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Returning user. Log in to create playlists. Log in to comment. Caio Duarte 6 years ago. Feathers 6 years ago. This is so good. Guillaume Grosso and Jeremy Duval did an awesome job with this tune.

The Director captured this perfectly. Julien Carot is super.

Some key Geometric Principles. 1. A line projects as a true length when a view is taken looking perpendicular to the line. •. A line parallel to the VP will appear. Principles of Geometry is an electronic music band from Lille, France, which consists of Guillaume Grosso and Jeremy Duval.

Feathers from Miami,Fl. Portraying the Earth about to collide into the sun, the film was shot this summer between Paris and Saint Christophe-sur-Avre, Normandy, with shooting held up for days as Carot insisted on waiting for a heat wave and piercing sun overhead to capture the sense of imminent disaster.

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Figures are congruent when, if one of them were placed on the other, they would exactly coincide. Congruent figures are thus equal to one another in all respects. A parallelogram is a quadrilateral whose opposite sides are parallel.

Principles of Geometry - Lonnie

A circle is a plane figure bounded by one line, called the circumference , such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another. And that point is called the center of the circle. A diameter of a circle is a straight line through the center and terminating in both directions on the circumference. A straight line from the center to the circumference is called a radius ; plural, radii.

To draw a straight line from any point to any point. To draw a circle whose center is the extremity of any straight line, and whose radius is the straight line itself. If a straight line that meets two straight lines makes the interior angles on the same side less than two right angles, then those two straight lines, if extended, will meet on that same side. That is, if angles 1 and 2 together are less than two right angles, then the straight lines AB, CD , if extended far enough, will meet on that same side; which is to say, AB, CD are not parallel. Things that coincide with one another are equal to one another.

A definition clarifies the idea of what is being defined, and gives it a name. What has that name obviously exists as an idea, for we have understood the definition; or at least, we should. But to say that something exists for mathematics, we must mean that it exists not merely as an idea. We must mean that we can represent in the physical world. And so an "equilateral triangle" is defined.

But the very first proposition presents the logical steps that allow us to construct a figure that satisfies the definition.

We can then say that an equilateral triangle has its mathematical existence. The definition of an equilateral triangle describes something we can actually witness and draw. Again, a figure is an idea. But what we draw obviously has width. Therefore what we draw symbolizes or represents the idea. In fact, we say, "Let AB be the given straight line.

By maintaining the logical separation of a definition and its physical representation, mathematics becomes a science in the same way that physics is a science. It was geometry that led the way. Geometry was the first science. By requiring that a definition does not assert its physical existence, mathematics avoids dealing in fantasies and the possibility of contradictions.

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For example, by a "hemigon" I mean a rectilineal figure that has half as many sides as angles. Do you understand?

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