What is ashtanga yoga?

At the end of class today, a student asked about ashtanga yoga. 

Yama, niyama, asana, pranayama, pratyahara, dharana, dhyana, samadhi, astau angini advises Patanjali, the hindu sage who scripted the Yoga Sutras, the seminal yoga text. He outlines a complete system for spiritual self-realisation through yoga detailing eight limbs: astau - eight. So correctly, ashtanga yoga refers to a classic integrated practise.

Ashtanga vinyasa, as taught by Sri K Pattabhi Jois of Mysore, South India is a popular and influential yoga method from which forms such as power yoga and dynamic yoga are derived.

Ashtanga vinyasa is firmly based on Patanjali's sutras, indeed Pattabhi Jois is a noted academic and has written an excellent overview of the 8 limbs. However in recent times the term ashtanga is widely understood to be synonymous with his method.

I am often asked, "What type of yoga do you teach?" In fact I teach Patanjali's ashtanga yoga, but to prevent confusion invariably reply ," Classic integrated yoga ." 

Maybe there is a case for being bolder and reclaming the term!