kill(all)$

maxima :appendix parabola y^2 = 4*P*x,version 1.0
peter.vlasschaert@gmail.com,17/05/2022

insert image : Menu → Cell → insert image.

Appendix : Parabola  : y^2=4*P*x , P = 1
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fig :

C:\Users\science\Desktop\studie\parabolaappendixyy4px.png

properties : Parabola 
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→  a) Eccentricity :e

definition :

p1:e = AB/BC;

Parabola : e =1

p1a:subst([e=1],p1);

p1b:denom(rhs(p1a))*p1a;

rem : length(h) = length(g)

reason : |CB|//|DA| = 1

|BC| =ED +EF

p1c:BC = -P+x;

|AB| = sqrt(y^2+(x-P)^2)

p1d:AB=sqrt(y^2+(x+P)^2);

use :p1B

p1e:rhs(p1c) =rhs(p1d);

p1f:(lhs(p1e))^2=(rhs(p1e))^2;

p1fa;

p1g:abs(solve(p1f,y^2));

p1ga:y^2=4*P*x;

build : Geogebra classic.
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Geogebra file :geogebra-exportappendixparabola.ggb
Geogebra file :parabolaappendixyy4px.png

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