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How to build an ellipse

How to build an ellipse

Ellipse is called a geometric figure on the plane, which is defined formuloyx? / A? + Y? / B? = 1 To construct an ellipse with a ruler and compass, you need to build a point she owned.

instructions

1

We introduce the definitions related to the concept of the ellipse.
Two points F1 and F2 are called the foci of the ellipse, if for any point M to take over the ellipse, the sum of distances F1M + F2M is constant.
The segment AB, passing through the foci, the ends of which lie on the ellipse is called the major axis.
Cut CD, perpendicular to the segment AB and passing through the middle of it is called the minor axis.

How to build an ellipse

2

Let there be given the length of the ellipse axes AB and CD. To construct an ellipse, you can use the following algorithm.
Draw two perpendicular lines from the intersection point and defer equal intervals horizontally AB / 2 and equal vertical CD / 2

How to build an ellipse

3

Draw a circle two radii AB / 2 and CD / 2. From the center of the circle will spend a few rays.

How to build an ellipse

4

Through the point of intersection of the circles built rays spend stretches parallel to the axes of the ellipse.

How to build an ellipse

5

We select the point of intersection draw a line, it will be a point belonging to the ellipse.

How to build an ellipse

6

Combining the data points, we get an ellipse.

How to build an ellipse

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