MATERIALS FOR REPAIR REVIEW: BLADES OF DRAWING
COMPAS
Scalimetre
BRACKETS
DRAFT RULE
PENCIL SHARPENER PENCIL OR
Sunday, September 6, 2009
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NEW
MATERIALS FOR REPAIR REVIEW: BLADES OF DRAWING
COMPAS
Scalimetre
BRACKETS
DRAFT RULE
PENCIL SHARPENER PENCIL OR
MATERIALS FOR REPAIR REVIEW: BLADES OF DRAWING
COMPAS
Scalimetre
BRACKETS
DRAFT RULE
PENCIL SHARPENER PENCIL OR
Wednesday, August 5, 2009
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REPAIR TEST DATE FOR PARTIAL INFORMATION
DATE OF TESTING SERVICE
ING.
TELECOMMUNICATIONS SERVICE TIMES: SEMESTER I
Sections: TEL-101M, 102M , 101T, 102T
Monday, July 27, 2009
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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
Friday, July 10, 2009
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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). 
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). Friday, July 3, 2009
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descriptive geometry "descriptive geometry" ING TUESDAY CLASS 07 - JULY - 2009
TYPES OF PLANS OF THE ORTHOGONAL PROJECTION.
-. 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. 
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.
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.
Each of these projections of the object on different sides of the cube will be a view of the object, which are:
VIEW: is the orthogonal projection of a body on a plane behind it with respect to the observer. 
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.
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. Wednesday, July 1, 2009
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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 
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.
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).
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.
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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forum # 4 Innovations Microsoft help developers build better applications faster and
New tools and programs improve collaboration and enable developers to create amazing applications and secure.
During his keynote address at Microsoft Tech • Ed EMEA 2008 Developers, Jason Zander, general manager of the Developer Division at Microsoft Corp., outlined how Microsoft is simplifying the tasks of daily development through the latest technologies, such as Visual Studio 2008 Service Pack 1 (SP1) and. NET Framework 3.5 SP1 as well as new releases Visual Studio 2010 and. NET Framework 4. In addition to disclose more information about Visual Studio 2010, Zander announced new programs and tools designed according to the Development Life Cycle Security (SDL) internal The company, which allows software developers to create more secure and more privacy. Zander said. "We continue to refine and Visual Studio. NET Framework to help simplify the application development process and ultimately improve the daily experience of those who build, managing, implementing or using applications and services." Development
easier today and tomorrow
Designed to simplify and enhance everyday experiences of millions of developers, Visual Studio 2010 offer the following:
• Support for Windows 7. Advances include investments in Visual C + + to simplify the development of native applications based on Windows 7 and support for innovations in Windows 7, including tactile user interfaces.
• Support for Microsoft Office business applications. Updates include the ability to develop applications that work with different versions of Office and provide new support for building applications through SharePoint products and technologies.
• WPF based editor. The new editor offers an unprecedented level of information on an application presented within context, with the code, in an easy to understand.
• Increased investment in C + +. Visual Studio 2010 also marks a major renovation to the environment Integrated Development Environment (IDE) for C + +, not only to support the new trends such as parallel computing, cloud computing and Web services, but also to provide a development experience of C + + class via an IDE capable of climbing the large size of code bases that are typical of the sources of C + +. Jason Zander
Speech - Speech Watch video
Brad Anderson - See video
Learn more about safety initiatives http://www.microsoft.com/latam/seguridad/
information and availability of products
For more information on Visual Studio 2010 and. NET Framework 4 http://www.microsoft.com/visualstudio/2010 visit. The SDL Optimization Model and the Microsoft SDL Threat Modeling Tool, and can be downloaded http://msdn.microsoft.com/en-us/aa570309.aspx. For more information about the SDL Pro Network visit http://www.microsoft.com/sdl. 
New tools and programs improve collaboration and enable developers to create amazing applications and secure.
