Locus

locus

A locus

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In America, the primary locus of choice is the individual.

Responsible for the computation of the algebraic equation of a locus.

locus of all points that are equidistant to a point and a directrix that it is a parabola.

We're going to be able to imagine the locus of neural points that represents your grandmother versus your grandfather.

So there's one point that just by looking at it we could say is going to be in our locus.

In fact the locus of all points are the hyperbole in fact is all of the points that satisfy that condition.

Helped a lot with the implementation of the Locus object, there's quite some math involved in doing it right, and Franco wrote the most difficult parts.

And let's think about the set of all points or the locus of all points that are equidistant to this point right here and this line.

So I have hopefully shown to you that the locus of all points that are equidistant to this point which is really just an arbitrary point.

There's this absolute concentration of being, the absolute concentration of consciousness, awareness, an absolute locus of compassion and love that defines the primary attributes of divinity.

Let's actually mathematically show that the locus of all points that are equidistant to this point and this line this focus and this directrix is in fact, a parabola.

When you construct a locus, you can click on it with the right mouse button and select cartesian equation to see its cartesian equation, whenever it is an algebraic curve of low degree.

This is the locus of all points that are between the directrix, y is equal to k well, they're equidistant to the directrix, y is equal to k, and the focus a comma b.

So let's say I have some point that's in this locus and let me call the point here let me do it in a different color because it's the same color as my directrix x, y.

And you have a point, that's our focus, and it's the coordinate a comma b. that the locus of all points in the xy plane that are equidistant to this focus and this directrix has a shape that

Now the definition of a hyperbola, one of the definitions of a hyperbola, can be the locus of all points where you take the difference not the sum, you take the difference of the distances between the two foci, so if

In fact this is equation of the hyperbola but instead set of writing b squared, since we wrote it, we essentially said, what is the locus of all points where the difference of the distances to those two foci is equal to 2a?

And we've already said that an ellipse is the locus of all points, or the set of all points, that if you take each of these points' distance from each of the focuses, and add them up, you get a constant number.

Now we learned in the last video that one of the definitions of a hyperbola is the locus of all points, or the set of all points, where if I take the difference of the distances to the two foci, that difference will be a constant number.

An ellipse, one of the definitions of an ellipse, was the locus of all points or the set of all points where the distance from each of those points, the sum of the distance from each of those points to the two foci is a constant.

God, Bokh, whatever name you want to call him with, Allah, Ram, Om, whatever the name might be through which you name or access the presence of divinity, it is the locus of absolute being, absolute love and mercy and compassion, and absolute knowledge and wisdom, what Hindus call satchidananda.

In the last video, we learned that an ellipse can be defined as the locus of all points where the sum of the distances to two special points, called foci and let me draw this all out, so that's my x axis the sum of the distance to these two special points, called focuses or foci, is a constant.

And, actually, this is often used as the definition for an ellipse, where they say that the ellipse is the set of all points, or sometimes they'll use the word locus, which is kind of the graphical representation of the set of all points, that where the sum of the distances to each of these focuses is equal to a constant.

If this is one focus point right here, and this is the other focus point, this ellipse could be defined as the set of all points, or the locus of all points, where if I take the distance of any one of these points that exist on the ellipse and take the distance to each of the locuses sorry, each of the focuses if I take that nope, I don't want to do that if I take that distance and add it to this distance, so