"The influence of revolutions endured long after they ended and far beyond where they started." To what extent does Chapter 16 of Ways of the World...

You are likely referring to Chapter 16, "Atlantic Revolutions" in Ways of the World by Robert Strayer. In this chapter, Strayer emphasizes the interconnectedness of Atlantic revolutions in the United States, France, Haiti, and Latin America. Although each revolution was distinct, they influenced each other so that their influence lasted long after each revolution ended and far beyond where each revolution started. These revolutions were inspired by the ideas of the Enlightenment, including the end of the divine right of kings. The Enlightenment brought about new ideas about republicanism, religious tolerance, and rationality. The ideas of equality motivated these revolutions, though the American Revolution was in many ways more conservative than the French Revolution, which involved women in more major roles than the American Revolution. The Haitian Revolution, which is considered the only successful widespread slave revolt, was directly inspired by the French Revolution. Later, revolutions in Latin America were also inspired by earlier revolutions that had overthrown monarchies. 

The ideas of these revolutions continued to surface in movements such as abolitionism, nationalism, and feminism, as groups such as slaves and women agitated for equality, and people sought to unite people of common languages and heritage into one nation. Therefore, the influence of these revolutions continued long after and far beyond where they started.