Image source: (http://www.qrg.northwestern.edu/projects/vss/docs/space-environment/2-how-ellipse-is-different.html)
Ellipse Definition: On a plane, ellipse is defined as follows – If two special points (called the foci) are picked on a plane and if we collect all the points around those foci such that the sum of the distances between any point in that collection and the two foci are a constant, then the locus of all these points form a curve called Ellipse.
Though this definition is for ellipse as a plane curve, this definition can be extended to define ellipse on non-planar surfaces, like for example on Earth.
Ellipses are symmetric about exactly two axes that are perpendicular to each other. If we align those two axes along the two cartesian axes ##X## and ##Y## and have the point of intersection coincide with the coordinate origin then the ellipse can be described by the following simple equation,
Cartesian Equation of an Ellipse: ##frac{x^2}{a^2}+frac{y^2}{b^2}=1##.
Here ##a## is called the semi-major axis and ##b## is called the semi-minor axis.
Ellipses are characterised by a parameter called eccentricity (##e##) which is related to the semi-major and semi-minor axes as follows,
##e=sqrt{1-frac{b^2}{a^2}}##.
A circle is a special ellipse with eccentricity zero (##e=0##).
If one of the focus is placed at the coordinate origin and measure the angle ( ##theta## ) from the semi-major axis in the counter-clockwise direction, the ellipse of eccentricity ##e##, can be described by the following simple polar equation,
##r(theta) = frac{a(1-e^2)}{1+ecostheta}##
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.
About Writedemy
We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.
How It Works
To make an Order you only need to click on “Place Order” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Are there Discounts?
All new clients are eligible for 20% off in their first Order. Our payment method is safe and secure.