Drawing a curve tangent to a line












3















I'd like to draw a set of curves, each tangent to a different point on a given line. The requirement is that the curves are convex and downward sloping.



In the following MWE, I use the to[out=<x>,in=<y>] operation to manually adjust the slope of the curves so that they appear to be tangent at the desired point. This requires a lot of trial-and-errors and the result is not ideal. Is there a better way to draw such curves?



MWE



documentclass[border=2pt,tikz]{standalone}

begin{document}

begin{tikzpicture}

  foreach i in {1,2,3,4}{

    draw[thick](0,4.5)--(7,0)coordinate[pos=i/5](i);

    fill(i)circle[radius=2pt]node[below left]{pt i};

    draw[red](i)to[out=140,in=-80]++(-1,1.5) (i)to[out=-25,in=170]++(1.25,-.4);

  }

  draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};

end{tikzpicture}

end{document}


enter image description here






tikz-pgf







share|improve this question



























    3















    I'd like to draw a set of curves, each tangent to a different point on a given line. The requirement is that the curves are convex and downward sloping.



    In the following MWE, I use the to[out=<x>,in=<y>] operation to manually adjust the slope of the curves so that they appear to be tangent at the desired point. This requires a lot of trial-and-errors and the result is not ideal. Is there a better way to draw such curves?



    MWE



    documentclass[border=2pt,tikz]{standalone}
    
begin{document}
    
begin{tikzpicture}
    
  foreach i in {1,2,3,4}{
    
    draw[thick](0,4.5)--(7,0)coordinate[pos=i/5](i);
    
    fill(i)circle[radius=2pt]node[below left]{pt i};
    
    draw[red](i)to[out=140,in=-80]++(-1,1.5) (i)to[out=-25,in=170]++(1.25,-.4);
    
  }
    
  draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
    
end{tikzpicture}
    
end{document}


    enter image description here






    tikz-pgf







    share|improve this question

























      3












      3








      3


      1






      I'd like to draw a set of curves, each tangent to a different point on a given line. The requirement is that the curves are convex and downward sloping.



      In the following MWE, I use the to[out=<x>,in=<y>] operation to manually adjust the slope of the curves so that they appear to be tangent at the desired point. This requires a lot of trial-and-errors and the result is not ideal. Is there a better way to draw such curves?



      MWE



      documentclass[border=2pt,tikz]{standalone}
      
begin{document}
      
begin{tikzpicture}
      
  foreach i in {1,2,3,4}{
      
    draw[thick](0,4.5)--(7,0)coordinate[pos=i/5](i);
      
    fill(i)circle[radius=2pt]node[below left]{pt i};
      
    draw[red](i)to[out=140,in=-80]++(-1,1.5) (i)to[out=-25,in=170]++(1.25,-.4);
      
  }
      
  draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
      
end{tikzpicture}
      
end{document}


      enter image description here






      tikz-pgf







      share|improve this question














      I'd like to draw a set of curves, each tangent to a different point on a given line. The requirement is that the curves are convex and downward sloping.



      In the following MWE, I use the to[out=<x>,in=<y>] operation to manually adjust the slope of the curves so that they appear to be tangent at the desired point. This requires a lot of trial-and-errors and the result is not ideal. Is there a better way to draw such curves?



      MWE



      documentclass[border=2pt,tikz]{standalone}
      
begin{document}
      
begin{tikzpicture}
      
  foreach i in {1,2,3,4}{
      
    draw[thick](0,4.5)--(7,0)coordinate[pos=i/5](i);
      
    fill(i)circle[radius=2pt]node[below left]{pt i};
      
    draw[red](i)to[out=140,in=-80]++(-1,1.5) (i)to[out=-25,in=170]++(1.25,-.4);
      
  }
      
  draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
      
end{tikzpicture}
      
end{document}


      enter image description here






      tikz-pgf




      tikz-pgf






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 3 hours ago









      Herr K.Herr K.

