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They're actually many but I'll just mention 5 for each nationalities.

1. BRITISH MATHEMATICIANS

* John Adair

* John Craig

* James Gregory (or James Gregorie)

* William Jones

* Thomas Rudd

2. ENGLISH MATHEMATICIANS

* Thomas Allen

* Robert Anderson

* John Babington

* Robert Wood

* Isaac newton

3. FRENCH MATHEMATICIANS

* Pierre Vernier

* Antoine Gombaud

* Jean de Beaugrand

* Marie Crous

* Blaise Pascal

4. ITALIAN MATHEMATICIANS

* Galileo Galilei

* Andrea Argoli

* Bernardino Baldi

* Paolo Casati

* Orazio Grassi

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