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TELL YOU ALL STUDENTS SECTION DRAWING TEL -102M TO BRING YOUR INSTRUMENTS OF DRAWING FOR TUESDAY 28 JULY SO WE CAN MAKE THE FINAL EXAM.

BEGIN REVIEW
8:00 AM and ends at 11:30 AM

MATERIAL 3 SHEETS DRAWING

COMPAS
Scalimetre
BRACKETS
DRAFT RULE


PENCIL SHARPENER PENCIL OR

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FINAL PRACTICE

LA MUST bring PRACTICE FOR THE NEXT CLASS STARTED SO THAT HE MAY HAVE TO CLEAR DOUBTS WHEN PERFORMED AND CAN BE COMPLETED IN CLASS.

BRING ALL THE DRAWING TOOLS: COMPAS, Scalimetre BRACKETS, sheets of drawings, DRAFT, OR PENCIL SHARPENER PENCIL, THE VIEWS OF SOLID PRINTED IN THE YEARS GIVEN AND TAPE OR PLASTIC TIRR PLATE TO SET THE TABLE.

1. Given the six (6) orthogonal projection views. Draw solid axonometric projection from the given point on the ceiling light.
Scale: 1 / 100.

2. After three solid axonometric perspectives, which are given below, draw the six orthogonal views of the same position as shown in the drawing of a cross. Scale: 1 / 100.

NOTE: We recommend using a sheet of half a sheet to make the views of the solid (exercise 2) and a sheet of A4 size for axonometric projection of the solid (year 1).

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descriptive geometry "descriptive geometry" ING TUESDAY CLASS 07 - JULY - 2009

TYPES OF PLANS OF THE ORTHOGONAL PROJECTION.

-. ANY PLAN: given by its traces.

-. MAP SONG: perpendicular to the vertical plane of projection, and the horizontal plane at an angle either.

-. Horizontal plane parallel to the horizontal plane of projection and perpendicular to the vertical plane of projection. -. MAP PIE. Perpendicular to the plane horizontal projection and vertical projection plane at an angle either. -. Frontal plane: parallel to the vertical plane of projection and perpendicular to the horizontal plane of projection. -. MAP PROFILE: parallel to the plane side of projection and perpendicular to the vertical and horizontal projection. -. FLAT LINE PARALLEL TO THE GROUND: is oblique to the vertical and horizontal projection and their traces are parallel to the ground line and is perpendicular to the plane side of projection.

axonometric projection.

These projections have the advantage of the orthogonal projections as well as accurate and artistic perspective, clearly and quickly give a full picture of the object they represent and also the possibility to directly determine its size, thanks to a simple rule of interpretation of object which shows the object in three dimensions: height width and depth.
This procedure is based on a combination of three axes of direction, intersecting angles to each other, forming a rectangle trihedral angle, these three axes are the directions of width, length and height, from a certain point. The dimensions of the object that we represent are placed on guidelines. TYPES

axonometric projection.

1 -. According to the reduction coefficient: -.

ISOMETRIC: If the scales for the three axes are equal, have the same inclination, which is 120 degrees, and three dimensions are the same too. the axis ratio is: OX = 1; OY = 1; OZ = 1.

-. Dimetra: If only two of the axes are the same distance and the third is different. the axis ratio is: OX = 1; OY = ½; OZ = 1.

-. Trimetric: In the event that the axes form three angles unequal, treated with three different scales. the relationship of axis is: OX = 5 / 7; OY = 3 / 7; OZ = 1.

2 -. According to the angles formed by the axes with respect to the ground line:

-. 60 - 30: axes (X, Y) form an angle of 60 º and 30 º respectively. -.
30 - 30: axes (X, Y) form an angle of 30 º and 30 º respectively. -.
45 - 30: axes (X, Y) form an angle of 60 º and 30 º respectively.

NOTE: For the three cases, the actions of the object is placed on the axles without any reducción.Los cases 60 º - 30 º and 45 º - 30 º, are most desirable.

