Assertion: parabola's axis | /r/HasProperty | the tangent
Facets:
value: at the end of the diameter
type: LOCATION
value: to the circle
type: LOCATION
value: then x
type: DEGREE
value: to the parabola at its vertex
type: LOCATION
Source sentences:
text: Since B is on the x axis, which is the tangent to the parabola at its vertex, it follows that the point of intersection between any tangent to a parabola and the perpendicular from the focus to that tangent lies on the line that is tangential to the parabola at its vertex.
text: But if (x, y) is extremely close to the origin, since the x axis is a tangent to the circle, y is very small compared with x, so y2 is negligible compared with the other terms.
text: Then x' and y' axes can be found (the y' axis is the tangent at the end of the diameter) and the parabola between the two given points can be determined from its equation.