to go past (a place or thing); to go beyond
電車が駅を通り越した。
The train went past the station.
驚きを通り越して笑いが込み上げた。
The surprise was so great that laughter welled up.
怒りを通り越すと心が妙に穏やかになる。
Once anger goes beyond its peak, the mind becomes strangely calm.