dihedral system is a graphical representation that is to get the image of an object (in plan and elevation) by projecting beams projecting perpendicular to two principal planes projection, horizontal (PH) and vertical (PV). The object is represented by its front view (projection in the vertical plane) and top view (projection in the horizontal plane), or you can represent your side view, as auxiliary view.
The two figures on the left show the projections or views of a piece main dihedral system, while the right figure is the side view of the same piece, or lateral.
Contents [hide ]
1 Introduction 2 planes projecting main
3 Representation of a point
4 Representation of a line
5 Representation of a plane
6 Representation of a geometric volume
7 Representation of a circle
8 Different systems
9 External links / /
Introduction [edit ]
The descriptive geometry is the science dealing with how to represent a set of two or three dimensions in a plane. The basic system within this system geometry is dihedral or dihedral orthogonal projections. Gaspard Monge, French mathematician, was the one who codified their study and mechanism, for this we use two planes projecting that form between themselves a angle (90 degrees). Plans
main projecting [edit ]
The two planes are the main projecting Horizontal and Vertical. Their intersection is called a land line.
Horizontal Plane (HP): contains the horizontal projection plant. It is divided by the land line (TL) in the horizontal plane Posterior (back) and Horizontal Plane Previous (front). Plano
Vertical (PV): contains the vertical projection or sum . Is subdivided by Earth Line: Superior Vertical Plane (above) and Vertical Plane Inferior (below).
The three main orthogonal projections: front, top and side (elevation, plan and profile).
normally only used planes PH and PV, which cut the land line (LT) giving rise to a subdivision of space into four quadrants or dihedral angles.
also used as auxiliary plane, called:
Plano Profile (PP): contains the lateral left (or right). Plans
bisectors bisectors The two planes are those that divide the quadrants into two octants of 45 º each. The first bisector is the first and third quadrant and the second bisector in the second and fourth quadrant.
to represent in two dimensions (on paper) the main sights in the dihedral system carries out a leeway, which is rotated at, bat, or shoot down a main plane so that the horizontal plane (PH) overlaps the map Vertical (PV).
Representation of a point [ edit]
The two figures on the left correspond to a piece dihedral system view, while the right figure shows a section of the same piece, in isometric projection.
A point in space is represented by its two projections (as a shadow) on the principal planes: horizontal projection and vertical projection. Cota
dimension is called a point in space to the distance between it and its projection in the horizontal plane, or what is the same as the distance between the vertical projection and the Earth line (LT). Withdrawal
is called away from a point in space to the distance between and its projection in the vertical plane, or what is the same as the distance between the horizontal projection and the Earth line (LT). Coordinate Determination
A point can be determined by coordinates, the origin of this system is the intersection of horizontal planes, vertical and side views, taken from support. The X axis is determined by the line intersection of horizontal and vertical planes, ie on the ground line. The Y axis is determined by the line intersection of the horizontal and profile. The Z axis is determined by the line intersection of the vertical and profile.
Representation of a line [ edit]
A line is defined when you know its two projections, horizontal and vertical. The projection of a line on a map is another line formed by the projection of all points of it. Knowing the pairs of projections two points on a line, the projection is obtained by joining. Traces of a line
traces a line are points of intersection with the principal planes (PV and PH)
Representation of a plane [ edit]
A plane is defined by its two tracks: the vertical and horizontal. The trace of a plane are the lines of intersection with the principal planes (PV and HW).
A line belongs to a plane, if the vertical trace line is plotted on the vertical plane and also the horizontal trace of the line is above the horizontal trace of the plane. Chilling
For in true scale, representation of a figure contained in any plane, the plane swoops down on a major
The two figures on the left show the projections or views of a piece main dihedral system, while the right figure is the side view of the same piece, or lateral.
Contents [hide ]
1 Introduction 2 planes projecting main
3 Representation of a point
4 Representation of a line
5 Representation of a plane
6 Representation of a geometric volume
7 Representation of a circle
8 Different systems
9 External links / /
Introduction [edit ]
The descriptive geometry is the science dealing with how to represent a set of two or three dimensions in a plane. The basic system within this system geometry is dihedral or dihedral orthogonal projections. Gaspard Monge, French mathematician, was the one who codified their study and mechanism, for this we use two planes projecting that form between themselves a angle (90 degrees). Plans
main projecting [edit ]
The two planes are the main projecting Horizontal and Vertical. Their intersection is called a land line.
Horizontal Plane (HP): contains the horizontal projection plant. It is divided by the land line (TL) in the horizontal plane Posterior (back) and Horizontal Plane Previous (front). Plano
Vertical (PV): contains the vertical projection or sum . Is subdivided by Earth Line: Superior Vertical Plane (above) and Vertical Plane Inferior (below).
The three main orthogonal projections: front, top and side (elevation, plan and profile).
normally only used planes PH and PV, which cut the land line (LT) giving rise to a subdivision of space into four quadrants or dihedral angles.
also used as auxiliary plane, called:
Plano Profile (PP): contains the lateral left (or right). Plans
bisectors bisectors The two planes are those that divide the quadrants into two octants of 45 º each. The first bisector is the first and third quadrant and the second bisector in the second and fourth quadrant.
to represent in two dimensions (on paper) the main sights in the dihedral system carries out a leeway, which is rotated at, bat, or shoot down a main plane so that the horizontal plane (PH) overlaps the map Vertical (PV).
Representation of a point [ edit]
The two figures on the left correspond to a piece dihedral system view, while the right figure shows a section of the same piece, in isometric projection.
A point in space is represented by its two projections (as a shadow) on the principal planes: horizontal projection and vertical projection. Cota
dimension is called a point in space to the distance between it and its projection in the horizontal plane, or what is the same as the distance between the vertical projection and the Earth line (LT). Withdrawal
is called away from a point in space to the distance between and its projection in the vertical plane, or what is the same as the distance between the horizontal projection and the Earth line (LT). Coordinate Determination
A point can be determined by coordinates, the origin of this system is the intersection of horizontal planes, vertical and side views, taken from support. The X axis is determined by the line intersection of horizontal and vertical planes, ie on the ground line. The Y axis is determined by the line intersection of the horizontal and profile. The Z axis is determined by the line intersection of the vertical and profile.
Representation of a line [ edit]
A line is defined when you know its two projections, horizontal and vertical. The projection of a line on a map is another line formed by the projection of all points of it. Knowing the pairs of projections two points on a line, the projection is obtained by joining. Traces of a line
traces a line are points of intersection with the principal planes (PV and PH)
Representation of a plane [ edit]
A plane is defined by its two tracks: the vertical and horizontal. The trace of a plane are the lines of intersection with the principal planes (PV and HW).
A line belongs to a plane, if the vertical trace line is plotted on the vertical plane and also the horizontal trace of the line is above the horizontal trace of the plane. Chilling
For in true scale, representation of a figure contained in any plane, the plane swoops down on a major
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