For the hippocratics, physical health was determined by and mental health was determined by

The correct answer is the condition of the four humors of the body; the condition of the brain.

Hippocrates was a Greek physician who is considered to be a very prominent figure of Medicine. According to Hippocratic medicine, the human body is comprised of four distinct humors; the black bile, the yellow bile, the phlegm, and the blood. An excess or deficiency in any of these four humors was believed to greatly affect the physical health of the human body. In addition, they believed that the mental health was affected by the condition of the brain.