Beware, older languages below! The languages below were invented during Tolkien's earlier period and should be used with caution. Remember to never, ever mix words from different languages!

Qenya 

ríma

noun. edge, hem, border

A word appearing as ᴹQ. ríma “edge, hem, border” in The Etymologies of the 1930s under the root ᴹ√ (Ety/RĪ). In their Addenda and Corrigenda to the Etymologies, Carl Hostetter and Patrick Wynne indicated Tolkien considered changing the root: “Alter to SRI-” (EtyAC/RĪ).

Neo-Quenya: Based on the revision of the root, I would adapt this word as ᴺQ. hríma “edge, hem, border” to minimize conflict with other Quenya ríma words and to allow retention of N. rhîf “brink, brim”.

Conceptual Development: The Qenya Lexicon of the 1910s had ᴱQ. rimbe “edge, lip, brim” and ᴱQ. rīmen “border, shore”, both under the root ᴱ√RIMI (QL/80).