CONIC SECTIONS Flashcards
A FIGURE FORMED BY THE “INTERSECTION OF A PLANE” AND A “RIGHT CIRCULAR CONE”.
DEPENDING ON THE ANGLE OF THE PLANE WITH RESPECT TO THE CONE.
CONIC SECTIONS
ACCORDING TO … CONIC SECTION IS A CURVE FORMED BY THE INTERSECTION OF A PLANE AND A DOUBLE RIGHT CIRCULAR CONE.
APOLLONIUS PERGA / STUDY
FOUR (4) TYPES OF CONIC SECTIONS
> CIRCLE
PARABOLA
ELLIPSE
HYPERBOLA
THE CONIC SECTION FORMED BY THE PLANE BEING “PARALLEL TO THE BASE OF THE CONE”.
SOECIAL KIND OR ELLIPSE.
CIRCLE
IS FORMED WHEN THE PLANE IS “PARALLEL TO THE SURFACE OF THE CONE”, RESULTING IN A U-SHAPED CURVE THAT LIES ON THE PLANE.
PARABOLA
IS FORMED WHEN A PLANE IS “NOT PARALLEL TO THE SURFACE AND THE BASE OF THE CONE”.
IT “INTERSECTS THE BOTH SURFACE OF THE CONE”
ELLIPSE
FORMED BY THE PLANE BEING “PERPENDICULAR TO THE BASE OF THE CONE”.
FORMED WHEN THE PLANE IS “PARALLEL TO THE CONE’S CENTRAL AXIS”, MEANING IT “INTERSECTS BOTH PARTS OF THE DOUBLE CONE”.
HYPERBOLA
WHEN A PLANE “INTERSECTS AT THE VERTEX OF THE CONE.
DEGENERATE CONICS
WHEN A PLANE “DOES NOT PASS” THROUGH THE VERTEX OF THE CONE.
NON-DEGENERATE CONICS
SOLAR SYSTEM …
ELLIPSE
SATELLITE …
PARABOLIC
MICROPHONE …
PARABOLIC
FLASHLIGHT …
PARABOLIC
FOLLOWERS OF APOLLO
APOLLONIUS
FOLLOWERS OF APOLLO (FEMININE FORM)
APOLONIO