Both be proud of and take pride in can be translated as "to." Be proud of the pride", such as.
Example sentence 1】You must be very proud of your son(You must be proud of your son.) [Cambridge Dictionary of Senior Scholars].
Example sentence 2] You should be proud of yourself(You should be proud of yourself.) [Longman Dictionary of Contemporary English].
Example sentence 3】We take pride in offering you the highest standards(We pride ourselves on providing you with the highest standards.) Collins Dictionary of Senior Scholars].
Example sentence 4】He takes greatest pride in his children's achievements.(He was very proud of the children's accomplishments.) [Longman Dictionary of Contemporary English].
Example sentence 5] he was justifiably proud of his achievements(He is rightly proud of his accomplishments.) [Cambridge Dictionary of Senior Scholars].
Example sentence 6】We take pride in the high quality of our food(We pride ourselves on the high quality of our food.) [Cambridge Academic Content Dictionary].
If you look closely, the semantics and usage of the two do not completely overlap, and the differences are:
1.proud is an adjective, be proud to represent a state of mind, is a static description;Ride is a noun, and take is a verb with a strong sense of initiative, so take pride is more aggressive.
2.Be proud of of the table reason, followed by the noun phrase is proud of the capital;The in expression of take pride in is "in." aspects", expressing the pride based on the head. The former is somewhat "unjustified" stronger than the latter.
3.The proud capital of be proud of is often a person or thing, and its pride is the inner evaluation of the subject, which does not need to be written out (such as your son, yourself);The pride of taking pride in is often from the beginning, and its sense of action is relatively strong (such as offering you...).his children's achievements)。
But the distinction between example sentences in the Longman Dictionary of Contemporary English is not as strong, such as:
Example sentence 7】The company is justly proud of its achievements(This company is rightly proud of its accomplishments.) [Longman Dictionary of Contemporary English].
Example sentence 8】She was intensely proud of being Japanese(She is immensely proud to be Japanese.) [Longman Dictionary of Contemporary English].
Example sentence 9] he takes immense pride in his grandson(He is proud of his grandson.) [Longman Dictionary of Contemporary English].
Example sentence 10] she takes pride in her beautiful gardens(She takes pride in her beautiful garden.) [Longman Dictionary of Contemporary English].
Example sentence 11】She took greatest pride in her appearance(She is very proud of her appearance.) [Longman Dictionary of Contemporary English].
The above distinction is more consistent in the example sentences in the Oxford, Cambridge, and Collins dictionaries.