Dominic Cummings

The work of mathematicians on 'pure' problems has often yielded ideas that have waited to be rediscovered by physicists. The work of Euclid, Apollonius and Archimedes on ellipses would be used centuries later by Kepler for his theory of planetary motion.

British Public Servant

Victor Hugo

Mankind is not a circle with a single center but an ellipse with two focal points of which facts are one and ideas the other.

French Author

Bill F. Walsh

I caution against beginning or ending a quotation with ellipses.

American Editor

Johannes Kepler

Planets move in ellipses with the Sun at one focus.

German Scientist

The word 'ellipse' describes the elongated path planets take around the sun, different from a perfect circle.

Planetary Paths

An 'ellipse' is often confused with a circle, remember it's stretched in one direction like an oval.

Not a Circle

In diagrams or art, an 'ellipse' can represent perspective, showing depth or three-dimensionality.

Visual Cues

In writing, an 'ellipse' means words are left out but the meaning is still clear from context.

Implied Words

Using 'ellipse' in sentences makes language more concise, avoiding unnecessary repetition of words.

Concise Language

'Ellipse' is commonly used in conversation to make speech more natural and less formal.

Conversational Brevity

 commercialized by a startup company your stereo science which is funded by the NIH and what you see here is a mouse trying to solve a maze as the six arm maze and as a bit of water in the maze to motivate the mouse to move where he'll just sit there and the goal of course of this maze is to get out of the water and go to a little platform that's under the ellipse top port now mice are

A light switch for...

 The particles bump into each other, but can't get out of each other's way, so the ketchup doesn't flow. Now, let's say you apply a strong force very quickly. That extra force is enough to squish the tomato particles, so maybe instead of little spheres, they get smushed into little ellipses, and boom! Now you have enough space for one group of particles

Why is ketchup so hard...

 they may distribute it in that green area, which is the prior distribution, making it hard for you to return. Now both these sources of information carry important information. And what Bayes' rule says is that I should multiply the numbers on the red by the numbers on the green to get the numbers of the yellow, which have the ellipses,

Daniel Wolpert: The real...

 And those are the tracks of the rover. When we landed, because we had mapped the surface of our landing ellipse before we got down to the surface of the planet we knew that there were some different terrains that we were likely to sample, depending on where we landed. And because we landed at that spot there,

Mars Up Close, Part 2:...

 of how elongated our orbit is. In fact, Earth's orbit is very nearly a perfect circle. However, because Earth's orbit is technically an ellipse, even though it doesn't look like one, and the sun isn't quite exactly at the center, it means that our distance from the sun does change through the year. Ah-ha!

Reasons for the seasons...

 shifted away so the blue ellipse and that's the wrong answer and we're not doing correct cosmology I'm really interested in not only being precise but getting the right answer in the universe because I want to understand how the universe works we live at an incredible

Making sense of...

 throughout the year. But why is it a figure eight and not just a straight line? This is due to another feature of the Earth's revolution, its orbital eccentricity. The Earth's orbit around the Sun is an ellipse, with its distance to the Sun changing at various points.

The Sun’s surprising...

 mathematical descriptions of the shape they need to execute. And these shapes can be varying as a function of time, and you'll see these robots start from a circular formation, change into a rectangular formation, stretch into a straight line, back into an ellipse.

The Future of Flying...

 Computer simulators run thousands of different landing scenarios, mixing and matching values for all of the variables. Weighing all the possibilities, the computer spits out the potential area of impact in the form of a landing ellipse.

What's the difference...

 with arms that are seven feet long. Not only are NBA players ridiculously tall, they are ludicrously long. Had Leonardo wanted to draw the Vitruvian NBA Player, he would have needed a rectangle and an ellipse, not a circle and a square.

Ellipse

Planetary Paths

Not a Circle

Visual Cues

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