Mixing
History of squaring the circle
$begingroup$
I'd like to know the main attempts in history to prove the squaring the circle. Do you know a good book or link where I can find a schematical and methodical description of the history of this problem? Thank you
geometry reference-request math-history
edited Apr 10 '17 at 17:25
pjs36
15.9k32963
asked Apr 10 '17 at 15:07
xyztxyzt
10814
$endgroup$
add a comment |
$begingroup$
I'd like to know the main attempts in history to prove the squaring the circle. Do you know a good book or link where I can find a schematical and methodical description of the history of this problem? Thank you
geometry reference-request math-history
edited Apr 10 '17 at 17:25
pjs36
15.9k32963
asked Apr 10 '17 at 15:07
xyztxyzt
10814
$endgroup$
1
$begingroup$
See Wiki's entry with references and Ernest William Hobson, (1913) Squaring the Circle: A History of the Problem Cambridge University Press.
$endgroup$
– Mauro ALLEGRANZA
Apr 10 '17 at 15:22
$begingroup$
Really good advice!
$endgroup$
– xyzt
Apr 10 '17 at 15:28
add a comment |
$begingroup$
I'd like to know the main attempts in history to prove the squaring the circle. Do you know a good book or link where I can find a schematical and methodical description of the history of this problem? Thank you
geometry reference-request math-history
edited Apr 10 '17 at 17:25
pjs36
15.9k32963
asked Apr 10 '17 at 15:07
xyztxyzt
10814
$endgroup$
I'd like to know the main attempts in history to prove the squaring the circle. Do you know a good book or link where I can find a schematical and methodical description of the history of this problem? Thank you
geometry reference-request math-history
geometry reference-request math-history
edited Apr 10 '17 at 17:25
pjs36
15.9k32963
asked Apr 10 '17 at 15:07
xyztxyzt
10814
edited Apr 10 '17 at 17:25
pjs36
15.9k32963
asked Apr 10 '17 at 15:07
xyztxyzt
10814
edited Apr 10 '17 at 17:25
pjs36
15.9k32963
edited Apr 10 '17 at 17:25
pjs36
15.9k32963
edited Apr 10 '17 at 17:25
pjs36
15.9k32963
15.9k32963
asked Apr 10 '17 at 15:07
xyztxyzt
10814
asked Apr 10 '17 at 15:07
xyztxyzt
10814
asked Apr 10 '17 at 15:07
xyztxyzt
10814
10814
1
$begingroup$
See Wiki's entry with references and Ernest William Hobson, (1913) Squaring the Circle: A History of the Problem Cambridge University Press.
$endgroup$
– Mauro ALLEGRANZA
Apr 10 '17 at 15:22
$begingroup$
Really good advice!
$endgroup$
– xyzt
Apr 10 '17 at 15:28
add a comment |
1
$begingroup$
See Wiki's entry with references and Ernest William Hobson, (1913) Squaring the Circle: A History of the Problem Cambridge University Press.
$endgroup$
– Mauro ALLEGRANZA
Apr 10 '17 at 15:22
$begingroup$
Really good advice!
$endgroup$
– xyzt
Apr 10 '17 at 15:28
1
1
$begingroup$
See Wiki's entry with references and Ernest William Hobson, (1913) Squaring the Circle: A History of the Problem Cambridge University Press.
$endgroup$
– Mauro ALLEGRANZA
Apr 10 '17 at 15:22
$begingroup$
See Wiki's entry with references and Ernest William Hobson, (1913) Squaring the Circle: A History of the Problem Cambridge University Press.
$endgroup$
– Mauro ALLEGRANZA
Apr 10 '17 at 15:22
$begingroup$
Really good advice!
$endgroup$
– xyzt
Apr 10 '17 at 15:28
$begingroup$
Really good advice!
$endgroup$
– xyzt
Apr 10 '17 at 15:28
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
Perhaps, this is the best link I can provide : A video by Numberphile
- Squaring the Circle
answered Apr 10 '17 at 15:12
Jaideep KhareJaideep Khare
17.8k32669
$endgroup$
$begingroup$
Really interesting YouTube channel!
