What does ellipse mean and what is the definition of an ellipse?

What is the definition of an ellipse?

Let the elliptic equation be x 2 a 2 + y 2 b 2 = 1 and the point above it is (x0, y0) (y0 is not equal to 0).

Then the long axis of the ellipse is (a,0), (a,0), then the slopes of the two lines are y0 (x0-a), and the product of y0 (x0+a) is y0 2 (x0 2-a 2) Equation 1 and because the point is on the ellipse, there is b 2x0 2+a 2y0 2=a 2b 2, that is, y0 2=b 2(a 2-x0 2) a 2 is substituted into formula 1, and the product of a 2-x0 2 is -a 2 b 2, which has nothing to do with the coordinates of the point, and is a fixed value when the ellipse is determined.

A circle is a curve in a plane that surrounds two focal points such that for each point on the curve, the sum of the distances to the two focal points is constant. Therefore, it is a generalization of a circle, which is a special type of ellipse with two focal points at the same position. The shape of an ellipse (how it "elongs") is represented by its eccentricity, and for an ellipse it can be any number from 0 (the limit case of the circle) to any number that is arbitrarily close but less than 1 for carrying delay.

Hello! Glad for your question!

Answer: The definition of an ellipse is:

1. The trajectory of the distance from the plane to the two fixed points f1 and f2 and the point equal to the constant 2a (2a is greater than f1f2) is called an ellipse. Macro group.

2. The fixed-point f1 and f2 are called the focus of the ellipse.

3. The distance between the two focal points is called the focal length of the ellipse.

Your cheating is the greatest support to me from the Wu Jue Clan! Break a leg! Thank you!

An ellipse is a planar curve, historically composed of two axes perpendicular to each other, with a focal point in the middle of the hail, which resembles an ellipse, and its function is expressed as: (x a) 2 + y b) 2 = 1, where a is the length of the major axis and b is the length of the minor axis.

The trajectory of a point in the plane where the sum of the distances from two fixed points is equal to a fixed value (this fixed value is greater than the distance between two fixed points) is called an ellipse.

The trajectories of points whose sum of the distances from the plane to the two fixed points is equal to the fixed trap value (greater than the distance between the two points).

The two fixed points are called ellipticals, and the distance between the two fixed points is called the focal length.

Question 1: What does ellipse mean An ellipse is a type of conic curve, that is, the section between a conic and a plane.

Question 2: What does elliptical mean If you use the definition, it should be balanced is The ratio of the distance from the point on the curve to the specified point and the distance from the specified straight line is always greater than 1 and is constant.

If you change to focus mode, it should be ** to the point where the sum of the distances to the two specified points is always the same

Question 3: What does the definition of ellipse mean? The sum of the distances from the points on the ellipse to the two foci of the ellipse is a fixed value.

Question 4: What does a part of an ellipse mean a third.

Question 5: What does ellipse mean? Ellipse Explanation of the word.

Pinyin]: tuǒ yuán

Explanation]:1Also known as "Ellipse". Oblong.

Example sentence]: This girl has a tan, dense hair ......The face plate resembles a ripe peach hanging from the branches, but the jaw is not so pointed, and it appears soft and oval.

Question 6: What does it mean for a person to have an ellipse? 10 points can bend and stretch.

Question 7: What does the ellipse mean It should refer to the positive direction in the integral of the curve, that is, the counterclockwise direction with the right hand to make a fist can be judged by the auspicious book I am very happy to ask your question, you don't need to add any wealth, as long as it is timely is the best reward for us. If there is anything you don't understand, you can ask at any time, I will try my best to answer, I wish you academic progress, thank you.

If the issue is resolved, click "Select as satisfactory answer" below

Question 8: What does ellipse mean Ellipse Definition:

a regular oval line; In particular, it refers to the trajectory of all points where the sum of the old distances of the two fixed points (focal points) of the plane is a constant.

Pinyin]: tuǒ yuán

The ellipse is the sum of the distances from the plane to the fixed points f1 and f2 equal to the constant (greater than |f1f2|The trajectories of the moving point p, f1 and f2 are called the two foci of the ellipse. The mathematical expression is: |pf1|+|pf2|=2a（2a>|f1f2|）。

An ellipse is a type of conic curve, i.e., the section of a cone from a plane, and the circumference of the ellipse is equal to the length of a particular sinusoidal curve in a cycle. <>

Interpretation of the ellipse.

ellipse;elliptic]

a regular oval line; Specifically refers to the trajectory of all points where the sum of the distances (focal points) of the two trouser posture brigades is a constant, and the detailed explanation is also called "ellipse". Oblong. Qing Yao Nai, "Luo Yufeng Ghost Fun Picture" Poem:

You look at the light outside the gap, through the middle of the window, or square or elliptical, oblique and straight. Yang Mo, "Song of Youth", Chapter 1, Part 1: "Her face was oval, white, and crystal clear like transparent jade.

Word decomposition Interpretation of elliptical ellipse elliptical (elliptic) ǒelliptical oblong. (oval) radical : wood; Explanation of the circle circle (circle) á a shape in which the distance from the center point to any point in the periphery is equal:

Rotundity. Circle. Circle.

Cone. Cylinder. Complete and complete:

Complete. Round. Make it thorough:

Since the round beard stool said. Round lie. Round field.

Occupy dreams to determine good fortune: dreams come true. Smooth, slippery:

Sleek. Rounded. Running.