Tuesday, March 24, 2009

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Tuesday, March 17, 2009

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Sunday, March 15, 2009

Wednesday, March 11, 2009

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Diedric


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

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Tuesday, March 10, 2009

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Sunday, March 8, 2009

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Saturday, March 7, 2009

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PROJECTION DRAWING INSTRUMENTS Diedric


PROJECTION SYSTEM Diedric
dihedral projection system basically consists of two planes of projection, perpendicular each other, called: principal planes of projection, and in particular way: vertical projection (VP) and horizontal projection (HP). The main components of the projection system dihedral are
PV (vertical projection),
PH (horizontal projection): a 900 with the PV,
LT (land line) is the intersection between the vertical and horizontal projection
O (origin): point common to the three coordinate axes, from which the coordinates are measured points,
X (y-axis coordinate x) axis on which they are measured coordinates (x ) of points, matches the line land,
Y (coordinate axis y): the axis about which the coordinates are measured (y) of points,
Z (z coordinate axis) axis on which the coordinates are measured (z) of points ,

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The cavalier perspective is a system of parallel oblique projection, in which the dimensions of projecting frontal plane, such as parallel elements to it, are true magnitude .

cavalier perspective. The semicircle parallel to the frontal plane is in real size (without deformation).
in cavalier perspective, two-dimensional projected volume to represent at the real scale and the third with a reduction coefficient. The two angular dimensions without distortion with scale lengths are width and height (x, y) while the dimension that reflects the depth (z) is reduced by a 1:2 ratio.
X and Y axes form an angle of 90 degrees, and Z axis is usually 45 degrees (or 135 º) for both.
can easily draw a volume from a side view or elevation , drawing from each vertex lines parallel to Z, to reflect the depth of the volume.
This type of projection is often used for its ease of implementation, although the final result does not give an image as real as that obtained with a conical projection .

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ISOMETRIC DRAWING


The isometric drawing. The word isometric means "equal measure" and comes from the prefix "isos" meaning equal and the word metric that expresses or means "measure." Thus, isometric means that three-dimensional drawing that has been done with axes inclined at an angle of 30 ° to the horizontal
One of the great advantages of isometric drawing is that you can make the design of any model without using any scale especially since the lines parallel to the axes taken in its true light. For example, the bucket when you draw in isometric form with all its edges is equal medida.EJES USED IN ISOMETRIC DRAWING. The base of the isometric drawing is a three axes are called isometric axes "representing the three edges of a cube, which together form angles of 120 ° a) isometric lines. Are those lines that are parallel to any of the three axes isométricosb) NO LINES isometric. Sloping lines are those on which you can not measure true distances, these lines when they are present in an isometric drawing and are not along the axes and are parallel to themselves. In addition, non-isometric lines are drawn taking as reference points other items belonging to isometric lines

Thursday, March 5, 2009

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PERSPECTIVE DRAWING. The cavalier perspective 1.
cavalier perspective to draw an object:
• 1-axis is plotted corresponding to the three dimensions of space: the width, length and height or depth. The axes of the width and height are perpendicular to the length or depth is 45 degrees with the other
PERSPECTIVE DRAWING. The cavalier perspective 2.
cavalier perspective to draw an object:




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• 2 nd floor is drawn from the object. On the lines of depth measurements are reduced by half or 2 / 3 parts.






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• 3 º are lifted and marked vertical heights.




Sunday, March 1, 2009

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REINFORCEMENT TICS INTERPRETATION OF PLANS


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