$endgroup$
– xyzt
Apr 10 '17 at 15:24
1
$begingroup$
@xyzt I too am big fan of this channel. You must subscribe to it. Their videos are worth watching.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 15:31
$begingroup$
Well .. sometimes numberphile is mind blowing and sometimes it is just :-( . I would say that for a short description of Any maths topic numberphile is good. +1
$endgroup$
– Vidyanshu Mishra
Apr 10 '17 at 17:58
$begingroup$
@Thelonewolfisbackbaby... I read your bio.. did you appear for JEE, or what are your plans? IISC?IISER? I am from Indore,M.P. and in 11th standard.I am also planning to do something in mathematics.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 19:04
$begingroup$
Well... I will appear for JEE next year ... I m in class 12 right now. Most of my time is consumed in doing maths so iisc will be my first choice.
$endgroup$
– Vidyanshu Mishra
Apr 11 '17 at 15:59
|
show 8 more comments
$begingroup$
A classical resource is E. W. Hobson's book Squaring the circle. A history of the problem. It was published in 1913, so it is a bit outdated from the viewpoint of historical methodology, but it has the advantage of covering the topic broadly from antiquity to the end of the 19th century. I find it mathematically accurate, and the choice of the episodes analyzed is not trivial (for example, you can find there a fine discussion of the not-so-well known solution given by Descartes). Moreover, Hobson wrote the book only a few decades after the first rigorous proofs of the transcendence of $pi$, which perhaps explains his interest for the history of the quadrature of the circle. A more recent and very fine study is P. Eymard and J. P. Laffont's book Autour du nombre $pi$. This beautiful book is mathematically more engaging than Hobson's, but well worth reading. I have just realized that there is an English edition too.
These books do not deal with the flawed attempts to square the circle, which were countless in history. For this topic, you can consult Marie Jacob's book, which is available, I am afraid, only in French.
answered Feb 3 at 10:02
DavideCDavideC
335
$endgroup$
add a comment |
Your Answer
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%2f2227816%2fhistory-of-squaring-the-circle%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Perhaps, this is the best link I can provide : A video by Numberphile
- Squaring the Circle
answered Apr 10 '17 at 15:12
Jaideep KhareJaideep Khare
17.8k32669
$endgroup$
$begingroup$
Really interesting YouTube channel!
$endgroup$
– xyzt
Apr 10 '17 at 15:24
1
$begingroup$
@xyzt I too am big fan of this channel. You must subscribe to it. Their videos are worth watching.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 15:31
$begingroup$
Well .. sometimes numberphile is mind blowing and sometimes it is just :-( . I would say that for a short description of Any maths topic numberphile is good. +1
$endgroup$
– Vidyanshu Mishra
Apr 10 '17 at 17:58
$begingroup$
@Thelonewolfisbackbaby... I read your bio.. did you appear for JEE, or what are your plans? IISC?IISER? I am from Indore,M.P. and in 11th standard.I am also planning to do something in mathematics.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 19:04
$begingroup$
Well... I will appear for JEE next year ... I m in class 12 right now. Most of my time is consumed in doing maths so iisc will be my first choice.
$endgroup$
– Vidyanshu Mishra
Apr 11 '17 at 15:59
|
show 8 more comments
$begingroup$
Perhaps, this is the best link I can provide : A video by Numberphile
- Squaring the Circle
answered Apr 10 '17 at 15:12
Jaideep KhareJaideep Khare
17.8k32669
$endgroup$
$begingroup$
Really interesting YouTube channel!
$endgroup$
– xyzt
Apr 10 '17 at 15:24
1
$begingroup$
@xyzt I too am big fan of this channel. You must subscribe to it. Their videos are worth watching.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 15:31
$begingroup$
Well .. sometimes numberphile is mind blowing and sometimes it is just :-( . I would say that for a short description of Any maths topic numberphile is good. +1
$endgroup$
– Vidyanshu Mishra
Apr 10 '17 at 17:58
$begingroup$
@Thelonewolfisbackbaby... I read your bio.. did you appear for JEE, or what are your plans? IISC?IISER? I am from Indore,M.P. and in 11th standard.I am also planning to do something in mathematics.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 19:04
$begingroup$
Well... I will appear for JEE next year ... I m in class 12 right now. Most of my time is consumed in doing maths so iisc will be my first choice.
$endgroup$
– Vidyanshu Mishra
Apr 11 '17 at 15:59
|
show 8 more comments
$begingroup$
Perhaps, this is the best link I can provide : A video by Numberphile
- Squaring the Circle
answered Apr 10 '17 at 15:12
Jaideep KhareJaideep Khare
17.8k32669
$endgroup$
Perhaps, this is the best link I can provide : A video by Numberphile
- Squaring the Circle
answered Apr 10 '17 at 15:12
Jaideep KhareJaideep Khare
17.8k32669
answered Apr 10 '17 at 15:12
Jaideep KhareJaideep Khare
17.8k32669
answered Apr 10 '17 at 15:12
Jaideep KhareJaideep Khare
17.8k32669
answered Apr 10 '17 at 15:12
Jaideep KhareJaideep Khare
17.8k32669
17.8k32669
$begingroup$
Really interesting YouTube channel!