During his keynote address at Microsoft Tech • Ed EMEA 2008 Developers, Jason Zander, general manager of the Developer Division at Microsoft Corp., outlined how Microsoft is simplifying the tasks of daily development through the latest technologies, such as Visual Studio 2008 Service Pack 1 (SP1) and. NET Framework 3.5 SP1 as well as new releases Visual Studio 2010 and. NET Framework 4. In addition to disclose more information about Visual Studio 2010, Zander announced new programs and tools designed according to the Development Life Cycle Security (SDL) internal The company, which allows software developers to create more secure and more privacy. Zander said. "We continue to refine and Visual Studio. NET Framework to help simplify the application development process and ultimately improve the daily experience of those who build, managing, implementing or using applications and services." Development
easier today and tomorrow
Designed to simplify and enhance everyday experiences of millions of developers, Visual Studio 2010 offer the following:
• Support for Windows 7. Advances include investments in Visual C + + to simplify the development of native applications based on Windows 7 and support for innovations in Windows 7, including tactile user interfaces.
• Support for Microsoft Office business applications. Updates include the ability to develop applications that work with different versions of Office and provide new support for building applications through SharePoint products and technologies.
• WPF based editor. The new editor offers an unprecedented level of information on an application presented within context, with the code, in an easy to understand.
• Increased investment in C + +. Visual Studio 2010 also marks a major renovation to the environment Integrated Development Environment (IDE) for C + +, not only to support the new trends such as parallel computing, cloud computing and Web services, but also to provide a development experience of C + + class via an IDE capable of climbing the large size of code bases that are typical of the sources of C + +. Jason Zander
Speech - Speech Watch video
Brad Anderson - See video
Learn more about safety initiatives http://www.microsoft.com/latam/seguridad/
information and availability of products
For more information on Visual Studio 2010 and. NET Framework 4 http://www.microsoft.com/visualstudio/2010 visit. The SDL Optimization Model and the Microsoft SDL Threat Modeling Tool, and can be downloaded http://msdn.microsoft.com/en-us/aa570309.aspx. For more information about the SDL Pro Network visit http://www.microsoft.com/sdl.
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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. -. 
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. 
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. Tuesday, June 30, 2009
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safe forum # 5 Review
The same must comment on a topic of current technology, do not give repeated themes 
The same must comment on a topic of current technology, do not give repeated themes
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Free Forum # 3 multiset
In mathematics a multiset (also called a pocket or bag, in the original) differs from a set in which each member of it has an associated multiplicity (a natural number) indicating how often the item is a member of the group, for example, in the multiset {a, a, b, b, b, c}, the multiplicities members a, b and c are 2, 3 and 1, respectively. Formal definition
In set theory, a multiset is defined as the pair (A, m) where A is a set and m: A → N is an application of A to N (positive integers). A is called the underlying set of elements. For each to A, the multiplicity of a is the number m (a).
is common to write the function m as a set of ordered pairs {(a, m (a)): a ∈ A}. Since this is, without doubt, the definition (using set theory) of the function m. For example:
• The multiset written as {a, b, b} is defined as {(a, 1), (b, 2)}
• The next {a, a, b}, in turn, is defined as {(a, 2), (b, 1)}, and
• Finally, the multiset {a, b} is defined as {( a, 1), (b, 1)}.
If the set A is finite, the size or length of the multiset (A, m) is the sum of all multiplicities for each element of A:
A submulticonjunto (B, n) of the multiset (A, m) is a subset B ⊆ A and an application n: B → N such that n (a) ≤ m (a).
1. Specific example of how it is applied on a multiset data structure
2. What language do you think you can give a multiset? 
In mathematics a multiset (also called a pocket or bag, in the original) differs from a set in which each member of it has an associated multiplicity (a natural number) indicating how often the item is a member of the group, for example, in the multiset {a, a, b, b, b, c}, the multiplicities members a, b and c are 2, 3 and 1, respectively. Formal definition
In set theory, a multiset is defined as the pair (A, m) where A is a set and m: A → N is an application of A to N (positive integers). A is called the underlying set of elements. For each to A, the multiplicity of a is the number m (a).
is common to write the function m as a set of ordered pairs {(a, m (a)): a ∈ A}. Since this is, without doubt, the definition (using set theory) of the function m. For example:
• The multiset written as {a, b, b} is defined as {(a, 1), (b, 2)}
• The next {a, a, b}, in turn, is defined as {(a, 2), (b, 1)}, and
• Finally, the multiset {a, b} is defined as {( a, 1), (b, 1)}.
