Let C be a space curve with three neighbooring points P,Q, R on it. Then Osculating circle at P is defined as the limiting position of the circle through P,Q,R as Q,R approaches to P.[br]Mathematically, [br] Osculating circle at P=[math]\frac{lim}{Q,R\to P}[/math] circle through P,Q,R

Let C be a space curve with three neighbooring points P,Q, R,S on it. Then Osculating sphere at P is defined as the limiting position of the sphere PQRS as Q,R,S approaches to P.[br]Mathematically, [br] Osculating sphere at P=[math]\frac{lim}{Q,R,S\to P}[/math] sphere through P,Q,R,S

In a space curve, what is the relation between the center of osculating circle and center of osculating sphere ?[br]To answer this question[br]Slide the parameter (t) given left in the applet below, and see the effect in 3D graph on the right.[br][br]Space curve मा, osculating circle को center र osculating sphere को center को सम्बन्ध के हुन्छ ?[br]यस प्रश्नको उतर को लागी, [br]तलको Applet मा बायाँ तिर को Slider (t) लाई चलाउनुहोस र यसको असर दायाँ तिरको 3D चित्रमा हेर्नुहोस ।[br]र [br]यस applet को अन्तमा भएको प्रश्नको उतर दिनुहोस ।