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| Keywords: Principia Book1 Proposition 30.jpg en Principia Book 1 Proposition 30 “ Area of a Parabolic Sector In Book 1 Proposition 30 of the Principia has a method for finding the areas of parabolic sectors No details of Newton ™s derivation of this method have been found It is possible that he noticed a property of the circle drawn through the Focus the Principal Vertex and any point on a Parabola related to the area of the parabolic sector between the axis and the radius to the point on the parabola He states that he used the method in his early attempts to calculate the orbits of comets It is possible to extend the method in Proposition 30 to produce a more general result See also Principia A New Translation by I Bernard Cohen and Anne Whitman “ University of California Press 1999 http //commons wikimedia org/wiki/File Principia_Properties_of_the_Parabola jpg Me Mikerollem 2012-06-29 Cc-zero ImageNote 1 72 732 351 33 606 800 2 Error - should be Area SAB SP SA AC/ 3 AP Will correct shortly ImageNoteEnd 1 Parabolas Demonstrations of Newton's Principia | ||||