      14k43483




      14k43483






















          1 Answer
          1






          active

          oldest

          votes


















          4














          You could use decorations.marking, which transforms you automatically in tangent space. Then you just need to draw a curve which has slope 0 at (0,0).



          documentclass[border=2pt,tikz]{standalone}
          
usetikzlibrary{decorations.markings}
          
begin{document}
          
begin{tikzpicture}[touching curve at/.style={postaction=decorate,
          
decoration={markings,mark=at position #1 with 
          
{draw[touching] (-1,0.5) to[out=-45,in=180] (0,0) to[out=0,in=-135] (1,0.5);}}},
          
touching/.style={red}]
          
  draw[thick,touching curve at/.list={1/5,2/5,3/5,4/5}](0,4.5)--(7,0);
          
  draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
          
end{tikzpicture}
          
end{document}


          enter image description here






          share|improve this answer



















          • 2





            Awesome! Thank you very much!

            – Herr K.
            3 hours ago











          Your Answer








          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "85"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: false,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: null,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f475118%2fdrawing-a-curve-tangent-to-a-line%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          4














          You could use decorations.marking, which transforms you automatically in tangent space. Then you just need to draw a curve which has slope 0 at (0,0).



          documentclass[border=2pt,tikz]{standalone}
          
usetikzlibrary{decorations.markings}
          
begin{document}
          
begin{tikzpicture}[touching curve at/.style={postaction=decorate,
          
decoration={markings,mark=at position #1 with 
          
{draw[touching] (-1,0.5) to[out=-45,in=180] (0,0) to[out=0,in=-135] (1,0.5);}}},
          
touching/.style={red}]
          
  draw[thick,touching curve at/.list={1/5,2/5,3/5,4/5}](0,4.5)--(7,0);
          
  draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
          
end{tikzpicture}
          
end{document}


          enter image description here






          share|improve this answer



















          • 2





            Awesome! Thank you very much!

            – Herr K.
            3 hours ago
















          4














          You could use decorations.marking, which transforms you automatically in tangent space. Then you just need to draw a curve which has slope 0 at (0,0).



          documentclass[border=2pt,tikz]{standalone}
          
usetikzlibrary{decorations.markings}
          
begin{document}
          
begin{tikzpicture}[touching curve at/.style={postaction=decorate,
          
decoration={markings,mark=at position #1 with 
          
{draw[touching] (-1,0.5) to[out=-45,in=180] (0,0) to[out=0,in=-135] (1,0.5);}}},
          
touching/.style={red}]
          
  draw[thick,touching curve at/.list={1/5,2/5,3/5,4/5}](0,4.5)--(7,0);
          
  draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
          
end{tikzpicture}
          
end{document}


          enter image description here






          share|improve this answer



















          • 2





            Awesome! Thank you very much!

            – Herr K.
            3 hours ago














          4












          4








          4







          You could use decorations.marking, which transforms you automatically in tangent space. Then you just need to draw a curve which has slope 0 at (0,0).



          documentclass[border=2pt,tikz]{standalone}
          
usetikzlibrary{decorations.markings}
          
begin{document}
          
begin{tikzpicture}[touching curve at/.style={postaction=decorate,
          
decoration={markings,mark=at position #1 with 
          
{draw[touching] (-1,0.5) to[out=-45,in=180] (0,0) to[out=0,in=-135] (1,0.5);}}},
          
touching/.style={red}]
          
  draw[thick,touching curve at/.list={1/5,2/5,3/5,4/5}](0,4.5)--(7,0);
          
  draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
          
end{tikzpicture}
          
end{document}


          enter image description here






          share|improve this answer













          You could use decorations.marking, which transforms you automatically in tangent space. Then you just need to draw a curve which has slope 0 at (0,0).



          documentclass[border=2pt,tikz]{standalone}
          
usetikzlibrary{decorations.markings}
          
begin{document}
          
begin{tikzpicture}[touching curve at/.style={postaction=decorate,
          
decoration={markings,mark=at position #1 with 
          
{draw[touching] (-1,0.5) to[out=-45,in=180] (0,0) to[out=0,in=-135] (1,0.5);}}},
          
touching/.style={red}]
          
  draw[thick,touching curve at/.list={1/5,2/5,3/5,4/5}](0,4.5)--(7,0);
          
  draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
          
end{tikzpicture}
          
end{document}


          enter image description here







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 3 hours ago









          marmotmarmot

          100k4116223




          100k4116223








          • 2





            Awesome! Thank you very much!

