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Math Help - The equation of a hyperbolic paraboloid to derive the corner points of rectangle

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    Senior Member bugatti79's Avatar
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    The equation of a hyperbolic paraboloid to derive the corner points of rectangle

    Hi Folks,

    I have come across some text where f(x,y)=c_1+c_2x+c_3y+c_4xy is used to define the corner points

    f_1=f(0,0)=c_1
    f_2=f(a,0)=c_1+c_2a
    f_3=f(a,b)=c_1+c_2a+c_3b+c_4ab
    f_4=f(0,b)=c_1+c_3b

    How are these equations determined? See attached pic

    Thanks
    Attached Thumbnails Attached Thumbnails The equation of a hyperbolic paraboloid to derive the corner points of rectangle-imag0179.jpg  
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