Abstract : The main goal of this paper is to present an Indian 'demonstration' of the cakravāla rules provided by Bhāskara II. This demonstration was given by Kṛṣṇadaivajña, a mathematician who lived at the end of the sixteenth century, in his commentary on Bhāskara's Bījagaṇita: the Bījapallava. The cakravāla, or cyclic method, is a procedure to calculate the solutions of a Diophantine quadratic equation of the form: $p\,x^2 + k = y^2$. This cyclic method involves solving linear Diophantine equations, so we will make a presentation, as short as possible, of the rules given by Bhāskara in order to handle these linear and quadratic equations: the kuṭṭaka and the vargaprakṛti. When necessary, we will present commentators' explanations.