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Inspection of the tongue is a key component in Ayurveda. Ayurveda practitioners diagnose the health status of a patient based on observation of the colour, shape, and texture characteristics of the tongue. The condition of the tongue can objectively reflect the presence of certain diseases and aid in the differentiation of syndromes, prognosis of disease and establishment of treatment methods. Tongue shape is a very important feature in tongue diagnosis. A different tongue shape other than ellipse could indicate presence of certain pathologies. Our Proposed system has novel set of features based on shape geometry and polynomial equations for automated recognition and classification of the shape of a tongue image using machine learning techniques. Tongue diagnosis can be an effective, non-invasive method to perform an auxiliary diagnosis any time anywhere, which can support the global need in the primary healthcare system.