Well , it wouldn't be able to be tangent to the hyperbola.

In physics, a contact force is a force that acts at the point of contact between two objects, in contrast to body forces.

This is just what sine, cosine, and tangent are.

It is not possible to confirm or to deny that this may have been a contact wound (with the end of the muzzle of the gun in contact with the head at the time the shot was fired).

So Line L is tangent. Tangent to the circle.

So we have to specify. It's not tangent to that one, it's tangent to this one.

Such transition zones are known as ecotones.

And then how can it be tangent to the hyperbola?

So if we take something out here and we try to draw a tangent from this part of the circle out there, it wouldn't work.

So any tangent is going to have to have a higher slope out here.

Anything tangent to the hyperbola is going to have to have a higher slope than this actual line.

It's a dot! It's a dot, a dot!

It's, it's a dot!

It's a dot, a dot!

In contrast a contact force is a force applied to a body by another body that is in contact with it.

So now that we have the visualization down, in the next video let's try to figure out what that line might look like, especially when we constrain it to having to be tangent to the circle and having to be tangent to this hyperbola.

Point to Point

Dash Dot Dot

Ah! It's a dot, a dot!

PtP Address

PtP Address

PtP Address

Select the point which the similitude should map onto another point...

Ah! It's a dot. A dot...

It is not possible to confirm or to deny that it may have been a contact wound (with the end of the muzzle of the gun in contact with the head at the time the shot was fired).

This quad has a racket strapped onto its head with a sweet spot roughly the size of an apple, so not too large.

Test whether a given point have the same distance from a given point and from another given point

Construct the midpoint of this point and another point

Apply a similitude mapping this point onto another point

Select the point onto which the similitude should map the first point...

So if we find a line that's tangent maybe there and there on the hyperbola, then we might have found our common tangent with positive slope.

That's our starting y point, over our finishing x point minus our starting x point.

Apply a similitude mapping a point onto this point

48 crossing points 123 crossing points

So this is an inflection point.

So let's just make this over here our starting point and make that our ending point.

Or, we can view it as the y value of our end point minus the y value of our starting point over the x value of our end point minus the x value of our starting point.

Select the point which might have the same distance from two other points...

0 is a critical point.

And so this intersection point is the midpoint.

So midpoint formula.

And that was a turning point, that was THE turning point.

pt

Point

point