Question

The study of nature beauty and art was originally a branch of philosophy called

Answer 1

ANSWER: Aesthetics

EXPLANATION: Aesthetics is a branch of philosophy that explores the nature of art, beauty and taste. More technical perspective, it can be called as the study of subjective and sensori-emotional values which are also sometimes called judgements of sentiments and tastes.

Answer 2

The study of nature, beauty, and art was originally a branch of philosophy called "Aesthetics". 
The branch of philosophy which deals with the nature of beauty, art and taste etc. sometimes defined as "Critical reflection on art, culture and nature".