            – Herr K.
            3 hours ago














          • 2





            Awesome! Thank you very much!

            – Herr K.
            3 hours ago








          2




          2





          Awesome! Thank you very much!

          – Herr K.
          3 hours ago





          Awesome! Thank you very much!

          – Herr K.
          3 hours ago


















          draft saved

          draft discarded




















































          Thanks for contributing an answer to TeX - LaTeX Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid …



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f475118%2fdrawing-a-curve-tangent-to-a-line%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          -

          Popular posts from this blog

          Ponta tanko

          Image
          Usona ponta tanko M60A1 Ponta tanko estas, simile kiel kirasita savveturilo, inter specialaj kirasitaj transportiloj. Kiel pontaj tankoj eblas konsideri ĉiujn memmovigaj rimedoj ebligantaj superi obstaklojn ĝis larĝeco 24 metroj rekte en spaco de bataloperacoj. Ties ĉefa tasko estas ebligi al la propraj taĉmentoj daŭrigi en rapida antaŭenirado sen senbezona reteniĝo. El tio pli-malpli rezultas taktikaj-teknikaj postuloj, kiujn ili devas plenumi. Precipe temas pri kapablo operacii komune kun unue-sinsekvaj taĉmentoj kaj transpontigi obstaklojn dum kelke da minutoj. This page is only for reference, If you need detailed information, please check here
          Read more

          Tantalo (mitologio)

          Image
          Ĉi tiu artikolo temas pri mitologio. Por aliaj signifoj vidu la paĝon Tantalo (apartigilo) . Tantalo , laŭ Gioacchino Assereto. Laŭ la helena mitologio, Tantalo (el la greka Τάνταλος , ŝancelanta aŭ tre malfeliĉa ) estis filo de Zeŭso kaj la oceanidino Pluto, laŭ la plej divastigata versio. Li estis reĝo de Frigio [1] aŭ de la monto Sipilo, en Lidio (Malgrandazio) [2] kaj post sia morto li suferis eternan torturadon ĉe la Tartaro, la plej profunda parto de Hadeso, rezervita por la plej perversaj homoj. Tamen, kelkaj rakontoj asertas ke li estis reĝo de Argo aŭ de Korinto [3] , aŭ ke li migris norden el la monto Sipilo por akiri la tronon de Paflagonio, el kie Ilo forpelis lin pro tio, ke Tantalo forkaptis kaj seksperfortis lian fraton Ganimedon [4] , kaj tiel ofendis la diojn. Verŝajne li ankaŭ regis urbon en okcidenta Anatolio, kiun oni nomis Tantalis [5] pro li, aŭ Sipilo , pro la monto sur kies flanko ankoraŭ staras ĝiaj ruinaĵoj [6] . Laŭ la geografiisto Strabo,...
          Read more

          Erzsébet Schaár

          Image
          Erzsébet Schaár Memportreto de Erzsébet Schaár en Pécs Personaj informoj Naskiĝo 27-an de julio 1908 ( 1908-07-27 ) en Budafok Morto 29-an de aŭgusto 1975 ( 1975-08-29 ) (67-jara) en Budapeŝto Ŝtataneco Hungario Profesio skulptisto Familianoj Edz(in)o Tibor Vilt v   •   d   •   r Erzsébet Schaár [erĵEbet ŝAr], laŭ hungarlingve kutima sinsekvo Schaár Erzsébet estis hungara skulptisto. Ŝia edzo estis Tibor Vilt. Déryné Széppataki Róza en Miskolc fare de Erzsébet Schaár Erzsébet Schaár [1] naskiĝis la 27-an de julio 1908 en Budafok, ŝi mortis la 29-an de aŭgusto 1975 en Budapeŝto. Enhavo 1 Biografio 2 Elektitaj solaj ekspozicioj 3 Elektitaj kolektivaj ekspozicioj 4 Elektitaj skulptaĵoj 5 Elektitaj disĉiploj 6 Fontoj 7 Referencoj Biografio | Erzsébet Schaár studis en Industriarta Lernejo, poste en Reĝa Belarta Altlernejo (1924-1926). Ŝia ĉefinstruisto estis Zsig...
          Read more