I am assuming you are talking about prince Henry the Navigator.
well he used the compass, trigonometry, and the astrolabe. these advances in navigational equipment allowed sailors to make longer voyages so they can explore more lands.
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They were tied to Britain through trade and by the way they were governed. Britain also needed money to pay for its war debts. The King and Parliament believed they had the right to tax the colonies. They decided to require several kinds of taxes from the colonists to help pay for the French and Indian War.