{1} over {a%varphi + b} = {a(%varphi - 1) - b} over {a^2 - ab - b^2} newline
{1} over {a%varphi + 1} = {a(%varphi - 1) - 1} over {a^2 - a - 1} newline
{1} over {%varphi + a} = {a + 1 - %varphi} over {a^2 + a - 1} newline
{1} over {%varphi} = %varphi - 1 newline
{1} over {%varphi + 1} = 2 - %varphi newline