decurrent
adjective
de·cur·rent di-ˈkər-ənt 
-ˈkə-rənt
: running or extending downward along the stem
decurrent leaves
Word History
Etymology
Latin decurrent-, decurrens, present participle of decurrere to run down, from de- + currere to run — more at car
First Known Use
circa 1753, in the meaning defined above