how to obtain peripheral recangle of arbitrary ellipse?












0












$begingroup$


Suppose have arbitrary ellipse with center $(x,y)$ and its radius $(a,b)$. I want obtain rectangle that sides tangent of peripheral ellipse. the below image describe issue :
enter image description here










share|cite|improve this question











$endgroup$












  • $begingroup$
    Welcome to Mathematics Stack Exchange! Take the short tour to see how how to get the most from your time here. For typesetting equations we use MathJax.
    $endgroup$
    – dantopa
    Jan 19 at 5:29






  • 2




    $begingroup$
    Related: "The locus of two perpendicular tangents to a given ellipse".
    $endgroup$
    – Blue
    Jan 19 at 5:37










  • $begingroup$
    Also: Search Math.SE for "ellipse director" to find numerous questions and answers related to an ellipse's "director circle" (the locus of points where two perpendicular tangents meet).
    $endgroup$
    – Blue
    Jan 19 at 7:17






  • 1




    $begingroup$
    See another answer of mine here.
    $endgroup$
    – Ng Chung Tak
    Jan 19 at 9:12










  • $begingroup$
    please give me more explanation to find my unknown values specified in image.
    $endgroup$
    – ali kiani
    Jan 19 at 14:59


















0












$begingroup$


Suppose have arbitrary ellipse with center $(x,y)$ and its radius $(a,b)$. I want obtain rectangle that sides tangent of peripheral ellipse. the below image describe issue :
enter image description here










share|cite|improve this question











$endgroup$












  • $begingroup$
    Welcome to Mathematics Stack Exchange! Take the short tour to see how how to get the most from your time here. For typesetting equations we use MathJax.
    $endgroup$
    – dantopa
    Jan 19 at 5:29






  • 2




    $begingroup$
    Related: "The locus of two perpendicular tangents to a given ellipse".
    $endgroup$
    – Blue
    Jan 19 at 5:37










  • $begingroup$
    Also: Search Math.SE for "ellipse director" to find numerous questions and answers related to an ellipse's "director circle" (the locus of points where two perpendicular tangents meet).
    $endgroup$
    – Blue
    Jan 19 at 7:17






  • 1




    $begingroup$
    See another answer of mine here.
    $endgroup$
    – Ng Chung Tak
    Jan 19 at 9:12










  • $begingroup$
    please give me more explanation to find my unknown values specified in image.
    $endgroup$
    – ali kiani
    Jan 19 at 14:59
















0












0








0





$begingroup$


Suppose have arbitrary ellipse with center $(x,y)$ and its radius $(a,b)$. I want obtain rectangle that sides tangent of peripheral ellipse. the below image describe issue :
enter image description here










share|cite|improve this question











$endgroup$




Suppose have arbitrary ellipse with center $(x,y)$ and its radius $(a,b)$. I want obtain rectangle that sides tangent of peripheral ellipse. the below image describe issue :
enter image description here







geometry euclidean-geometry






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 19 at 5:30









dantopa

6,46942243




6,46942243










asked Jan 19 at 5:17









ali kianiali kiani

1013




1013












  • $begingroup$
    Welcome to Mathematics Stack Exchange! Take the short tour to see how how to get the most from your time here. For typesetting equations we use MathJax.
    $endgroup$
    – dantopa
    Jan 19 at 5:29






  • 2




    $begingroup$
    Related: "The locus of two perpendicular tangents to a given ellipse".
    $endgroup$
    – Blue
    Jan 19 at 5:37










  • $begingroup$
    Also: Search Math.SE for "ellipse director" to find numerous questions and answers related to an ellipse's "director circle" (the locus of points where two perpendicular tangents meet).
    $endgroup$
    – Blue
    Jan 19 at 7:17






  • 1




    $begingroup$
    See another answer of mine here.
    $endgroup$
    – Ng Chung Tak
    Jan 19 at 9:12










  • $begingroup$
    please give me more explanation to find my unknown values specified in image.
    $endgroup$
    – ali kiani
    Jan 19 at 14:59




















  • $begingroup$
    Welcome to Mathematics Stack Exchange! Take the short tour to see how how to get the most from your time here. For typesetting equations we use MathJax.
    $endgroup$
    – dantopa
    Jan 19 at 5:29






  • 2




    $begingroup$
    Related: "The locus of two perpendicular tangents to a given ellipse".
    $endgroup$
    – Blue
    Jan 19 at 5:37










  • $begingroup$
    Also: Search Math.SE for "ellipse director" to find numerous questions and answers related to an ellipse's "director circle" (the locus of points where two perpendicular tangents meet).
    $endgroup$
    – Blue
    Jan 19 at 7:17






  • 1




    $begingroup$
    See another answer of mine here.
    $endgroup$
    – Ng Chung Tak
    Jan 19 at 9:12










  • $begingroup$
    please give me more explanation to find my unknown values specified in image.
    $endgroup$
    – ali kiani
    Jan 19 at 14:59


















$begingroup$
Welcome to Mathematics Stack Exchange! Take the short tour to see how how to get the most from your time here. For typesetting equations we use MathJax.
$endgroup$
– dantopa
Jan 19 at 5:29




$begingroup$
Welcome to Mathematics Stack Exchange! Take the short tour to see how how to get the most from your time here. For typesetting equations we use MathJax.
$endgroup$
– dantopa
Jan 19 at 5:29




2




2




$begingroup$
Related: "The locus of two perpendicular tangents to a given ellipse".
$endgroup$
– Blue
Jan 19 at 5:37




$begingroup$
Related: "The locus of two perpendicular tangents to a given ellipse".
$endgroup$
– Blue
Jan 19 at 5:37












$begingroup$
Also: Search Math.SE for "ellipse director" to find numerous questions and answers related to an ellipse's "director circle" (the locus of points where two perpendicular tangents meet).
$endgroup$
– Blue
Jan 19 at 7:17




$begingroup$
Also: Search Math.SE for "ellipse director" to find numerous questions and answers related to an ellipse's "director circle" (the locus of points where two perpendicular tangents meet).
$endgroup$
– Blue
Jan 19 at 7:17




1




1




$begingroup$
See another answer of mine here.
$endgroup$
– Ng Chung Tak
Jan 19 at 9:12




$begingroup$
See another answer of mine here.
$endgroup$
– Ng Chung Tak
Jan 19 at 9:12












$begingroup$
please give me more explanation to find my unknown values specified in image.
$endgroup$
– ali kiani
Jan 19 at 14:59






$begingroup$
please give me more explanation to find my unknown values specified in image.
$endgroup$
– ali kiani
Jan 19 at 14:59












0






active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
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: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
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
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3079045%2fhow-to-obtain-peripheral-recangle-of-arbitrary-ellipse%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics 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.


Use MathJax to format equations. MathJax reference.


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%2fmath.stackexchange.com%2fquestions%2f3079045%2fhow-to-obtain-peripheral-recangle-of-arbitrary-ellipse%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

Mario Kart Wii

The Binding of Isaac: Rebirth/Afterbirth

What does “Dominus providebit” mean?