File:Principia Book1 Proposition 30.jpg

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DescriptionPrincipia Book1 Proposition 30.jpg	English: 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 File:Principia_Properties_of_the_Parabola.jpg
Date	29 June 2012
Source	Own work
Author	Mikerollem

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	Date/Time	Dimensions	User	Comment
current	10:52, 4 July 2012	610 × 1,550 (181 KB)	Mikerollem (talk \| contribs)	Minor Correction
	09:41, 29 June 2012	610 × 1,550 (181 KB)	Mikerollem (talk \| contribs)	Small Addition
	15:07, 22 June 2012	610 × 1,450 (169 KB)	Mikerollem (talk \| contribs)	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 ...
	15:56, 15 June 2011	606 × 800 (41 KB)	Mikerollem (talk \| contribs)	Category:Parabolas
	09:43, 24 April 2011	606 × 800 (41 KB)	Mikerollem (talk \| contribs)	{{Information \|Description ={{en\|1=Principia Book 1 Proposition 30 – Area of a Parabolic Sector. This is a generalisation of Newton’s construction to find a linear measure of the area of a parabolic sector. Newton used Prop 30 in his initial metho

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