Statement of Purpose for Part IV
An Approach to Mathematic Functions Basics
by Frank C. Fung ( 1st published in December, 2014. )
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Section XVII - A Statement of Purpose for Part IV
A Statement of Purpose for Part IV :
In this Part IV of the paper :
we shall attempt to derive the { equation in Polar Co-ordinates } for the Ellipse , the Circle , and the Parabola ;
and come up with a single type of equation , namely equations-of-the-format :
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The General Flow in Part IV :
In Section XVIII , coming up next :
We shall spell out the Geometric Definition of the Ellipse ,
using the { 2-focal-points and constant sum-of-distance } definition .
In Section XIX :
We shall develop the equation for the Ellipse in [ Polar Co-ordinates ] ,
using the [ Focal-Point closest to the Vertex-in-question ] as the base Point-of-Referece ;
to come up with this equation :
In Section XX :
We shall develop the equation for the Ellipse in [ Polar Co-ordinates ] ,
using the [ Focal-Point farthest from the Vertex-in-question ] as the base Point-of-Reference ;
to come up with this equation :
In Section XXI :
We shall develop this equation below for the Circle :
In Section XXII :
We shall develop this equation below for the Parabola :
using [ Polar Co-ordinates ] .
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go to the next section :
Section XVIII - The Geometric Definition of the Ellipse
go to the last section :
Section XVI - The Asymptotes for the Hyperbola - Part II
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MATH Functions Basics HomePage
Original dated 2014-12-07