All 5 Uses of

approach
in
Brave New World

As they approached, the sun came out of a momentary eclipse behind a cloud.
p. 20.5

approached = got nearer

The nurses obeyed; but at the approach of the roses, at the mere sight of those gaily-coloured images of pussy and cock-a-doodle-doo and baa-baa black sheep, the infants shrank away in horror, the volume of their howling suddenly increased.
p. 21.8

approach = moving near

The approaches to the monorail station were black with the ant-like pullulation of lower-caste activity.
p. 73.3 *

approaches = routes that lead to a particular place

And all at once a great synthetic bass boomed out the words which announced the approaching atonement and final consummation of solidarity, the coming of the Twelve-in-One, the incarnation of the Greater Being.
p. 84.8

approaching = getting nearer

Definitions:

(1) (approach as in: approached the city)
to get closer to (near in space, time, quantity, or quality)
(2) (approach as in: use the best approach)
a way of doing something; or a route that leads to a particular place
(3) (approach as in: approached her with the proposal)
to begin communication with someone about something -- often a proposal or a delicate topic
(4) (meaning too rare to warrant focus)
meaning too rare to warrant focus:

More rarely (and typically only in classic literature), the phrase nearest approach to as used in "her nearest approach to an apology" or "her nearest approach to a smile" typically means that "something is as close to something else as it ever gets." "As near an approach to" can have a similar meaning.