If the set A is finite, the size or length of the multiset (A, m) is the sum of all multiplicities for each element of A:
A submulticonjunto (B, n) of the multiset (A, m) is a subset B ⊆ A and an application n: B → N such that n (a) ≤ m (a).
1. Specific example of how it is applied on a multiset data structure
2. What language do you think you can give a multiset?
Wednesday, June 24, 2009
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"descriptive geometry" THEORY CLASS TUESDAY 30 - JUNE - 2009
Descriptive Geometry is the science that aims to study the extent considered under its three dimensions: line, surface and volume. Descriptive Geometry is for the drawing that the grammar for a language.
PROJECTION: is a graphical representation, by whatever method of representing an object, such as we see it. The points of intersection between the plane and rays projection from the point of observation and go through the different points of view, are the projection of the object.
In any projection involves three elements:
- The surface of projection screen, flat box, etc.
1 .- Projection
The plans are named with Greek letters a, b, c, etc.
If two planes perpendicular to each cut are called dihedral angle, if there are three perpendicular planes which intersect or coincide at the same point, forming the trihedral angle. If more than three planes which coincide at one point, form the polyhedral angle.
projection planes can be infinite, but there are three major.
So far we have studied the known Plane Geometry. Then study what is the geometry, which is primarily intended to teach and must be represented in a flat projection on a three-dimensional object that can be derived from its shape, dimensions and elements that constitute it.
Descriptive Geometry is the science that aims to study the extent considered under its three dimensions: line, surface and volume. Descriptive Geometry is for the drawing that the grammar for a language.
PROJECTION: is a graphical representation, by whatever method of representing an object, such as we see it. The points of intersection between the plane and rays projection from the point of observation and go through the different points of view, are the projection of the object.
In any projection involves three elements:
- The point of observation, eye, light source or point of view. From the vantage point of projection rays are emitted, which passes through all the points of the object, penetrating the surface projection (projection of the object).
- The object being observed.
- The surface of projection screen, flat box, etc.
A. TYPES OF PROYCCIÓN.
By varying the point of observation:
By varying the point of observation:
1 .- Conic projection: when the observation point is in the finite (or relatively close to the object projected 
), all projection rays start from the same point observation and form a kind of cone.
), all projection rays start from the same point observation and form a kind of cone. 2 .- Cylindrical Projection: is one in which the viewpoint is at infinity, all projection rays are parallel to each other and the cone obtained in the previous case
becomes a cylinder.
becomes a cylinder.
varying the projection surface:
1 .- Projection
Oblique projection when the rays of an angle either, other than 90 degrees with the plane of projection.
2 .- Orthogonal Projection: projection when the rays are at right angles (90 °) to the projection plane.
3 .- Projected Outlook: Every projection in one view represents a body in three dimensions, with the way ydisposición as we see in space.
B. Projection plane.
planes are undefined, but may be limited by their traces or lines of intersection with each other. The line of intersection of a vertical plane with a horizontal line called Earth.
planes are undefined, but may be limited by their traces or lines of intersection with each other. The line of intersection of a vertical plane with a horizontal line called Earth.
The plans are named with Greek letters a, b, c, etc.
If two planes perpendicular to each cut are called dihedral angle, if there are three perpendicular planes which intersect or coincide at the same point, forming the trihedral angle. If more than three planes which coincide at one point, form the polyhedral angle.
projection planes can be infinite, but there are three major.
- Horizontal Plane: plant also called object or floor plan.
- Plano Vertical: also called standard.
- Plano Side-view or profile, which can be left or right.
land lines or traces of the three planes are the three Cartesian axes X, Y, Z.
land lines or traces of the three planes are the three Cartesian axes X, Y, Z.
Fujita Remote Control
CONIC SECTIONS PRACTICE, TUESDAY CLASS OF 23 - JUNE - 2009
PRACTICE TO BE DELIVERED THE DAY TUESDAY, JUNE 30, NO FOUL.
