
Ordinates of the parabola `y^2 = x` 
Ordinate of a parabola is a line perpendicular to the axis of a parabola, starting from the
axis and ending on a point on the parabola itself. Ordinates are always inside the parabola. The figure above shows a bunch of ordinates for the parabola `y^2 = x`.

Double ordinates for the parabola `y^2 = x` 
A double ordinate, on the other hand, is the
double of an ordinate. That is, it is a line perpendicular to the axis of the parabola and meeting the parabola at two points instead of just one. The figure above shows the double ordinates for the parabola `y^2 = x`.
Note: The double ordinate of a parabola passing through its
focus are called its
latus rectum.
I'm writing a series of blog posts on the intersection of rote knowledge and higher order math reasoning. Would you be interested in seeing them and linking? Here's one that arose from a colloquy with Alfie Kohn, one of the clearest thinkers in education: http://www.ronaldfischman.com/#!ApplesandBasketballs/c1z4c/6C1264F1A2FD4B53A06C3D37E9EDE951
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