$endgroup$
– xyzt
Apr 10 '17 at 15:24
1
$begingroup$
@xyzt I too am big fan of this channel. You must subscribe to it. Their videos are worth watching.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 15:31
$begingroup$
Well .. sometimes numberphile is mind blowing and sometimes it is just :-( . I would say that for a short description of Any maths topic numberphile is good. +1
$endgroup$
– Vidyanshu Mishra
Apr 10 '17 at 17:58
$begingroup$
@Thelonewolfisbackbaby... I read your bio.. did you appear for JEE, or what are your plans? IISC?IISER? I am from Indore,M.P. and in 11th standard.I am also planning to do something in mathematics.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 19:04
$begingroup$
Well... I will appear for JEE next year ... I m in class 12 right now. Most of my time is consumed in doing maths so iisc will be my first choice.
$endgroup$
– Vidyanshu Mishra
Apr 11 '17 at 15:59
|
show 8 more comments
$begingroup$
Really interesting YouTube channel!
$endgroup$
– xyzt
Apr 10 '17 at 15:24
1
$begingroup$
@xyzt I too am big fan of this channel. You must subscribe to it. Their videos are worth watching.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 15:31
$begingroup$
Well .. sometimes numberphile is mind blowing and sometimes it is just :-( . I would say that for a short description of Any maths topic numberphile is good. +1
$endgroup$
– Vidyanshu Mishra
Apr 10 '17 at 17:58
$begingroup$
@Thelonewolfisbackbaby... I read your bio.. did you appear for JEE, or what are your plans? IISC?IISER? I am from Indore,M.P. and in 11th standard.I am also planning to do something in mathematics.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 19:04
$begingroup$
Well... I will appear for JEE next year ... I m in class 12 right now. Most of my time is consumed in doing maths so iisc will be my first choice.
$endgroup$
– Vidyanshu Mishra
Apr 11 '17 at 15:59
$begingroup$
Really interesting YouTube channel!
$endgroup$
– xyzt
Apr 10 '17 at 15:24
$begingroup$
Really interesting YouTube channel!
$endgroup$
– xyzt
Apr 10 '17 at 15:24
1
1
$begingroup$
@xyzt I too am big fan of this channel. You must subscribe to it. Their videos are worth watching.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 15:31
$begingroup$
@xyzt I too am big fan of this channel. You must subscribe to it. Their videos are worth watching.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 15:31
$begingroup$
Well .. sometimes numberphile is mind blowing and sometimes it is just :-( . I would say that for a short description of Any maths topic numberphile is good. +1
$endgroup$
– Vidyanshu Mishra
Apr 10 '17 at 17:58
$begingroup$
Well .. sometimes numberphile is mind blowing and sometimes it is just :-( . I would say that for a short description of Any maths topic numberphile is good. +1
$endgroup$
– Vidyanshu Mishra
Apr 10 '17 at 17:58
$begingroup$
@Thelonewolfisbackbaby... I read your bio.. did you appear for JEE, or what are your plans? IISC?IISER? I am from Indore,M.P. and in 11th standard.I am also planning to do something in mathematics.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 19:04
$begingroup$
@Thelonewolfisbackbaby... I read your bio.. did you appear for JEE, or what are your plans? IISC?IISER? I am from Indore,M.P. and in 11th standard.I am also planning to do something in mathematics.
$endgroup$
– Jaideep Khare
Apr 10 '17 at 19:04
$begingroup$
Well... I will appear for JEE next year ... I m in class 12 right now. Most of my time is consumed in doing maths so iisc will be my first choice.
$endgroup$
– Vidyanshu Mishra
Apr 11 '17 at 15:59
$begingroup$
Well... I will appear for JEE next year ... I m in class 12 right now. Most of my time is consumed in doing maths so iisc will be my first choice.
