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    Regular Triangle Center

    Result

    (0, 0)

    Defining inequalities

    sqrt(3) (a + 3 x)>=3 y and sqrt(3) a + 6 y>=0 and sqrt(3) a>=3 (sqrt(3) x + y)

    Definition

    Lamina properties

    (0, a/sqrt(3)) | (-a/2, -a/(2 sqrt(3))) | (a/2, -a/(2 sqrt(3)))

    3

    a>0

    (data not available)

    r = a/(2 sqrt(3))

    h = a/(2 sqrt(3))

    (sqrt(3) a)/2

    A = (sqrt(3) a^2)/4

    x^_ = (0, 0)

    Mechanical properties

    J_x invisible comma x = a^4/(32 sqrt(3))

    J_y invisible comma y = a^4/(32 sqrt(3))

    J_zz = a^4/(16 sqrt(3))

    J_x invisible comma y = 0

    r_x = a/(2 sqrt(6)) r_y = a/(2 sqrt(6))

    K = (sqrt(3) a^4)/80

    Distance properties

    a | a | a

    p = 3 a

    r = a/(2 sqrt(3))

    R = a/sqrt(3)

    a

    χ = 1

    s^_ = 1/20 a (3 + 3 log(3))

    A^_ = a^2/(16 sqrt(3))