Rene Descartes
who is known as the “Father of Modern Mathematics”
the point of intersection of the horizontal and vertical number line. Also known as (0,0)
Orgin
horizontal number line in the cartesian coordinate system also called the ‘abscissa’.
X-axis
vertical number line in the cartesian coordinate system also called the ‘ordinate’
Y-axis
curve formed by the intersection of a double circular cone and a plane.
Conic Sections
mathematical curves were initially discovered by the Greek mathematician
Menaechmus
contributed greatly to the understanding of conic sections. In his series of books titled “Conic Sections
Greek Mathematician named Apollonius
the plane is horizontal as it intersects the double circular cone
Circles
intersection of a slanted plane with a single cone, resulting in a curved shape that is confined within a boundary
Ellipse
when a plane (which may not be vertical) intersects both cones, resulting in two unbounded curves known as branches
Hyperbola
when a plane intersects a single cone, resulting in an unbounded curved shap
Parabola
The standard equation of a circle with center at point
(x-h)2 + (y-k)2 = r2.
– the exact middle point of the ellipse.
Center (O
the longest diameter that passes through the center.
Major Axis
the shortest diameter that passes through the center.
Minor Axis
the two endpoints of the major axis.
Vertices
the two endpoints of the minor axis.
Co-vertices
two fixed points inside the ellipse. The sum of the distances from any point on the ellipse to these two points is constant.
Foci (Focus points)
a fixed line outside the parabola.
Directrix
a line that divides the parabola into two equal halves and passes through the vertex and focus.
Axis of Symmetry
a line segment that passes through the focus and is parallel to the directrix.
Latus Rectum
the turning point of the parabola (highest or lowest point).
Vertex
the middle point between the two branches. in hyperbola
Center
the points where the hyperbola begins to open.
Vertices
