Learn From Your Past in Chinese / Japanese...

溫故知新 is a proverb from Confucius that is used in Chinese, Japanese, and Korean cultures.

It can be translated in several ways:
Coming up with new ideas based on things learned in the past.
Examine things of the past, and obtain new knowledge.
Developing new ideas based on the study of the past.
Gain new insights through restudying old issues.
Understand the present by reviewing the past.
Learning from the past.
Review the old and know the new.
Taking a lesson from the past.
Taking a lesson from the wisdom of the ancients.
Follow the old ways.

The direct translation would be, “By asking old things, know new things.”
The Character meanings breakdown this way:
溫故 = ask old
知新 = know new

Explained: To learn new things that are outside of your experience, you can learn from old things of the past. You can find wisdom in history.

VS.

Note: Japanese use a variant of the first Kanji in modern times.
Therefore if you order this from a Japanese calligrapher, expect the first Kanji to look like 温 instead of 溫.

In addition to 温故知新 as mentioned above, this is sometimes written as 温古知新 in Japan.

前車之覆后車之鑒 is a Chinese proverb that suggests looking at the circumstances and toils of those you proceeded before you and learning from their experience.

This more literally means “the cart in front overturns, a warning to the following cart.”

This is figuratively translated as “draw a lesson from the failure of one's predecessor,” “learn from past mistakes,” or compared to the English idiom, “once bitten twice shy.”

Other more-direct translations:
Make the overturning of the chariot in front a warning for the chariot behind.
Learn caution through an unpleasant experience.
The wrecked coach in front should be a warning.
The overturned cart in front serves as a warning to the carts behind.