Final answer:
The Bourbon dynasty included Henry VI, Louis XIII, and Louis XIV, known for solidifying absolute monarchy in France.
Step-by-step explanation:
The dynasty that included Henry VI, Louis XIII, and Louis XIV is the Bourbon dynasty. The Bourbon dynasty was a powerful European royal house, particularly influential in France, where it produced a line of monarchs that ruled from the late 16th century until the French Revolution. Famously, the Bourbon kings bolstered the principle of absolute monarchy in France, with figures like Louis XIV, known as 'the Sun King', embodying the height of such autocratic power. Louis XIII and his minister, Cardinal Richelieu, laid much of the groundwork for this centralized power, which was continued by Louis XIV. The dynasty's rule in France was temporarily interrupted by the French Revolution but was restored briefly during the 19th century through Louis XVIII after the fall of Napoleon.