Typeface: design of lettering that can include variations, such as extra bold, bold, regular, light, italic, condensed, extended, etc.  

Font: typeface variations

Cochin:

> serif typeface

> produced in 1912 

> publisher is Linotype

> designed by Georges Peignot for the Paris foundry G. Peignot et Fils (Deberny &

   Peignot)

> based on the copperplate engravings of the 18th century French artist Charles-

   Nicolas Cochin

> Matthew Carter expanded this into a 3 part series in 1977

> Georges Peignot also created a transitional serif typeface called 'Nicolas-Cochin' in 

   1977

> small x-height with long ascenders

> delicate frame

> mix of unique style elements

source:

https://en.wikipedia.org/wiki/Cochin_(typeface) 

https://www.linotype.com/163/cochin.html

https://oss.adm.ntu.edu.sg/ckok003/typeface-research-cochin/