anguine

As an adjective anguine

is pertaining to snakes or serpents.

As a noun anguinea is

(maths) a cubic curve of the form xy² + ey = ax³ + bx² + cx + d.

As adjectives the difference between anguine and sanguine

is that anguine is pertaining to snakes or serpents while sanguine is having the colour of blood; red.

As a noun sanguine is

blood colour; red.

As a verb sanguine is

to stain with blood; to impart the colour of blood to; to ensanguine.