Given three points in the Cartesian plane, what are the coordinates of the Fermat point?












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Given three points $P(x_1,y_1),P(x_2,y_2) text{ and } P(x_3,y_3)$ in the Cartesian plane, what are the coordinates of the Fermat point?



https://en.wikipedia.org/wiki/Fermat_point










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  • $begingroup$
    It is well defined - find the third vertices for two of the triangles and than just calculate the intersection of the lines created with the proper vertices - what is your challenge?
    $endgroup$
    – Moti
    Dec 4 '18 at 7:27










  • $begingroup$
    This is an algorithm, not a formula.
    $endgroup$
    – Francyelle
    Dec 4 '18 at 14:50










  • $begingroup$
    faculty.evansville.edu/ck6/encyclopedia/ETC.html#X13
    $endgroup$
    – BPP
    Dec 4 '18 at 15:24
















0












$begingroup$


Given three points $P(x_1,y_1),P(x_2,y_2) text{ and } P(x_3,y_3)$ in the Cartesian plane, what are the coordinates of the Fermat point?



https://en.wikipedia.org/wiki/Fermat_point










share|cite|improve this question











$endgroup$












  • $begingroup$
    It is well defined - find the third vertices for two of the triangles and than just calculate the intersection of the lines created with the proper vertices - what is your challenge?
    $endgroup$
    – Moti
    Dec 4 '18 at 7:27










  • $begingroup$
    This is an algorithm, not a formula.
    $endgroup$
    – Francyelle
    Dec 4 '18 at 14:50










  • $begingroup$
    faculty.evansville.edu/ck6/encyclopedia/ETC.html#X13
    $endgroup$
    – BPP
    Dec 4 '18 at 15:24














0












0








0





$begingroup$


Given three points $P(x_1,y_1),P(x_2,y_2) text{ and } P(x_3,y_3)$ in the Cartesian plane, what are the coordinates of the Fermat point?



https://en.wikipedia.org/wiki/Fermat_point










share|cite|improve this question











$endgroup$




Given three points $P(x_1,y_1),P(x_2,y_2) text{ and } P(x_3,y_3)$ in the Cartesian plane, what are the coordinates of the Fermat point?



https://en.wikipedia.org/wiki/Fermat_point







geometry euclidean-geometry analytic-geometry






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 3 '18 at 22:25









KReiser

9,39221435




9,39221435










asked Dec 3 '18 at 22:21









FrancyelleFrancyelle

11




11












  • $begingroup$
    It is well defined - find the third vertices for two of the triangles and than just calculate the intersection of the lines created with the proper vertices - what is your challenge?
    $endgroup$
    – Moti
    Dec 4 '18 at 7:27










  • $begingroup$
    This is an algorithm, not a formula.
    $endgroup$
    – Francyelle
    Dec 4 '18 at 14:50










  • $begingroup$
    faculty.evansville.edu/ck6/encyclopedia/ETC.html#X13
    $endgroup$
    – BPP
    Dec 4 '18 at 15:24


















  • $begingroup$
    It is well defined - find the third vertices for two of the triangles and than just calculate the intersection of the lines created with the proper vertices - what is your challenge?
    $endgroup$
    – Moti
    Dec 4 '18 at 7:27










  • $begingroup$
    This is an algorithm, not a formula.
    $endgroup$
    – Francyelle
    Dec 4 '18 at 14:50










  • $begingroup$
    faculty.evansville.edu/ck6/encyclopedia/ETC.html#X13
    $endgroup$
    – BPP
    Dec 4 '18 at 15:24
















$begingroup$
It is well defined - find the third vertices for two of the triangles and than just calculate the intersection of the lines created with the proper vertices - what is your challenge?
$endgroup$
– Moti
Dec 4 '18 at 7:27




$begingroup$
It is well defined - find the third vertices for two of the triangles and than just calculate the intersection of the lines created with the proper vertices - what is your challenge?
$endgroup$
– Moti
Dec 4 '18 at 7:27












$begingroup$
This is an algorithm, not a formula.
$endgroup$
– Francyelle
Dec 4 '18 at 14:50




$begingroup$
This is an algorithm, not a formula.
$endgroup$
– Francyelle
Dec 4 '18 at 14:50












$begingroup$
faculty.evansville.edu/ck6/encyclopedia/ETC.html#X13
$endgroup$
– BPP
Dec 4 '18 at 15:24




$begingroup$
faculty.evansville.edu/ck6/encyclopedia/ETC.html#X13
$endgroup$
– BPP
Dec 4 '18 at 15:24










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