 3));
tex(coeff(expand(q), t, 2));
tex(coeff(expand(q), t, 1));
tex(coeff(expand(q), t, 0));
qr: divide(q,t^2,t);
r: qr[2];
s: solve(qr[1] = 0, t);
tex(s);
T: subst(s, t);
U: x1+2*y1;
V: y1-3*x1^2-a;
X: subst(U, u, x);
Y: subst(V, v, y);
T: subst(U, u, T);
T: subst(V, v, T);
ratsimp(expand(T));
q: subst(U, u, q);
q: subst(V, v, q);
qr: divide(q,t^2,t);
r: qr[2];
q: qr[1];
tex(q);
tex(coeff(r, t, 3));
tex(coeff(r, t, 2));
tex(coeff(r, t, 1));
tex(coeff(r, t, 0));
subst(0,t,r);
subst(0,t,diff(r,t));
tex(r);
polydecomp(qr[2], t);
s: solve(q = 0, t);
tex(s);
/*
x3: ratsimp(expand(subst(s, -X)));
y3: ratsimp(expand(subst(s, -Y-X)));
*/
x3: ratsimp(expand(subst(s, X)));
y3: ratsimp(expand(subst(s, Y)));
tex(x3);
tex(y3);
|
