Multiple Tangents in Tikz

Clash Royale CLAN TAG#URR8PPP

up vote
1
down vote

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I would like to draw an ellipse with a large number of tangents drawn on it. Currently my code is very tedious to draw a lot of tangents for and the compiling time takes considerably longer for more and more tangents. Here is my current code:

documentclass[english]article
usepackage[T1]fontenc
usepackage[latin9]luainputenc
makeatletter
usepackagetikz
usetikzlibrarydecorations.markings

makeatother

usepackagebabel
begindocument
begintikzpicture[
tangent/.style=
 decoration=
 markings,% switch on markings
 mark=
 at position #1
 with
 
 coordinate (tangent point-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,0pt);
 coordinate (tangent unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (1,0pt);
 coordinate (tangent orthogonal unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,1);
 
 ,
 postaction=decorate
,
use tangent/.style=
 shift=(tangent point-#1),
 x=(tangent unit vector-#1),
 y=(tangent orthogonal unit vector-#1)
,
use tangent/.default=1
]
 foreach x in 0,0.05,...,1.1
draw [
tangent=0,
tangent=0.1,
tangent=0.2,
tangent=0.2,
tangent=0.3,
tangent=0.4,
tangent=0.5,
tangent=0.6,
tangent=0.7,
tangent=0.8,
tangent=0.9,
tangent=1.0,
tangent=1.1,
] (-0.25,0)
 to [out=-90,in=-90] (1.25,0)
 to [out=90,in=90] (-0.25,0);
beginscope
clip (0,0) circle (1.5);
draw [thick, use tangent] (-3,0) -- (3,0);
draw [thick, use tangent=2] (-3,0) -- (3,0);
draw [thick, use tangent=3] (-3,0) -- (3,0);
draw [thick, use tangent=4] (-3,0) -- (3,0);
draw [thick, use tangent=5] (-3,0) -- (3,0);
draw [thick, use tangent=6] (-3,0) -- (3,0);
draw [thick, use tangent=7] (-3,0) -- (3,0);
draw [thick, use tangent=8] (-3,0) -- (3,0);
draw [thick, use tangent=9] (-3,0) -- (3,0);
draw [thick, use tangent=10] (-3,0) -- (3,0);
draw [thick, use tangent=11] (-3,0) -- (3,0);
endscope
draw (0,0) circle (1.5);
fill (0,0) circle (0.1) (1,0) circle (0.1);
endtikzpicture
enddocument

The code produces the following image, which is not that many tangents.

So I would like an easy way to draw more tangents around the ellipse inside the circle

tikz-pgf

share|improve this question

asked 1 hour ago

sab hoque

1,023317

add a comment | 

up vote
1
down vote

favorite

I would like to draw an ellipse with a large number of tangents drawn on it. Currently my code is very tedious to draw a lot of tangents for and the compiling time takes considerably longer for more and more tangents. Here is my current code:

documentclass[english]article
usepackage[T1]fontenc
usepackage[latin9]luainputenc
makeatletter
usepackagetikz
usetikzlibrarydecorations.markings

makeatother

usepackagebabel
begindocument
begintikzpicture[
tangent/.style=
 decoration=
 markings,% switch on markings
 mark=
 at position #1
 with
 
 coordinate (tangent point-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,0pt);
 coordinate (tangent unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (1,0pt);
 coordinate (tangent orthogonal unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,1);
 
 ,
 postaction=decorate
,
use tangent/.style=
 shift=(tangent point-#1),
 x=(tangent unit vector-#1),
 y=(tangent orthogonal unit vector-#1)
,
use tangent/.default=1
]
 foreach x in 0,0.05,...,1.1
draw [
tangent=0,
tangent=0.1,
tangent=0.2,
tangent=0.2,
tangent=0.3,
tangent=0.4,
tangent=0.5,
tangent=0.6,
tangent=0.7,
tangent=0.8,
tangent=0.9,
tangent=1.0,
tangent=1.1,
] (-0.25,0)
 to [out=-90,in=-90] (1.25,0)
 to [out=90,in=90] (-0.25,0);
beginscope
clip (0,0) circle (1.5);
draw [thick, use tangent] (-3,0) -- (3,0);
draw [thick, use tangent=2] (-3,0) -- (3,0);
draw [thick, use tangent=3] (-3,0) -- (3,0);
draw [thick, use tangent=4] (-3,0) -- (3,0);
draw [thick, use tangent=5] (-3,0) -- (3,0);
draw [thick, use tangent=6] (-3,0) -- (3,0);
draw [thick, use tangent=7] (-3,0) -- (3,0);
draw [thick, use tangent=8] (-3,0) -- (3,0);
draw [thick, use tangent=9] (-3,0) -- (3,0);
draw [thick, use tangent=10] (-3,0) -- (3,0);
draw [thick, use tangent=11] (-3,0) -- (3,0);
endscope
draw (0,0) circle (1.5);
fill (0,0) circle (0.1) (1,0) circle (0.1);
endtikzpicture
enddocument

The code produces the following image, which is not that many tangents.

