Tangent/Normal

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

Jean Giraud

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Maths Tangent.sm (24.15 KiB) downloaded 1058 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 1073 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 847 time(s).

Analemma.sm (139.1 KiB) downloaded 1027 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 1037 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 1017 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 1015 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 1070 time(s).Adding
Normal'7.sm (54.56 KiB) downloaded 1035 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 973 time(s).
Sinus.sm (48.77 KiB) downloaded 1047 time(s).
VivianiSph.sm (37.41 KiB) downloaded 986 time(s).
VivianiTor.sm (52.14 KiB) downloaded 1061 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