Original subtitles

movies subtitles: subtitles.alege.net

'Google-translated' from the russian subtitles (no other subtitles could be found online).

I have made additional corrections for obvious errors.

Literal translation: Point, tending to zero English title: Vanishing Point

educational film

Take a seat.

As I said last time,

We will continue to explore the laws of perspective.

Who may we remind you What is the prospect?

Perspective - a reflection lines in mind.

This is a line or a dedicated space transmitting three-dimensional structure.

In essence it is a practical exercise.

I mean, that a two-dimensional

third can be calculated.

Remember that perspective - close to trigonometry

because considering the angles.

Also close to the cartography

because project a plane in space.

In fact, the prospect of means action in two directions,

One hand shows that there is,

another - that was

thus show that it could be.

It is used as in the imagination, and in the drawings,

showing past and future as well as the present.

I spoke last week, that prospect - an ancient science.

It was used in the theory the relationship between objects.

Who can recall What attachments

used in the 17th century?

Isabelle, what do you think?

We are silent.

Okay.

But that does not make me stop the lesson.

It seems you do not remember

that an important device

mathematicians of the Renaissance were:

fixed peephole,

glass surface or grid,

and thread to set points tending to zero.

Today we look at central perspective.

This is one of the most conventional methods

to represent the difference between the points figures on the plane.

This will require several formulations.

Let the position "0"

be a fixed point,

center of projection is an observer's eye.

Otherwise known as a point of view.

We start from "0",

Ray "R"

connect the various points,

to show the perspective in the image.

In the picture

"T" includes the collection of the projected points

or the prospect of the figure.

The horizontal plane

passing through the "R",

splits the image

following a straight line "H",

which represents the horizon.

This line is the limit

all horizontal planes perpendicular "T".

The line of the land - "LL",

horizontal line under the image

is the near abroad

between "0" eye of the observer and the plane lands.

The main point that tends to zero,

is perpendicular to the projection on the "H".

"D1"

and "D2"

location on the horizon, equidistant from the "FP".

They represent a reduction in the "H"

along "0FP".

From this it follows that the observer is not always in the necessary space

between "FP" and "D" at a distance to observe parallel lines.

The eye can thus be subject to optical illusions,

This in mathematics is called anamorphosis,

and gives a false representation of reality.

In conclusion, we can imagine a straight line,

clipping all points, tend to zero, and representing it.

In the 17th century this was called an aberration.

Come in.