Cf: Не who climbs too high is near a fall (Br.). Не who climbs too high is near to fall (Am.). The higher standing, the lower fall (Br.). The higher they go, the lower they fall (Am.). High places have their precipices (Am., Br.). One who climbs high falls low (Am.)
Русско-английский словарь пословиц и поговорок. Академик.ру. 2013.