Quartic Plane Curve

: $Ax^4+By^4+Cx^3y+Dx^2y^2+Exy^3+Fx^3+Gy^3+Hx^2y+Ixy^2+Jx^2+Ky^2+Lxy+Mx+Ny+P=0$ This equation has fifteen constants. However, any one of them can be set equal to one without changing the shape of the curve. Therefore, quartic curves form a space of dimension fourteen. It also follows that there is exactly one quartic curve that passes through a set of fourteen distinct points. A quartic curve can have a maximum of: Four connected components Twenty-eight Bi-tangents Three ordinary Double Point s EXAMPLES Toric Section Klein Quartic
	Image:Bean CurvePNG	"http://wwwinformationdelightinfo/information/entry/Bean_curve" class="copylinks">Bean Curve
	Image:Bicuspid CurvePNG	"http://wwwinformationdelightinfo/information/entry/Bicuspid_curve" class="copylinks">Bicuspid Curve
	Image:Bowcurvejpg	"http://wwwinformationdelightinfo/information/entry/Bow_curve" class="copylinks">Bow Curve
	Image:Crookedeggpng	"http://wwwinformationdelightinfo/information/entry/Crooked_egg_curve" class="copylinks">Crooked Egg Curve
	Image:Cruciform1png	"http://wwwinformationdelightinfo/information/entry/Cruciform_curve" class="copylinks">Cruciform Curve s
	Image:Spiric Sectionpng	"http://wwwinformationdelightinfo/information/entry/Spiric_section" class="copylinks">Spiric Section s
	Image:Trottpng	"http://wwwinformationdelightinfo/information/entry/Trott_curve" class="copylinks">Trott Curve

	CATEGORIES ABOUT QUARTIC PLANE CURVE

	curves

	algebraic curves

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