Question

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

Answer 1

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". 

Answer 2

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.