In what ways does the united states constitution manifest the principles of both republican and democratic forms of government? in what ways does it deviate from those principles?

The United Constitution manifest principles of democracy through citizens voting for their representatives.  It represents republicanism through shared power between the federal and state power. A powerful central government is a departure from republicanism. The electoral college is a departure from democracy through majority rule

john smith was the first englishman to sail around the world. francis bacon served as attorney general and lord chancellor of england. he took up aristotelian ideas, arguing for an empirical, inductive approach, known as the scientific method, which is the foundation of modern scientific inquiry.