Geodesic curvature
Multi tool use
$begingroup$
Clairaut’s theorem. How to prove that geodesic curvature parallel Radius of the surface of revolution (i. e the value inversed to geodesic curvature) is equal to tangential line segment and meridian closed between the point of tangency and surface axis.enter image description here
I know that I should use the Clairaut's theorem.But I have no idea how to prove it. Can you help me to prove this?
differential-geometry
asked Jan 1 at 16:59
Gera SlanovaGera Slanova
553
$endgroup$
add a comment |
$begingroup$
Clairaut’s theorem. How to prove that geodesic curvature parallel Radius of the surface of revolution (i. e the value inversed to geodesic curvature) is equal to tangential line segment and meridian closed between the point of tangency and surface axis.enter image description here
I know that I should use the Clairaut's theorem.But I have no idea how to prove it. Can you help me to prove this?
differential-geometry
asked Jan 1 at 16:59
Gera SlanovaGera Slanova
553
$endgroup$
add a comment |
$begingroup$
Clairaut’s theorem. How to prove that geodesic curvature parallel Radius of the surface of revolution (i. e the value inversed to geodesic curvature) is equal to tangential line segment and meridian closed between the point of tangency and surface axis.enter image description here
I know that I should use the Clairaut's theorem.But I have no idea how to prove it. Can you help me to prove this?
differential-geometry
asked Jan 1 at 16:59
Gera SlanovaGera Slanova
553
$endgroup$
Clairaut’s theorem. How to prove that geodesic curvature parallel Radius of the surface of revolution (i. e the value inversed to geodesic curvature) is equal to tangential line segment and meridian closed between the point of tangency and surface axis.enter image description here
I know that I should use the Clairaut's theorem.But I have no idea how to prove it. Can you help me to prove this?
differential-geometry
differential-geometry
asked Jan 1 at 16:59
Gera SlanovaGera Slanova
553
asked Jan 1 at 16:59
Gera SlanovaGera Slanova
553
asked Jan 1 at 16:59
Gera SlanovaGera Slanova
553
asked Jan 1 at 16:59
Gera SlanovaGera Slanova
553
asked Jan 1 at 16:59
Gera SlanovaGera Slanova
553
553
add a comment |
add a comment |
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
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3058654%2fgeodesic-curvature%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
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.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3058654%2fgeodesic-curvature%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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
1fYl1 jc95 1PewYg30Waq,zF6ajz27uY9Qz HYw4PrgeS9lRmz8ZMw54WJC
