Thales theorem - using euclidien axioms [closed]












2












$begingroup$


I wonder if it possible to prove the Thales theorem only with Euclidean axioms.
what do you think?






euclidean-geometry







share|cite|improve this question









$endgroup$



closed as off-topic by Saad, Paul Frost, user91500, ancientmathematician, Adrian Keister Jan 3 at 13:38


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Paul Frost, user91500, ancientmathematician, Adrian Keister

If this question can be reworded to fit the rules in the help center, please edit the question.












  • 1




    $begingroup$
    Euclid's original axioms are flawed (even in his first theorem, Euclid himself has to use assumptions not based on his own axioms). While the idea behind them has been tremendously important to mathematics throughout millennia, to use them directly in this modern age would, in my opinion, not be a good idea.
    $endgroup$
    – Arthur
    Jan 3 at 7:04








  • 1




    $begingroup$
    There is a proof in Euclid's Elements, if that is what you want.
    $endgroup$
    – Aretino
    Jan 3 at 10:28










  • $begingroup$
    Yes,I wold like to see it please
    $endgroup$
    – letisya
    Jan 3 at 11:36










  • $begingroup$
    Here it is: mathcs.clarku.edu/~djoyce/java/elements/bookIII/propIII31.html
    $endgroup$
    – Aretino
    Jan 3 at 21:11










  • $begingroup$
    perfect! Thankyou.
    $endgroup$
    – letisya
    Jan 4 at 9:44
















2












$begingroup$


I wonder if it possible to prove the Thales theorem only with Euclidean axioms.
what do you think?






euclidean-geometry







share|cite|improve this question









$endgroup$



closed as off-topic by Saad, Paul Frost, user91500, ancientmathematician, Adrian Keister Jan 3 at 13:38


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Paul Frost, user91500, ancientmathematician, Adrian Keister

If this question can be reworded to fit the rules in the help center, please edit the question.












  • 1




    $begingroup$
    Euclid's original axioms are flawed (even in his first theorem, Euclid himself has to use assumptions not based on his own axioms). While the idea behind them has been tremendously important to mathematics throughout millennia, to use them directly in this modern age would, in my opinion, not be a good idea.
    $endgroup$
    – Arthur
    Jan 3 at 7:04








  • 1




    $begingroup$
    There is a proof in Euclid's Elements, if that is what you want.
    $endgroup$
    – Aretino
    Jan 3 at 10:28










  • $begingroup$
    Yes,I wold like to see it please
    $endgroup$
    – letisya
    Jan 3 at 11:36










  • $begingroup$
    Here it is: mathcs.clarku.edu/~djoyce/java/elements/bookIII/propIII31.html
    $endgroup$
    – Aretino
    Jan 3 at 21:11










  • $begingroup$
    perfect! Thankyou.
    $endgroup$
    – letisya
    Jan 4 at 9:44














2












2








2





$begingroup$


I wonder if it possible to prove the Thales theorem only with Euclidean axioms.
what do you think?






euclidean-geometry







share|cite|improve this question









$endgroup$




I wonder if it possible to prove the Thales theorem only with Euclidean axioms.
what do you think?






euclidean-geometry




euclidean-geometry






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 3 at 6:51









letisyaletisya

517




517




closed as off-topic by Saad, Paul Frost, user91500, ancientmathematician, Adrian Keister Jan 3 at 13:38


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Paul Frost, user91500, ancientmathematician, Adrian Keister

If this question can be reworded to fit the rules in the help center, please edit the question.







closed as off-topic by Saad, Paul Frost, user91500, ancientmathematician, Adrian Keister Jan 3 at 13:38


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Paul Frost, user91500, ancientmathematician, Adrian Keister

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    $begingroup$
    Euclid's original axioms are flawed (even in his first theorem, Euclid himself has to use assumptions not based on his own axioms). While the idea behind them has been tremendously important to mathematics throughout millennia, to use them directly in this modern age would, in my opinion, not be a good idea.
    $endgroup$
    – Arthur
    Jan 3 at 7:04








  • 1




    $begingroup$
    There is a proof in Euclid's Elements, if that is what you want.
    $endgroup$
    – Aretino
    Jan 3 at 10:28










  • $begingroup$
    Yes,I wold like to see it please
    $endgroup$
    – letisya
    Jan 3 at 11:36










  • $begingroup$
    Here it is: mathcs.clarku.edu/~djoyce/java/elements/bookIII/propIII31.html
    $endgroup$
    – Aretino
    Jan 3 at 21:11










  • $begingroup$
    perfect! Thankyou.
    $endgroup$
    – letisya
    Jan 4 at 9:44














  • 1




    $begingroup$
    Euclid's original axioms are flawed (even in his first theorem, Euclid himself has to use assumptions not based on his own axioms). While the idea behind them has been tremendously important to mathematics throughout millennia, to use them directly in this modern age would, in my opinion, not be a good idea.
    $endgroup$
    – Arthur
    Jan 3 at 7:04








  • 1




    $begingroup$
    There is a proof in Euclid's Elements, if that is what you want.
    $endgroup$
    – Aretino
    Jan 3 at 10:28










  • $begingroup$
    Yes,I wold like to see it please
    $endgroup$
    – letisya
    Jan 3 at 11:36










  • $begingroup$
    Here it is: mathcs.clarku.edu/~djoyce/java/elements/bookIII/propIII31.html
    $endgroup$
    – Aretino
    Jan 3 at 21:11










  • $begingroup$
    perfect! Thankyou.
    $endgroup$
    – letisya
    Jan 4 at 9:44








1




1




$begingroup$
Euclid's original axioms are flawed (even in his first theorem, Euclid himself has to use assumptions not based on his own axioms). While the idea behind them has been tremendously important to mathematics throughout millennia, to use them directly in this modern age would, in my opinion, not be a good idea.
$endgroup$
– Arthur
Jan 3 at 7:04






$begingroup$
Euclid's original axioms are flawed (even in his first theorem, Euclid himself has to use assumptions not based on his own axioms). While the idea behind them has been tremendously important to mathematics throughout millennia, to use them directly in this modern age would, in my opinion, not be a good idea.
$endgroup$
– Arthur
Jan 3 at 7:04






1




1




$begingroup$
There is a proof in Euclid's Elements, if that is what you want.
$endgroup$
– Aretino
Jan 3 at 10:28




$begingroup$
There is a proof in Euclid's Elements, if that is what you want.
$endgroup$
– Aretino
Jan 3 at 10:28












$begingroup$
Yes,I wold like to see it please
$endgroup$
– letisya
Jan 3 at 11:36




$begingroup$
Yes,I wold like to see it please
$endgroup$
– letisya
Jan 3 at 11:36












$begingroup$
Here it is: mathcs.clarku.edu/~djoyce/java/elements/bookIII/propIII31.html
$endgroup$
– Aretino
Jan 3 at 21:11




$begingroup$
Here it is: mathcs.clarku.edu/~djoyce/java/elements/bookIII/propIII31.html
$endgroup$
– Aretino
Jan 3 at 21:11












$begingroup$
perfect! Thankyou.
$endgroup$
– letisya
Jan 4 at 9:44




$begingroup$
perfect! Thankyou.
$endgroup$
– letisya
Jan 4 at 9:44










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