So I would like an easy way to draw more tangents around the ellipse inside the circle

tikz-pgf

share|improve this question

asked 1 hour ago

sab hoque

1,023317

add a comment | 

up vote
1
down vote

favorite

up vote
1
down vote

favorite

I would like to draw an ellipse with a large number of tangents drawn on it. Currently my code is very tedious to draw a lot of tangents for and the compiling time takes considerably longer for more and more tangents. Here is my current code:

documentclass[english]article
usepackage[T1]fontenc
usepackage[latin9]luainputenc
makeatletter
usepackagetikz
usetikzlibrarydecorations.markings

makeatother

usepackagebabel
begindocument
begintikzpicture[
tangent/.style=
 decoration=
 markings,% switch on markings
 mark=
 at position #1
 with
 
 coordinate (tangent point-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,0pt);
 coordinate (tangent unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (1,0pt);
 coordinate (tangent orthogonal unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,1);
 
 ,
 postaction=decorate
,
use tangent/.style=
 shift=(tangent point-#1),
 x=(tangent unit vector-#1),
 y=(tangent orthogonal unit vector-#1)
,
use tangent/.default=1
]
 foreach x in 0,0.05,...,1.1
draw [
tangent=0,
tangent=0.1,
tangent=0.2,
tangent=0.2,
tangent=0.3,
tangent=0.4,
tangent=0.5,
tangent=0.6,
tangent=0.7,
tangent=0.8,
tangent=0.9,
tangent=1.0,
tangent=1.1,
] (-0.25,0)
 to [out=-90,in=-90] (1.25,0)
 to [out=90,in=90] (-0.25,0);
beginscope
clip (0,0) circle (1.5);
draw [thick, use tangent] (-3,0) -- (3,0);
draw [thick, use tangent=2] (-3,0) -- (3,0);
draw [thick, use tangent=3] (-3,0) -- (3,0);
draw [thick, use tangent=4] (-3,0) -- (3,0);
draw [thick, use tangent=5] (-3,0) -- (3,0);
draw [thick, use tangent=6] (-3,0) -- (3,0);
draw [thick, use tangent=7] (-3,0) -- (3,0);
draw [thick, use tangent=8] (-3,0) -- (3,0);
draw [thick, use tangent=9] (-3,0) -- (3,0);
draw [thick, use tangent=10] (-3,0) -- (3,0);
draw [thick, use tangent=11] (-3,0) -- (3,0);
endscope
draw (0,0) circle (1.5);
fill (0,0) circle (0.1) (1,0) circle (0.1);
endtikzpicture
enddocument

The code produces the following image, which is not that many tangents.

So I would like an easy way to draw more tangents around the ellipse inside the circle

tikz-pgf

share|improve this question

asked 1 hour ago

sab hoque

1,023317

I would like to draw an ellipse with a large number of tangents drawn on it. Currently my code is very tedious to draw a lot of tangents for and the compiling time takes considerably longer for more and more tangents. Here is my current code:

documentclass[english]article
usepackage[T1]fontenc
usepackage[latin9]luainputenc
makeatletter
usepackagetikz
usetikzlibrarydecorations.markings

makeatother

usepackagebabel
begindocument
begintikzpicture[
tangent/.style=
 decoration=
 markings,% switch on markings
 mark=
 at position #1
 with
 
 coordinate (tangent point-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,0pt);
 coordinate (tangent unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (1,0pt);
 coordinate (tangent orthogonal unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,1);
 