1 .- Build an ellipse given its two axes. AB is horizontal and CD is 9 and 5.
Scale = 1 / 100
2 .- Build an ellipse given the major axis is horizontal, the two foci F and F 'and the points P1, P2, P3, P4, P5 and P6.
A = 1.5, 0
B = 8.5, 0
F = 2.5, 0
F '= 7.5, 0
P1 = 5.4, 0
P2 = 5.8, 0
P3 = 6.3, 0
P4 = 6.5, 0
P5 = 6.8, 0
P6 = 7.2, 0
SCALE = 1 / 75
3 .- Building a guideline parabola given the vertex and axis EE 'is horizontal.
A = 0.3, 0
B = 0.3, 1.5
C = 0.3, -1.5
E = 0.8, 0
E '= 2.3, 0
SCALE = 1 / 25
4 .- Build a hyperbola given the AA axis 'and the asymptotes BB' and CC 'forming an angle of 60 ° each with the axis AA'.
A = 5, 0
A '= 11, 0
SCALE = 1 / 125 
PRACTICE TO BE DELIVERED THE DAY TUESDAY, JUNE 30, NO FOUL.
1 .- Build an ellipse given its two axes. AB is horizontal and CD is 9 and 5.
Scale = 1 / 100
2 .- Build an ellipse given the major axis is horizontal, the two foci F and F 'and the points P1, P2, P3, P4, P5 and P6.
A = 1.5, 0
B = 8.5, 0
F = 2.5, 0
F '= 7.5, 0
P1 = 5.4, 0
P2 = 5.8, 0
P3 = 6.3, 0
P4 = 6.5, 0
P5 = 6.8, 0
P6 = 7.2, 0
SCALE = 1 / 75
3 .- Building a guideline parabola given the vertex and axis EE 'is horizontal.
A = 0.3, 0
B = 0.3, 1.5
C = 0.3, -1.5
E = 0.8, 0
E '= 2.3, 0
SCALE = 1 / 25
4 .- Build a hyperbola given the AA axis 'and the asymptotes BB' and CC 'forming an angle of 60 ° each with the axis AA'.
A = 5, 0
A '= 11, 0
SCALE = 1 / 125
Monday, June 22, 2009
Human Organs For Sale Pro And Cons Debate
"conic sections" TUESDAY CLASS OF 23 - JUNE - 2009
METHODS OF CONSTRUCTION OF GEOMETRIC CURVE:
1 .- Method to draw an ellipse given its two axes.
- Plot the major axis AB and CD the minor axis, perpendicular to each other by the middle of both axes.
- Making center in the middle "M", we draw two concentric circles with radii equal to MA and MC.
- then divide the two circles in a pair of equal parts. In this case were 12 equal parts.
- On the big points on the circle, draw lines parallel to the axis CD.
- For the points on the circle small to draw lines parallel to the axis AB.
- Where the lines belonging to the same point in two intersecting circles is a point through which passes the curve of the ellipse.
- Repeat this with all the points of two circles.
- Finally a staff of curves joining the points of the ellipse. 2 .-
METHOD GIVEN to draw an ellipse the major axis AB & BULBS FYF '.
- Draw the major axis AB and was seeking the midpoint M and he draws a line perpendicular to AB.
- The axis AB are located at points F and F '.
- are marked several arbitrary points between O and F '.
- Making center F and F 'on OA opening and arches mark to cut the line perpendicular to AB, which results in points C and D, points of the minor axis of the ellipse.
- After making center at F and F 'on opening A1 and arches mark.
- After making center at F and F 'on and B1 mark opening arcs.
- Where they cut the arches are the first points through which the ellipse.
- Do the same with the remaining points between O and F ', to get all points of the ellipse.
- Finally a staff of curves joining the points of the ellipse. 3 .-
METHOD FOR DRAWING A PARABLE BC GUIDELINE GIVEN THE GO
RTIC "A" AND AXLE EE '.
- the vertex is located, BC guideline is drawn and plotted the axis EE '.
