Tangent/Normal

#1 Posted: 9/15/2017 10:17:00 AM

Jean Giraud

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Maths Tangent.sm (24.15 KiB) downloaded 1248 time(s).

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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

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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: 9/15/2017 4:42:49 PM

Jean Giraud

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Superb application ! ... Thanks

#4 Posted: 10/6/2017 3:19:23 AM

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 1256 time(s).

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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

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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 1015 time(s).

Analemma.sm (139.1 KiB) downloaded 1213 time(s).

#6 Posted: 10/6/2017 4:24:24 PM

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 1233 time(s).

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Davide Carpi 10/10/2017 11:51:00 AM

#7 Posted: 10/6/2017 11:28:48 PM

Fridel Selitsky

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Fixed bug

Analemma Anim1.sm (36.26 KiB) downloaded 1224 time(s).

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Davide Carpi 10/10/2017 11:51:00 AM

#8 Posted: 10/9/2017 5:39:33 PM

Fridel Selitsky

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The tangential plane and the normal to the surface

Normal'5.sm (79.91 KiB) downloaded 1202 time(s).

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Davide Carpi 10/10/2017 11:51:00 AM

#9 Posted: 10/10/2017 4:19:26 AM

Fridel Selitsky

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Normal'8.sm (55.02 KiB) downloaded 1262 time(s).Adding
Normal'7.sm (54.56 KiB) downloaded 1257 time(s).

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Davide Carpi 10/10/2017 11:51:00 AM

#10 Posted: 4/10/2018 5:15:08 AM

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 1159 time(s).
Sinus.sm (48.77 KiB) downloaded 1234 time(s).
VivianiSph.sm (37.41 KiB) downloaded 1180 time(s).
VivianiTor.sm (52.14 KiB) downloaded 1249 time(s).

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Davide Carpi 4/11/2018 7:16:00 PM

#11 Posted: 4/10/2018 8:20:38 AM

Jean Giraud

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Thanks Ber7, saved.

#12 Posted: 4/11/2018 4:13:04 PM

Fridel Selitsky

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Lorenz attractor