Tangent/Normal

#1 Posted: 9/15/2017 10:17:00 AM

Jean Giraud

983 likes in 6,866 posts.

Group: User

Maths Tangent.sm (24.15 KiB) downloaded 1156 time(s).

2 users liked this post

Davide Carpi 10/6/2017 4:53:00 AM, Andrey Ivashov 9/15/2017 10:51:00 AM

#2 Posted: 9/15/2017 12:28:29 PM

алексей

17 likes in 78 posts.

Group: User

From Maple.
One face of the cube belongs to the tangent plane to the surface at each point of the curve.
http://www.mapleprimes.com/posts/208425-Tangent-Plane-As-The-Square-At-Any-Point-Of-A-Smooth-Surface-#comment202577

#3 Posted: 9/15/2017 4:42:49 PM

Jean Giraud

983 likes in 6,866 posts.

Group: User

Superb application ! ... Thanks

#4 Posted: 10/6/2017 3:19:23 AM

Fridel Selitsky

520 likes in 451 posts.

Group: User

The tangent to the curve and the normal to the surface
The curve is given as the intersection line of two surfaces f1 and f2.
It can be seen that the normal to the sphere passes through its center.

Normal'4.sm (52.09 KiB) downloaded 1165 time(s).

2 users liked this post

Davide Carpi 10/6/2017 4:53:00 AM, Oscar Campo 10/6/2017 9:30:00 PM

#5 Posted: 10/6/2017 11:04:20 AM

Jean Giraud

983 likes in 6,866 posts.

Group: User

Thanks for that one, added in dedicated file.
BTW, thanks for your latest meshed Torus, nice.
I was wondering if you can animate two more:

1. Add a point on Analemma wrapped on the sphere, animate the point ?
2. Animate [slide] the Advection on the graph ? Very nice in Mathcad !

Cheers, Thanks in advance: Jean

Solve Tridiagonal [ADVECTION].sm (56.63 KiB) downloaded 926 time(s).

Analemma.sm (139.1 KiB) downloaded 1114 time(s).

#6 Posted: 10/6/2017 4:24:24 PM

Fridel Selitsky

520 likes in 451 posts.

Group: User

Flat animation we have already done:
https://en.smath.info/forum/resource.ashx?a=14479&b=2

One of the variants on the sphere.Unfortunately, the graph looks flat.

Analemma Anim.sm (31.07 KiB) downloaded 1134 time(s).

1 users liked this post

Davide Carpi 10/10/2017 11:51:00 AM

#7 Posted: 10/6/2017 11:28:48 PM

Fridel Selitsky

520 likes in 451 posts.

Group: User

Fixed bug

Analemma Anim1.sm (36.26 KiB) downloaded 1124 time(s).

1 users liked this post

Davide Carpi 10/10/2017 11:51:00 AM

#8 Posted: 10/9/2017 5:39:33 PM

Fridel Selitsky

520 likes in 451 posts.

Group: User

The tangential plane and the normal to the surface

Normal'5.sm (79.91 KiB) downloaded 1115 time(s).

1 users liked this post

Davide Carpi 10/10/2017 11:51:00 AM

#9 Posted: 10/10/2017 4:19:26 AM

Fridel Selitsky

520 likes in 451 posts.

Group: User

Normal'8.sm (55.02 KiB) downloaded 1164 time(s).Adding
Normal'7.sm (54.56 KiB) downloaded 1164 time(s).

1 users liked this post

Davide Carpi 10/10/2017 11:51:00 AM

#10 Posted: 4/10/2018 5:15:08 AM

Fridel Selitsky

520 likes in 451 posts.

Group: User

Tangent, normal and binormal vectors
Curves can be specified parametrically, algebraically or by a coordinate matrix

Spiral2.sm (36.43 KiB) downloaded 1065 time(s).
Sinus.sm (48.77 KiB) downloaded 1143 time(s).
VivianiSph.sm (37.41 KiB) downloaded 1079 time(s).
VivianiTor.sm (52.14 KiB) downloaded 1157 time(s).

1 users liked this post

Davide Carpi 4/11/2018 7:16:00 PM

#11 Posted: 4/10/2018 8:20:38 AM

Jean Giraud

983 likes in 6,866 posts.

Group: User

Thanks Ber7, saved.

#12 Posted: 4/11/2018 4:13:04 PM

Fridel Selitsky

520 likes in 451 posts.

Group: User

Lorenz attractor