$endgroup$
– Vidyanshu Mishra
Apr 11 '17 at 15:59
|
show 8 more comments
$begingroup$
A classical resource is E. W. Hobson's book Squaring the circle. A history of the problem. It was published in 1913, so it is a bit outdated from the viewpoint of historical methodology, but it has the advantage of covering the topic broadly from antiquity to the end of the 19th century. I find it mathematically accurate, and the choice of the episodes analyzed is not trivial (for example, you can find there a fine discussion of the not-so-well known solution given by Descartes). Moreover, Hobson wrote the book only a few decades after the first rigorous proofs of the transcendence of $pi$, which perhaps explains his interest for the history of the quadrature of the circle. A more recent and very fine study is P. Eymard and J. P. Laffont's book Autour du nombre $pi$. This beautiful book is mathematically more engaging than Hobson's, but well worth reading. I have just realized that there is an English edition too.
These books do not deal with the flawed attempts to square the circle, which were countless in history. For this topic, you can consult Marie Jacob's book, which is available, I am afraid, only in French.
answered Feb 3 at 10:02
DavideCDavideC
335
$endgroup$
add a comment |
$begingroup$
A classical resource is E. W. Hobson's book Squaring the circle. A history of the problem. It was published in 1913, so it is a bit outdated from the viewpoint of historical methodology, but it has the advantage of covering the topic broadly from antiquity to the end of the 19th century. I find it mathematically accurate, and the choice of the episodes analyzed is not trivial (for example, you can find there a fine discussion of the not-so-well known solution given by Descartes). Moreover, Hobson wrote the book only a few decades after the first rigorous proofs of the transcendence of $pi$, which perhaps explains his interest for the history of the quadrature of the circle. A more recent and very fine study is P. Eymard and J. P. Laffont's book Autour du nombre $pi$. This beautiful book is mathematically more engaging than Hobson's, but well worth reading. I have just realized that there is an English edition too.
These books do not deal with the flawed attempts to square the circle, which were countless in history. For this topic, you can consult Marie Jacob's book, which is available, I am afraid, only in French.
answered Feb 3 at 10:02
DavideCDavideC
335
$endgroup$
add a comment |
$begingroup$
A classical resource is E. W. Hobson's book Squaring the circle. A history of the problem. It was published in 1913, so it is a bit outdated from the viewpoint of historical methodology, but it has the advantage of covering the topic broadly from antiquity to the end of the 19th century. I find it mathematically accurate, and the choice of the episodes analyzed is not trivial (for example, you can find there a fine discussion of the not-so-well known solution given by Descartes). Moreover, Hobson wrote the book only a few decades after the first rigorous proofs of the transcendence of $pi$, which perhaps explains his interest for the history of the quadrature of the circle. A more recent and very fine study is P. Eymard and J. P. Laffont's book Autour du nombre $pi$. This beautiful book is mathematically more engaging than Hobson's, but well worth reading. I have just realized that there is an English edition too.
These books do not deal with the flawed attempts to square the circle, which were countless in history. For this topic, you can consult Marie Jacob's book, which is available, I am afraid, only in French.
answered Feb 3 at 10:02
DavideCDavideC
335
$endgroup$
A classical resource is E. W. Hobson's book Squaring the circle. A history of the problem. It was published in 1913, so it is a bit outdated from the viewpoint of historical methodology, but it has the advantage of covering the topic broadly from antiquity to the end of the 19th century. I find it mathematically accurate, and the choice of the episodes analyzed is not trivial (for example, you can find there a fine discussion of the not-so-well known solution given by Descartes). Moreover, Hobson wrote the book only a few decades after the first rigorous proofs of the transcendence of $pi$, which perhaps explains his interest for the history of the quadrature of the circle. A more recent and very fine study is P. Eymard and J. P. Laffont's book Autour du nombre $pi$. This beautiful book is mathematically more engaging than Hobson's, but well worth reading. I have just realized that there is an English edition too.
These books do not deal with the flawed attempts to square the circle, which were countless in history. For this topic, you can consult Marie Jacob's book, which is available, I am afraid, only in French.
answered Feb 3 at 10:02
DavideCDavideC
335
answered Feb 3 at 10:02
DavideCDavideC
335
answered Feb 3 at 10:02
DavideCDavideC
335
answered Feb 3 at 10:02
DavideCDavideC
335
335
add a comment |
add a comment |
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%2f2227816%2fhistory-of-squaring-the-circle%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
1
$begingroup$
See Wiki's entry with references and Ernest William Hobson, (1913) Squaring the Circle: A History of the Problem Cambridge University Press.
$endgroup$
– Mauro ALLEGRANZA
Apr 10 '17 at 15:22
$begingroup$
Really good advice!
$endgroup$
– xyzt
Apr 10 '17 at 15:28