Naantisipiran niya an pagkakaigwa kan modernong calculus asin analysis sa paggamit nin konsepto na  infinitely small asin method of exhaustion hali sa pag-aram nin  geometrical theorems, kabali na an: the area of a circle;  surface area asin volume of a sphere; area of an ellipse; the area under a parabola; the volume of a segment of a paraboloid of revolution; the volume of a segment of a hyperboloid of revolution; and the area of a spiral.