PROJECTION OF SOLIDS USING THE GLASS BOX.

Suppose we want to draw a body inside a transparent cube, where its outline is projected on the walls without distortion of the cube.

Each of these projections of the object on different sides of the cube will be a view of the object, which are:

FRONT: view obtained when observing the object from the front (A).

TOP VIEW: A view obtained when the object is observed above (B).

LEFT SIDE VIEW: A view obtained when observing the object by the side facing to the left of the starting position of the observer (C).

RIGHT SIDE VIEW: A view obtained when observing the subject's face to the right of the starting position of the observer (D).

BOTTOM: view obtained when observing the object below (E).

REAR VIEW: A view obtained when observing the object back (F).

VIEW: is the orthogonal projection of a body on a plane behind it with respect to the observer.

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DESCRIPTIVE GEOMETRY CLASS PRACTICE TUESDAY 30 JUNE, 2009

TO PRACTICE BE DELIVERED ON TUESDAY 07 - JUNE - 2009, NO FOUL.

NOTE: All exercises are done on a scale 1 / 100

1 .- Draw the orthogonal projections (PV - PH - PL) of the subtraction AB and define what kind of line is.
A = 4, 3, 3
B = 7.5, 5, 3

2 .- Draw the orthogonal projections (PV - PH - PL) of the remaining CD and define what kind of line is.
C = 5, 1, 2
D = 5, 5, 2

3 .- Draw the orthogonal projections (PV - PH - PL) from the rest EF and define what kind of line is.
E = 2.5, 1.5, 2.2
F = 6.8, 1.5, 2.2

4 .- Draw the orthogonal projections (PV - PH - PL) of the remaining GH and define what type of line is.
G = 1.3, 4, 2.5
H = 5.7, 0.8, 4.8

5 .- Draw the orthogonal projections (PV - PH - PL) of subtraction IJ and define what kind of line is.
I = 3, 1.7, 1.2
J = 8, 1.7, 4.3

6 .- Draw the orthogonal projections (PV - PH - PL) of subtraction KL and define what kind of line is.
K = 3.7, 2, 0.5
L = 3.7, 2, 4.8

7 .- Draw the orthogonal projections (PV - PH - PL) of the remaining MN and define what kind of line is.
M = 4.2, 1, 6
N = 4.2, 6, 1

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"descriptive geometry" CLASS METHOD OF TUESDAY JUNE 30, 2009

METHOD FOR DESIGNING A POINT AND A STRAIGHT IN THE ORTHOGONAL PROJECTION SYSTEM.

1. Given the coordinates of point A (1x, 1y, 1z), draw its projections in three planes orthogonal projection (PL, PV, PH).

-. Draw the Line Earth (which is an arbitrary horizontal line). -.
Locate the origin of coordinates in the left end of the LT. -.
Locate the X coordinate on the LT. -.
Plot projection rays passing through the coordinate X. -.
Place on the beam projection is in the Z coordinate PV, attach the name of the point with the corresponding superscript (Av). -.
Place on the beam projection is in the PH coordinate and put the name of the point with the corresponding superscript (Ah).
-. If you prune problem statement, locate the projection of point on the PL. -.
Draw a line perpendicular to LT at an arbitrary distance of the projections of the point, extend it at both levels, this represents the trace of the PL with the PH and PV. -.
For horizontal and vertical projections point to draw a parallel auxiliary lines LT and extend up to cut the traces of the PL. -.
Pro point located in the PH Trace draw a line making 45 degrees with the extension of LT. LT after this court draw a line perpendicular to LT .-. When the auxiliary line extended in the front court line is perpendicular to the line of 45 ° is achieved lateral part (Al).

2. Given the coordinates of the points A (1x, 1y, 1z) and B (2x, 2y, 2z), draw the orthogonal projections of the line AB in the three planes of projection (PL, PV, PH).

