Vinyasa is a type of yoga that links movement and breath to attain balance in the mind and body. From the Sanskrit “to place in a special way,” vinyasa aligns a deliberate sequence of poses with the breath to achieve a continuous flow.
Hatha yoga is the yoga tradition most familiar to Western culture. The term is derived from the Sanskrit ha, meaning "sun," and tha, meaning "moon." The practice aims to unite the active and receptive qualities represented by each celestial being.
Practitioners of Hatha yoga use physical alignment and breathing control to achieve an equilibrium between the active body and its universe. The resulting harmony manifests itself as physical strength, physiological health and emotional well-being. - yogapedia