 ,
 postaction=decorate
,
use tangent/.style=
 shift=(tangent point-#1),
 x=(tangent unit vector-#1),
 y=(tangent orthogonal unit vector-#1)
,
use tangent/.default=1
]
 foreach x in 0,0.05,...,1.1
draw [
tangent=0,
tangent=0.1,
tangent=0.2,
tangent=0.2,
tangent=0.3,
tangent=0.4,
tangent=0.5,
tangent=0.6,
tangent=0.7,
tangent=0.8,
tangent=0.9,
tangent=1.0,
tangent=1.1,
] (-0.25,0)
 to [out=-90,in=-90] (1.25,0)
 to [out=90,in=90] (-0.25,0);
beginscope
clip (0,0) circle (1.5);
draw [thick, use tangent] (-3,0) -- (3,0);
draw [thick, use tangent=2] (-3,0) -- (3,0);
draw [thick, use tangent=3] (-3,0) -- (3,0);
draw [thick, use tangent=4] (-3,0) -- (3,0);
draw [thick, use tangent=5] (-3,0) -- (3,0);
draw [thick, use tangent=6] (-3,0) -- (3,0);
draw [thick, use tangent=7] (-3,0) -- (3,0);
draw [thick, use tangent=8] (-3,0) -- (3,0);
draw [thick, use tangent=9] (-3,0) -- (3,0);
draw [thick, use tangent=10] (-3,0) -- (3,0);
draw [thick, use tangent=11] (-3,0) -- (3,0);
endscope
draw (0,0) circle (1.5);
fill (0,0) circle (0.1) (1,0) circle (0.1);
endtikzpicture
enddocument

The code produces the following image, which is not that many tangents.

So I would like an easy way to draw more tangents around the ellipse inside the circle

tikz-pgf

tikz-pgf

share|improve this question

asked 1 hour ago

sab hoque

1,023317

share|improve this question

asked 1 hour ago

sab hoque

1,023317

share|improve this question

share|improve this question

asked 1 hour ago

sab hoque

1,023317

asked 1 hour ago

sab hoque

1,023317

asked 1 hour ago

sab hoque

1,023317

1,023317

add a comment | 

add a comment | 

1 Answer
1

active

oldest

votes

up vote
4
down vote



accepted

With a bit of code reorganisation ;)

documentclass[english]article
usepackage[T1]fontenc
usepackage[latin9]luainputenc
makeatletter
usepackagetikz
usetikzlibrarydecorations.markings

makeatother

usepackagebabel
begindocument
begintikzpicture[
tangent/.style=
 decoration=
 markings,% switch on markings
 mark=
 at position #1
 with
 
 coordinate (tangent point-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,0pt);
 coordinate (tangent unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (1,0pt);
 coordinate (tangent orthogonal unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,1);
 
 ,
 postaction=decorate
,
use tangent/.style=
 shift=(tangent point-#1),
 x=(tangent unit vector-#1),
 y=(tangent orthogonal unit vector-#1)
,
use tangent/.default=1
]
beginscope
clip (0,0) circle (1.5);
foreach x in 0,0.02,...,1.1
draw [tangent=x] (-0.25,0) to [out=-90,in=-90] (1.25,0) to [out=90,in=90] (-0.25,0);
draw [thick, use tangent] (-3,0) -- (3,0);

endscope
draw (0,0) circle (1.5);
fill (0,0) circle (0.1) (1,0) circle (0.1);
endtikzpicture
enddocument

share|improve this answer

edited 46 mins ago

answered 1 hour ago

BambOo

2,632323

add a comment | 

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1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
4
down vote



accepted

With a bit of code reorganisation ;)

documentclass[english]article
usepackage[T1]fontenc
usepackage[latin9]luainputenc
makeatletter
usepackagetikz
usetikzlibrarydecorations.markings

makeatother

usepackagebabel
begindocument
begintikzpicture[
tangent/.style=
 decoration=
 markings,% switch on markings
 mark=
 at position #1
 with
 
 coordinate (tangent point-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,0pt);
 coordinate (tangent unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (1,0pt);
 coordinate (tangent orthogonal unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,1);
 
 ,
 postaction=decorate
,
use tangent/.style=
 shift=(tangent point-#1),
 x=(tangent unit vector-#1),
 y=(tangent orthogonal unit vector-#1)
,
use tangent/.default=1
]
beginscope
clip (0,0) circle (1.5);
foreach x in 0,0.02,...,1.1
draw [tangent=x] (-0.25,0) to [out=-90,in=-90] (1.25,0) to [out=90,in=90] (-0.25,0);
draw [thick, use tangent] (-3,0) -- (3,0);

endscope
draw (0,0) circle (1.5);
fill (0,0) circle (0.1) (1,0) circle (0.1);
endtikzpicture
enddocument

share|improve this answer

edited 46 mins ago

answered 1 hour ago

BambOo

2,632323

add a comment | 

up vote
4
down vote



accepted

With a bit of code reorganisation ;)

documentclass[english]article
usepackage[T1]fontenc
usepackage[latin9]luainputenc
makeatletter
usepackagetikz
usetikzlibrarydecorations.markings

makeatother

usepackagebabel
begindocument
begintikzpicture[
tangent/.style=
 decoration=
 markings,% switch on markings
 mark=
 at position #1
 with
 
 coordinate (tangent point-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,0pt);
 coordinate (tangent unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (1,0pt);
 coordinate (tangent orthogonal unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,1);
 
