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This video explains how to write the equation for a canonical ellipse, with the focus on ellipses that are either horizontal or vertical. The equation is based on the difference of two squares, and the center of the ellipse is found by taking the square root of the sum of the squares of the two radii from the origin. The values of a and b are then calculated using Pythagoras' theorem, and the value of s is found using a pitagorean theorem. The final step is to find the value of ce, which is equal to the square root of the difference of the squares of the two axes.

**00:00:00**This video demonstrates how to recognize a canonical elipse equation, which has a center outside of its origin (h, k). We first identify four canonical elipse equations, and then two of them have centers outside of the origin. We then recognize the elipse as being vertical or horizontal based on the numbers that are accompanying the variables. Finally, we find the center of the elipse and write the equation in standard form.**00:05:00**In this video, the Ecuaci贸n Canonica de la ELIPSE is explained, with focus on the horizontal and vertical aspects. The equation is shown to be based on the squared difference of two squares, and the center of the ellipse is determined by the square root of the sum of the squares of the two radii from the origin. The values of a and b are then calculated using Pythagoras' theorem, and the value of s is found using a pitagorean theorem. The final step is to find the value of ce, which is equal to the square root of the difference of the squares of the two axes. Finally, the video discusses how to graph the ellipse using final graphics in a future video.

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