Tangent/Normal

#1 Posted: 2017/9/15 10:17:00

Jean Giraud

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Maths Tangent.sm (24.15 KiB) downloaded 1163 time(s).

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Davide Carpi 2017/10/6 04:53:00, Andrey Ivashov 2017/9/15 10:51:00

#2 Posted: 2017/9/15 12:28:29

алексей

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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: 2017/9/15 16:42:49

Jean Giraud

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Superb application ! ... Thanks

#4 Posted: 2017/10/6 03:19:23

Fridel Selitsky

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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 1175 time(s).

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Davide Carpi 2017/10/6 04:53:00, Oscar Campo 2017/10/6 21:30:00

#5 Posted: 2017/10/6 11:04:20

Jean Giraud

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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 932 time(s).

Analemma.sm (139.1 KiB) downloaded 1122 time(s).

#6 Posted: 2017/10/6 16:24:24

Fridel Selitsky

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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 1144 time(s).

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Davide Carpi 2017/10/10 11:51:00

#7 Posted: 2017/10/6 23:28:48

Fridel Selitsky

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Fixed bug

Analemma Anim1.sm (36.26 KiB) downloaded 1134 time(s).

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Davide Carpi 2017/10/10 11:51:00

#8 Posted: 2017/10/9 17:39:33

Fridel Selitsky

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The tangential plane and the normal to the surface

Normal'5.sm (79.91 KiB) downloaded 1124 time(s).

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Davide Carpi 2017/10/10 11:51:00

#9 Posted: 2017/10/10 04:19:26

Fridel Selitsky

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Normal'8.sm (55.02 KiB) downloaded 1175 time(s).Adding
Normal'7.sm (54.56 KiB) downloaded 1174 time(s).

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Davide Carpi 2017/10/10 11:51:00

#10 Posted: 2018/4/10 05:15:08

Fridel Selitsky

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

Spiral2.sm (36.43 KiB) downloaded 1076 time(s).
Sinus.sm (48.77 KiB) downloaded 1149 time(s).
VivianiSph.sm (37.41 KiB) downloaded 1087 time(s).
VivianiTor.sm (52.14 KiB) downloaded 1164 time(s).

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Davide Carpi 2018/4/11 19:16:00

#11 Posted: 2018/4/10 08:20:38

Jean Giraud

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Thanks Ber7, saved.

#12 Posted: 2018/4/11 16:13:04

Fridel Selitsky

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Lorenz attractor