 ,
 postaction=decorate
,
use tangent/.style=
 shift=(tangent point-#1),
 x=(tangent unit vector-#1),
 y=(tangent orthogonal unit vector-#1)
,
use tangent/.default=1
]
beginscope
clip (0,0) circle (1.5);
foreach x in 0,0.02,...,1.1
draw [tangent=x] (-0.25,0) to [out=-90,in=-90] (1.25,0) to [out=90,in=90] (-0.25,0);
draw [thick, use tangent] (-3,0) -- (3,0);

endscope
draw (0,0) circle (1.5);
fill (0,0) circle (0.1) (1,0) circle (0.1);
endtikzpicture
enddocument

share|improve this answer

edited 46 mins ago

answered 1 hour ago

BambOo

2,632323

add a comment | 

up vote
4
down vote



accepted

up vote
4
down vote



accepted

With a bit of code reorganisation ;)

documentclass[english]article
usepackage[T1]fontenc
usepackage[latin9]luainputenc
makeatletter
usepackagetikz
usetikzlibrarydecorations.markings

makeatother

usepackagebabel
begindocument
begintikzpicture[
tangent/.style=
 decoration=
 markings,% switch on markings
 mark=
 at position #1
 with
 
 coordinate (tangent point-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,0pt);
 coordinate (tangent unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (1,0pt);
 coordinate (tangent orthogonal unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,1);
 
 ,
 postaction=decorate
,
use tangent/.style=
 shift=(tangent point-#1),
 x=(tangent unit vector-#1),
 y=(tangent orthogonal unit vector-#1)
,
use tangent/.default=1
]
beginscope
clip (0,0) circle (1.5);
foreach x in 0,0.02,...,1.1
draw [tangent=x] (-0.25,0) to [out=-90,in=-90] (1.25,0) to [out=90,in=90] (-0.25,0);
draw [thick, use tangent] (-3,0) -- (3,0);

endscope
draw (0,0) circle (1.5);
fill (0,0) circle (0.1) (1,0) circle (0.1);
endtikzpicture
enddocument

share|improve this answer

edited 46 mins ago

answered 1 hour ago

BambOo

2,632323

With a bit of code reorganisation ;)

documentclass[english]article
usepackage[T1]fontenc
usepackage[latin9]luainputenc
makeatletter
usepackagetikz
usetikzlibrarydecorations.markings

makeatother

usepackagebabel
begindocument
begintikzpicture[
tangent/.style=
 decoration=
 markings,% switch on markings
 mark=
 at position #1
 with
 
 coordinate (tangent point-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,0pt);
 coordinate (tangent unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (1,0pt);
 coordinate (tangent orthogonal unit vector-pgfkeysvalueof/pgf/decoration/mark info/sequence number) at (0pt,1);
 
 ,
 postaction=decorate
,
use tangent/.style=
 shift=(tangent point-#1),
 x=(tangent unit vector-#1),
 y=(tangent orthogonal unit vector-#1)
,
use tangent/.default=1
]
beginscope
clip (0,0) circle (1.5);
foreach x in 0,0.02,...,1.1
draw [tangent=x] (-0.25,0) to [out=-90,in=-90] (1.25,0) to [out=90,in=90] (-0.25,0);
draw [thick, use tangent] (-3,0) -- (3,0);

endscope
draw (0,0) circle (1.5);
fill (0,0) circle (0.1) (1,0) circle (0.1);
endtikzpicture
enddocument

share|improve this answer

edited 46 mins ago

answered 1 hour ago

BambOo

2,632323

share|improve this answer

share|improve this answer

edited 46 mins ago

edited 46 mins ago

edited 46 mins ago

answered 1 hour ago

BambOo

2,632323

answered 1 hour ago

BambOo

2,632323

answered 1 hour ago

BambOo

2,632323

2,632323

add a comment | 

add a comment | 

 

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