Curso de geometría métrica, Volume 1. Front Cover. Pedro Puig Adam. Nuevas Graficas, QR code for Curso de geometría métrica. Curso de geometría métrica, Volume 1. Front Cover. Pedro Puig Adam. Patronato de Publicaciones de la Escuela Especial de Ingenieros Industriales, : Curso de Geometria Metrica (2 Tomos).: Esquinas ligeramente dobladas. PRIMERA EDICIÓN de

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Students will develop their capacity for spatial vision, learn to use traditional graphical representation techniques line drawing and freehand drawing and acquire an understanding of metric geometry.

On completion of the course, students will have acquired the ability to: Solve problems requiring the use of plane and spatial geometry; 2. Produce floor plans for a specific engineering structure; 3. Use computer-assisted design software to solve simple problems, and use the conic system to represent a specific engineering structure.

Basic tools in metric geometry: Ruler-and-compass constructions and demonstrations; Floor plans; Technical drawing; The conic system.

Description of basic geometric constructions that will be used during the course. Performing exercises directly related to the previous meeting, drawing trajectories of a given law of motion, or solving other problems of logical geometry. Learn how to make the proposed geometric constructions and understand their basic properties. Definition and classification of various types of projections that will be used throughout the course.

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Definition of orthographic projection American and European. Exercises related to the orthographic projection. In general, a projection direction and a figure will be given and the view of the figure demanded. Exercises where some transformation is applied to the figure rotations will be considered. Pieces with curved faces will be considered; 3. Define the concept of freehand drawing and the basic rules to follow.

To interpret and draw a figure, whose orthographic views are known. Exercises where in addition gekmetria the direct view of a figure, its opposite view is demanded.

The case of arbitrary point on view observed will be also considered. Definition of the contour map system. Representation of points and lines.

To describe how to represent planes and perform basic operations with them.


Circumcenters in real normed spaces

Concepts of parallelism and perpendicularity in the context of contour map plots. Describe how to represent surfaces. Definition of basic elements that are part of a roof and description about how to solve the problem of a roof with contour maps. Apply the concept of “scale”; and “contour interval” in the practical exercises.

Description of the use of contour maps to topographic surfaces. Determination of constant and maximum slope paths. Development of longitudinal profiles.

Pedro Puig Adam

Introduction to the concept of “precision” and “approximation” when representing a topography. Definition of platform and line-shaped construction work. Concepts of dismantling and embankment. To define the surface type in cuttings and fills embankments depending on the shape of the border of geometrka road constant or null slope, curve or straight line.

Resolution of exercises dealing with platforms and line-shaped works roads or other similar cases of civil engineering by applying the concepts explained in the previous session. To know how to represent the most common surfaces spheres, cones, cylinders. Geometric interpretation of the results. Defining the orthogonal axonometric perspective To draw simple figures. Defining the oblique cavalier projection. Representation of points, lines and planes by using cavalier projection. Explaining how to perform basic geometric operations intersection of planes, intersection of lines and planes, Exercises dealing with the following topics: The central projection is classified among the projection types studied during the course.

Their elements and general 3D mechanics is defined gometria the concepts of”vanishing point” and “trace” introduced.

The rules used in order to represent a 3D reality in a 2D space are defined.

A method used to find the central projection of points is defined. Central projection of simple figures are done.

Specific procedures for the cases in metrifa the vanishing point falls outside the paper are exposed. The scale concept of central projection is defined.

Two different methods to impose scaling are exposed. They can be combined in the proposed of exercises. The special case of figures contained in the same plane than the focal point is studied.

In that cases, the central projection is a segment and specific methodologies are explained. Basic theory for the case of aerial views done with central projection the image plane parallel to the base plane.


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Practical exercises of aerial views. Learning to work with visual plans. To apply the theoretical knowledge learned in the previous session to some practical cases. Definition and explanation of basic geometrical concepts including: Exercises related to lesson 1 basic geometrical concepts. Definition and explanation of basic concepts related to triangles, including: Exercises that include aspects related geommetria lesson 2 triangles.

Explanation of general polygon properties. Describe specific properties of parallelograms, trapezoid, rectangle, rhombus and rhomboid. Definition and explanation of basic concepts related to circles, including: Exercises that include aspects related to lessons 3 and 4 polygons and circles. Understand their properties; 1. The final course puih N will be calculated as follows: The exam will consist of two or three exercises.

The exam will consist of a theoretical part and one or two practical exercises. Class tests and exercises will be done without adsm. It will be able to use dd notes and books. The students who does not pass the regular evaluation even if they attended lessons and test, will have the option to carry out a reassessment test during the period set in the academic calendar.

The maximum mark for the reassessment test is five 5. No other oportunity is planed. It is needed to sens an email to the teacher in charge of the course. A posteriori notifications are only considered in case of feometria emergency.

Failure to perform a continuous assessment metriva in the scheduled period will result in a mark of zero in that activity. The course consists of 4 hours metria week of classroom activity large size group. The 4 hours in the large size groups are devoted to theoretical lectures, in which the teacher presents the basic concepts and topics of the subject, shows examples and solves exercises.

Tuesday and Wednesday from Or at agreed hours via email. Exercises during the class. Exercises on the blackboard during class.

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