- Making centered on "E" and EA is opening an arc to cut the shaft and locate the point "F" which is the focus of the parabola.
- are marked several arbitrary points between E and E '.
- parallel lines are drawn to the guidance for each of the arbitrary points between E and E '.
- Making center "F" and opening A1 describes arcs which cut the line that passes through the point 1 on both sides of the shaft getting the points G and G '.
- Do the same with the remaining points between E and E ', to get all points of the parabola.
- Finally a staff of curves joining the points of the parabola. 4 .-
METHOD GIVEN TO DRAW A hyperbola asymptotes BB 'and CC' AND AXLE AA '.
- Draw the axis AA 'and was looking for the midpoint M.
- By the mid-point M draw the 2 asymptotes.
- For the points A and A 'draw lines parallel to the asymptotes to cut to the asymptotes in the extension, getting the points D0, E0, F0 and G0.
- After opening MD0 is copied to this distance on each of the two asymptotes from the points D0, E0, F0 and G0.
- For each of the items found are drawn parallel to the asymptotes.
- then you'll be looking at the segment midpoint AD0 and draw a parallel to the asymptote, obtaining the point A1.
- To get the other points that make up the parable is the same on.
- then join all the dots with a curved template. 
METHODS OF CONSTRUCTION OF GEOMETRIC CURVE:
1 .- Method to draw an ellipse given its two axes.
- Plot the major axis AB and CD the minor axis, perpendicular to each other by the middle of both axes.
- Making center in the middle "M", we draw two concentric circles with radii equal to MA and MC.
- then divide the two circles in a pair of equal parts. In this case were 12 equal parts.
- On the big points on the circle, draw lines parallel to the axis CD.
- For the points on the circle small to draw lines parallel to the axis AB.
- Where the lines belonging to the same point in two intersecting circles is a point through which passes the curve of the ellipse.
- Repeat this with all the points of two circles.
- Finally a staff of curves joining the points of the ellipse. 2 .-
METHOD GIVEN to draw an ellipse the major axis AB & BULBS FYF '.
- Draw the major axis AB and was seeking the midpoint M and he draws a line perpendicular to AB.
- The axis AB are located at points F and F '.
- are marked several arbitrary points between O and F '.
- Making center F and F 'on OA opening and arches mark to cut the line perpendicular to AB, which results in points C and D, points of the minor axis of the ellipse.
- After making center at F and F 'on opening A1 and arches mark.
- After making center at F and F 'on and B1 mark opening arcs.
- Where they cut the arches are the first points through which the ellipse.
- Do the same with the remaining points between O and F ', to get all points of the ellipse.
- Finally a staff of curves joining the points of the ellipse. 3 .-
METHOD FOR DRAWING A PARABLE BC GUIDELINE GIVEN THE GO
RTIC "A" AND AXLE EE '. - the vertex is located, BC guideline is drawn and plotted the axis EE '.
- Making centered on "E" and EA is opening an arc to cut the shaft and locate the point "F" which is the focus of the parabola.
- are marked several arbitrary points between E and E '.
- parallel lines are drawn to the guidance for each of the arbitrary points between E and E '.
- Making center "F" and opening A1 describes arcs which cut the line that passes through the point 1 on both sides of the shaft getting the points G and G '.
- Do the same with the remaining points between E and E ', to get all points of the parabola.
- Finally a staff of curves joining the points of the parabola. 4 .-
METHOD GIVEN TO DRAW A hyperbola asymptotes BB 'and CC' AND AXLE AA '.
- Draw the axis AA 'and was looking for the midpoint M.
- By the mid-point M draw the 2 asymptotes.
- For the points A and A 'draw lines parallel to the asymptotes to cut to the asymptotes in the extension, getting the points D0, E0, F0 and G0.
- After opening MD0 is copied to this distance on each of the two asymptotes from the points D0, E0, F0 and G0.
- For each of the items found are drawn parallel to the asymptotes.
- then you'll be looking at the segment midpoint AD0 and draw a parallel to the asymptote, obtaining the point A1.
- To get the other points that make up the parable is the same on.
- then join all the dots with a curved template.
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