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Construction Technology - Restoring the Leaning Tower of Pisa
(www.youtube.com)
This is a most excellent place for technology news and articles.
It was extremely close to collapse after over 800 years. They had time, just not an unlimited amount of it. People with a lifetime of experience and education knew how to work through the issue, and had a good idea of how long they had.
They closed the area off, did some tests, and worked slowly because some of their ideas made the problem worse. You don't want to rush solutions on completely unique problems, with completely unique artifacts.
That does make sense, interesting stuff.