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conics
conic section
("a mathematical definition", "plane curves", "mathematical terms")
mathworld subject conic sections
parabola of vertex (2,4) and focus (2,3)
ellipse of foci (0,-2) and (0,2), semimajor axis length 3
hyperbola of semimajor axis length 1 and  foci (0,-2), (0,2)
{{cos(30/180*pi),-sin(30/180*pi)},{sin(30/180*pi),cos(30/180*pi)}}
{{cos(30/180*pi),-sin(30/180*pi)},{sin(30/180*pi),cos(30/180*pi)}}*{{x},{y}}
plot (x-2y)^2+3y-4=0
plot (x-2y)^2+3y-4=0, -3<=x<=3.5, -3<=y<=2
plot ((x-2y)^2+3y-4)xy=0, -3<=x<=3.5, -3<=y<=2
(x-y)*(x+2*y)+3*y-4=0
0.5x^2+y^2+3y-4=0
{{cos(a),-sin(a)},{sin(a),cos(a)}}*{{x},{y}}
{{cos(75°),-sin(75°)},{sin(75°),cos(75°)}}*{{2},{3}}
({{cos(75°),-sin(75°)},{sin(75°),cos(75°)}}*{{2},{3}})*1.0
axonometry
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