This is the 14126th most frequent Polish word.
połamaną
"Połamaną" means "broken" or "fractured" in English.
Here, 'połamaną' is an adjective in its feminine form and accusative case, modifying 'książkę', which means 'book'. It indicates that the book is physically damaged or broken.
Znalazłam połamaną książkę w bibliotece.
I found a broken book in the library.
In this sentence, 'połamaną' again functions as an adjective in its feminine form and accusative case, describing 'parasolkę', which means 'umbrella', showing damage.
Przyniosłem ci połamaną parasolkę, którą znalazłem.
I brought you a broken umbrella that I found.
Here, 'połamaną' acts as an adjective in its feminine form and accusative case, pertaining to 'gałąź', meaning 'branch', indicating it is damaged or split.