( formal ) used especially when politely asking a question or making a suggestion which you hope will not offend anyone (although it may criticize them slightly) :
If I may be so bold as to suggest that he made a mistake in his calculations ...
( formal ) used especially when politely asking a question or making a suggestion which you hope will not offend anyone (although it may criticize them slightly) :
If I may be so bold as to suggest that he made a mistake in his calculations ...
Oxford Advanced Learner's English Dictionary. Оксфордский английский словарь для изучающик язык на продвинутом уровне. 2005