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Why do the standard equations for circles and ellipses have fewer terms when they are centered at the origin of the xy-plane?
If that bothers you, then it's easy to arrange it so that they don't.
The standard equation for the circle centered at (A, B) is
(x - A)2 + (y - B)2 = R2
OK. So if the circle is centered at the origin, then 'A' and 'B' are zero.
(x - 0)2 + (y - 0)2 = R2
That has just as many terms as any other circle, but most people
simply don't bother writing all the zeros for this one. That's all
there is to the mystery.
What else can I help you with?
Why do the equations for circles and ellipses have fewer terms when they are centered at the origin of the graph?
The equation is based on having a centre at the origin. Moving the centre means you have to define where it is in relation to the origin, hence the extra terms involved in that job.
What are two dimensional shapes that are called curved shapes?
Circles, ellipses, ovals, cycloids, cardoids are some.Circles, ellipses, ovals, cycloids, cardoids are some.Circles, ellipses, ovals, cycloids, cardoids are some.Circles, ellipses, ovals, cycloids, cardoids are some.
All circles are also ellipses?
false TPate
Why do you have standard form?
There are many different standard forms: standard forms of numbers, of linear equations, of circles, etc. The standard form of numbers simplifies working with very large and very small numbers.
Which shape does not have 4 sides?
Triangles, spheres, pentagons, cylinders, circles, ellipses, the Mandelbrot Set, etc.
Are all ellipses circles?
Ellipses are not circles.
Why do the equations for circles and ellipses have fewer terms when they are centered at the origin of the graph?
The equation is based on having a centre at the origin. Moving the centre means you have to define where it is in relation to the origin, hence the extra terms involved in that job.
What are two dimensional shapes that are called curved shapes?
Circles, ellipses, ovals, cycloids, cardoids are some.Circles, ellipses, ovals, cycloids, cardoids are some.Circles, ellipses, ovals, cycloids, cardoids are some.Circles, ellipses, ovals, cycloids, cardoids are some.
Is every circle an ellipse?
Yes; the circle is a special case of an ellipse.
What date did Johannes Kepler discover ellipses?
Kepler did not discover ellipses. In 1605 he discovered that the orbits of the planets were ellipses rather than perfect circles.
How do you find the center and radius with an equation not in standard form?
By using Cartesian equations for circles on the Cartesian plane
All circles are also ellipses?
false TPate
What shapes are a cones faces?
Ellipses (and, in the special case circles).
How do you draw 2 congruent ellipses?
draw 2 circles the same size
Why do you have standard form?
There are many different standard forms: standard forms of numbers, of linear equations, of circles, etc. The standard form of numbers simplifies working with very large and very small numbers.
Who replace the circles with ellipses in a heliocentric model of the solar system?
Johannes Kepler
Who replaced circles with ellipses in a helicentric model of the universe?
Johannes Kepler replaced circles with ellipses in the heliocentric model of the universe.
