A conic or conic section is a plane curve that can be obtained by intersecting a cone with a plane that does not go through the vertex of the cone. There are three possibilities, depending on the relative position of the cone and the plane. If no line of the cone is parallel to the plane, the intersection is a closed curve, called an ellipse. If one line of the cone is parallel to the plane, the intersection is an open curve whose two ends are asymptotically parallel; this is called a parabola. Finally, there may be two lines in the cone parallel to the plane; the curve in this case has two open pieces, and is a hyperbola. In mathematics, parametric equations bear slight similarity to functions: they allow one to use arbitrary values, called parameters, in place of independent variables in equations, which in turn provide values for dependent variables. A simple kinematical example is when one uses a time parameter to determine the position, velocity, and other information about a body in motion. Abstractly, a relation is given in the form of an equation, and it is shown also to be the image of functions from items such as R. It is therefore somewhat more accurately defined as a parametric representation. It is part of regular parametric representation. Converting a set of parametric equations to a single equation involves solving one of the equations usually the simplest of the two for the parameter. Then the solution of the parameter is substituted into the remaining equation, and the resulting equation is usually simplified. It should be noted that the parameter is never present when the equation is in singular form; it must cancel out during conversion. Or, the process put simply: the simultaneous equations need to be solved for the parameter, and the result will be one equation. Additional steps need to be performed if there are restrictions on the value of the parameter. The arc length of a circle is the distance from one point on the circumference to...

...AN INTRODUCTION TO CONICSECTIONS
There exists a certain group of curves called ConicSections that are conceptually kin in several astonishing ways. Each member of this group has a certain shape, and can be classified appropriately: as either a circle, an ellipse, a parabola, or a hyperbola. The term "ConicSection" can be applied to any one of these curves, and the study of one curve is not essential to...

...
1.
(a) Indications
-The stenopaic slit refraction is useful for confirming the results of other refraction techniques for patients with irregular astigmatism or reduced visual acuity.
- It is helpful for patients who have difficulty understanding the complex instructions associated with other subjective techniques.
-It is important to note that, like the pinhole, the stenopaic slit may be used diagnostically to determine a patient's potential visual acuity.
-The astigmatism present in the...

...Chapter 13_Graphing the ConicSections
Ellipses
In this study guide we will focus on graphing ellipses but be sure to read and understand
the definition in your text.
Equation of an Ellipse (standard form)
Area of an Ellipse
( x − h) 2 ( y − k ) 2
+
=1
a2
b2
with a horizontal axis that measures 2a units, vertical axis
measures 2b units, and (h, k) is the center.
The long axis of an ellipse is called the major axis and the short...

...The parabola has an electromagnetic signal reflection property. Four signals are shown in green and blue. These signals are shown with arrows on both ends to indicate the focus either collects the signals (coming in) or the focus generates the signals and they leave in parallel from the parabola. The inside of the parabola can be a mirror (for light) or another material (for non visible electromagnetic waves.)
As light enters parallel to axis of symmetry it will strike the...

...Chapter 10 : Quadratic Relations and ConicSections
History of ConicSections
History of ConicSections
Apollonius of Perga (about 262-200 B.C.) was the last of the great mathematicians of the golden age of Greek mathematics. Apollonius, known as "the great geometer," arrived at the properties of the conicsections purely by geometry. His descriptions were so complete that...

...what retinal tears and detachments are. It discusses
their symptoms, causes, diagnosis and
Lens
treatment options.
Cornea
Anatomy
It is important to recognize the parts of the
eye before learning about retinal tears and
detachments. This section reviews the
anatomy of the eye.
Light hits the cornea of the eye first. The
cornea is the transparent covering on the
front of the eye.
Iris
Vitreous
Macula
Retina
Next, light travels to the back part of the...

...Delos Santos
Members
Anna Lyn P. Jaime
Parametric and Non-Parametric Test
Topics
I. Introduction
II. Summary of the major points and how they might affect statistical analysis
III. What is the Parametric and Non- Parametric Tests?
A. Parametric
a. Definition
b. Parametric Assumption
B. Non-Parametric
a. Definition
b. Non...

...Question 1:
Write the equations for the x and y-axes.
Answer :
The y-coordinate of every point on the x-axis is 0.
Therefore, the equation of the x-axis is y = 0.
The x-coordinate of every point on the y-axis is 0.
Therefore, the equation of the y-axis is x = 0.
Question 2:
Find the equation of the line which passes through the point (–4, 3) with slope .
Answer :
We know that the equation of the line passing...

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