He engaged in feverish bouts of self-improvement , studying euclid and grammar at all hours .
他沉迷于自我完善，整日整夜地研究欧几里德和语法学。
In this article , we discuss some questions with respect to number theory in the works of euclid and diophantus .
在本文中，我们讨论了欧几里得和丢番图著作中与数论有关的某些问题。
It has been too often assumed that " proof " must be what kant called " apodeictic " that is of the kind that we used to be familiar within euclid , where the argument could be concluded with a triumphant q.e.d. because every rational person who understands the propositions is compelled to accept the inference .
Future space missions , such as nasa 's joint dark energy mission and the european space agency 's euclid mission , will be required to test general relativity across these larger distances , the scientists say .
Economics , which became the most influential of the social sciences , sought to remove this handicap by taking an axiomatic approach similar to euclid 's geometry .
