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Fastest way to find the abciss of the barycenter of a given trapezoid
0
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I'm a student programmer and I need, given a trapeze of height 1 and given the abcisses of its vertices, to find the abcisse of its barycenter.
How can I do this the fastest way ?
Thank you
geometry barycentric-coordinates
asked Jan 31 at 14:45
Nathos8Nathos8
11
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add a comment |
0
$begingroup$
I'm a student programmer and I need, given a trapeze of height 1 and given the abcisses of its vertices, to find the abcisse of its barycenter.
How can I do this the fastest way ?
Thank you
geometry barycentric-coordinates
asked Jan 31 at 14:45
Nathos8Nathos8
11
$endgroup$
1
$begingroup$
$(A_x+B_x+C_x+D_x)/4$ (arithmetic mean of vertices abscissae).
$endgroup$
– Aretino
Jan 31 at 15:03
$begingroup$
Thank you very much !
$endgroup$
– Nathos8
Jan 31 at 15:12
$begingroup$
Take care : in 2D, you have 3 kinds of barycenters : the barycenter of vertices (as Aretino has shown), the barycenter of (uniformely weighted sides and the surface barycenter ; in general, all of them are different.
$endgroup$
– Jean Marie
Feb 1 at 20:20
add a comment |
0
0
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0
$begingroup$
I'm a student programmer and I need, given a trapeze of height 1 and given the abcisses of its vertices, to find the abcisse of its barycenter.
How can I do this the fastest way ?
Thank you
geometry barycentric-coordinates
asked Jan 31 at 14:45
Nathos8Nathos8
11
$endgroup$
I'm a student programmer and I need, given a trapeze of height 1 and given the abcisses of its vertices, to find the abcisse of its barycenter.
How can I do this the fastest way ?
Thank you
geometry barycentric-coordinates
geometry barycentric-coordinates
asked Jan 31 at 14:45
Nathos8Nathos8
11
asked Jan 31 at 14:45
Nathos8Nathos8
11
asked Jan 31 at 14:45
Nathos8Nathos8
11
asked Jan 31 at 14:45
Nathos8Nathos8
11
asked Jan 31 at 14:45
Nathos8Nathos8
11
11
1
$begingroup$
$(A_x+B_x+C_x+D_x)/4$ (arithmetic mean of vertices abscissae).
$endgroup$
– Aretino
Jan 31 at 15:03
$begingroup$
Thank you very much !
$endgroup$
– Nathos8
Jan 31 at 15:12
$begingroup$
Take care : in 2D, you have 3 kinds of barycenters : the barycenter of vertices (as Aretino has shown), the barycenter of (uniformely weighted sides and the surface barycenter ; in general, all of them are different.
$endgroup$
– Jean Marie
Feb 1 at 20:20
add a comment |
1
$begingroup$
$(A_x+B_x+C_x+D_x)/4$ (arithmetic mean of vertices abscissae).
$endgroup$
– Aretino
Jan 31 at 15:03
$begingroup$
Thank you very much !
$endgroup$
– Nathos8
Jan 31 at 15:12
$begingroup$
Take care : in 2D, you have 3 kinds of barycenters : the barycenter of vertices (as Aretino has shown), the barycenter of (uniformely weighted sides and the surface barycenter ; in general, all of them are different.
$endgroup$
– Jean Marie
Feb 1 at 20:20
1
1
$begingroup$
$(A_x+B_x+C_x+D_x)/4$ (arithmetic mean of vertices abscissae).
$endgroup$
– Aretino
Jan 31 at 15:03
$begingroup$
$(A_x+B_x+C_x+D_x)/4$ (arithmetic mean of vertices abscissae).
$endgroup$
– Aretino
Jan 31 at 15:03
$begingroup$
Thank you very much !
$endgroup$
– Nathos8
Jan 31 at 15:12
$begingroup$
Thank you very much !
$endgroup$
– Nathos8
Jan 31 at 15:12
$begingroup$
Take care : in 2D, you have 3 kinds of barycenters : the barycenter of vertices (as Aretino has shown), the barycenter of (uniformely weighted sides and the surface barycenter ; in general, all of them are different.
$endgroup$
– Jean Marie
Feb 1 at 20:20
$begingroup$
Take care : in 2D, you have 3 kinds of barycenters : the barycenter of vertices (as Aretino has shown), the barycenter of (uniformely weighted sides and the surface barycenter ; in general, all of them are different.
$endgroup$
– Jean Marie
Feb 1 at 20:20
add a comment |
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1
$begingroup$
$(A_x+B_x+C_x+D_x)/4$ (arithmetic mean of vertices abscissae).
$endgroup$
– Aretino
Jan 31 at 15:03
$begingroup$
Thank you very much !
$endgroup$
– Nathos8
Jan 31 at 15:12
$begingroup$
Take care : in 2D, you have 3 kinds of barycenters : the barycenter of vertices (as Aretino has shown), the barycenter of (uniformely weighted sides and the surface barycenter ; in general, all of them are different.
$endgroup$
– Jean Marie
Feb 1 at 20:20