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movies subtitles: subtitles.alege.net
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'Google-translated' from the russian subtitles
(no other subtitles could be found online).
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I have made additional corrections for obvious errors.
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Literal translation: Point, tending to zero
English title: Vanishing Point
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educational film
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Take a seat.
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As I said last time,
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We will continue to explore
the laws of perspective.
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Who may we remind you
What is the prospect?
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Perspective - a reflection
lines in mind.
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This is a line or a dedicated space
transmitting three-dimensional structure.
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In essence it is a practical exercise.
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I mean, that a two-dimensional
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third can be calculated.
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Remember that perspective -
close to trigonometry
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because considering the angles.
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Also close to the cartography
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because project a plane in space.
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In fact, the prospect of means
action in two directions,
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One hand shows that there is,
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another - that was
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thus show that it could be.
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It is used as in the imagination,
and in the drawings,
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showing past and future
as well as the present.
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I spoke last week,
that prospect - an ancient science.
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It was used in the theory
the relationship between objects.
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Who can recall
What attachments
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used in the 17th century?
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Isabelle, what do you think?
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We are silent.
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Okay.
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But that does not make me
stop the lesson.
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It seems you do not remember
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that an important device
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mathematicians of the Renaissance were:
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fixed peephole,
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glass surface or grid,
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and thread to set points
tending to zero.
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Today we look at
central perspective.
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This is one of the most
conventional methods
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to represent the difference between the points
figures on the plane.
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This will require
several formulations.
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Let the position "0"
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be a fixed point,
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center of projection is
an observer's eye.
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Otherwise known
as a point of view.
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We start from "0",
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Ray "R"
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connect the various points,
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to show the perspective in the image.
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In the picture
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"T" includes the collection of
the projected points
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or the prospect of the figure.
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The horizontal plane
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passing through the "R",
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splits the image
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following a straight line "H",
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which represents the horizon.
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This line is the limit
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all horizontal planes
perpendicular "T".
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The line of the land - "LL",
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horizontal line
under the image
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is the near abroad
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between "0" eye of the observer
and the plane lands.
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The main point that tends to zero,
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is perpendicular to the projection on the "H".
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"D1"
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and "D2"
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location on the horizon,
equidistant from the "FP".
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They represent a reduction in the "H"
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along "0FP".
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From this it follows that the observer
is not always in the necessary space
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between "FP" and "D" at a distance to
observe parallel lines.
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The eye can thus be subject to optical illusions,
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This in mathematics is called anamorphosis,
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and gives a false representation of reality.
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In conclusion, we can imagine
a straight line,
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clipping all points, tend
to zero, and representing it.
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In the 17th century this was called an aberration.
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Come in.5970
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