Mathematics in Ancient and Medieval India c9.23

c9.23

To explain this in the quarter of a circle (Fig. 27) let PP₀ = A (or PP₁ = PP₀) and arc XP = y and [Figure: Fig. 27] arc XP₁ = y' say, then P₁S = ' - = p₁Q₁ - PQ = *bhogya-khaṇḍa* of the sine XP and P₀T = P₀Q₀ - PQ = tātkālika-bhogya-khaṇḍa (the arc PP₁ is deflected in the direction of the tangent).