Trisectrix of Maclaurin
Notable points and features
Notable points and features
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The curve has an [x\-intercept](/wiki/Root_of_a_function "Root of a function") at 3a \\over 2 and a [double point](/wiki/Double_point "Double point") at the origin. The vertical line x\={\-{a \\over 2 is an [asymptote](/wiki/Asymptote "Asymptote"). The curve intersects the line x \= a, or the point corresponding to the trisection of a right angle, at (a,{\\pm {1 \\over \\sqrt{3 a}). As a [nodal](/wiki/Node_%28singularity%29 "Node (singularity)") cubic, it is of [genus](/wiki/Genus_%28mathematics%29 "Genus (mathematics)") zero.


Can you provide more details about the x-intercept's location?