-. Draw the Line Earth (which is an arbitrary horizontal line). -.
Locate the origin of coordinates in the left end of the LT. -.
Locate the X coordinate of two points on the LT. -.
Plot projection rays passing through the X of the colon. -.
Place on the projection ray that are in the PV Z coordinates of two points, attach the name of the points for a superscript (Av and Bv). -.
Place on the projection rays are in the PH Y coordinates of two points, attach the name of the points for a superscript (Ah and Bh). -.
AYB connect the dots with a line in each of its projections. -. If you prune problem statement, locate the projections of points on the LP. -.
Draw a line perpendicular to LT at an arbitrary distance of the projections of the point, extend it at both levels, this represents the trace of the PL with the PH and PV. -.
For horizontal and vertical projections of points draw auxiliary lines parallel to LT and extend up to cut the traces of the PL. -.
Pro points within the PH Trace lines are drawn to form 45 ° to the extension of LT. After these cut LT lines are drawn perpendicular to LT. -.
When the extensions of the auxiliary lines cut the vertical projection lines are perpendicular to the lines of 45 degrees are achieved lateral projections of (Al and Bl) .-. AYB connect the dots with a line in the projection of the PL.

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"descriptive geometry" CLASS OF TUESDAY, JUNE 30, 2009

ORTHOGONAL PROJECTION

This system will can represent an object in three dimensions, horizontal, vertical and lateral plane, a plane that has only two dimensions.

This involves projecting the object perpendicular to the planes of a dihedral rectum. In this way we obtain a partial representation on each level and relating both projections, we get the total representation of the object.

to represent any object in orthogonal projection should be taken into account:
-. The objects to be projected is placed between the plane and the observer. -.
All points, lines and surfaces opposite to the projection plane are represented as bold and visible continuous. -.
On the projection plane are projected in real size, straight and flat surfaces, located in parallel to the plane of projection. -.
When a line is perpendicular to a plane of projection, its projection on this plane is a point. -.
Cota is the separation distance of the object with the vertical projection plane. Is projected onto the horizontal projection plane. -.
Flight: the height of a point, line or area on the horizontal plane. Is projected onto the vertical projection plane. -.
Draw a line: the point of intersection of the line with any of the planes of projection. The traces can be horizontal, vertical and lateral. -.
Trace of a plane is the horizontal, vertical or lateral, which is formed when a plane touches any projection planes.

Classifications:
-. PP: Map Projection. -.
PV: Plano Vertical. -.
PH: Horizontal Plane. -.
PL: Plain Side. -.
LT: Land Line. -.
VT: True Size. -.
T: Trace.

POINT AND STRAIGHT IN

Orthogonal projection space in the line is defined, either by two points or one point and a direction.
If a point is on a line in space, the projections of this section shall be on the projections of the line.
The lines are named with lowercase letters and the superscript are placed for the plane on which the projection is located: ah, av, al.
The dots are called letters in superscript are placed for the plane on which the projection is located: Mh, Mv, Ml.

According to the position to have the straight line with respect to the planes of projection, are classified as follows: -.

Skew lines, is one that presents an oblique position with respect to the planes of projection, hence its projection is not seen in actual size. -.

STRAIGHT HORIZONTAL: is the line that is parallel to horizontal plane horizontal projection is parallel to it and is in real size. Vertical projection is parallel to the ground. -. STRAIGHT FRONT: is the line that is parallel to the vertical plane vertical projection is parallel to it and is in real size. Horizontal projection is parallel to the ground. -. dotted line: it is one that is perpendicular to the vertical plane, its vertical projection is a point and its horizontal projection is a straight line perpendicular to the ground and is in real size. -.

STANDING STRAIGHT: is one that is perpendicular to the horizontal plane, its horizontal projection is a point and its vertical projection is a straight line perpendicular to the ground and is in real size. -.

STRAIGHT PROFILE: is the line that is parallel to the lateral plane. Lateral projection is in real size. Horizontal and vertical projection are perpendicular to the ground. -. STRAIGHT LINE PARALLEL TO THE GROUND: is the line that is parallel to both the vertical and horizontal, thus the two projections are in real size.