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Balajti (University of Miskolc, 2024). The material explains the decisive role of descriptive geometry in transferring spatial objects to the drawing plane and building three-dimensional visual perception. The course focuses on systematizing essential design-geometry knowledge and enabling independent problem solving through the negotiation method, supporting bijective representations and constructive solutions using practical tasks and theoretical study. Diagrams were produced with AutoCAD 2021 and CREO Parametric.",{"@graph":69,"@context":114},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/practice-worksheets-for-learning-descriptive-geometry-for-mechanical-engineering-students/664042/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/practice-worksheets-for-learning-descriptive-geometry-for-mechanical-engineering-students/664042.png","ImageObject",300,407,{"name":92,"@type":93},"Riley West","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-29",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108],{"name":109,"@type":110,"acceptedAnswer":111},"Which software was used to create the diagrams?","Question",{"text":112,"@type":113},"The diagrams were created with AutoCAD2021 designer and CREO Parametric 3D modeling software.","Answer","https://schema.org",{"og:url":83,"og:type":116,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":118,"canonical":83},"index,follow",{"doc_id":120,"site_id":62},664042,1793237431,{"code":4,"msg":5,"data":123},{"doc_id":120,"user_id":124,"nickname":92,"user_avatar":125,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":126,"file_id":127,"file_url":128,"file_type":129,"file_size":130,"view_count":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":131,"language":132,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":133,"faqs":134,"seo_title":135,"seo_description":67,"update_tm":121,"read_time":136},1099523885074,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","UNIVERSITY OF MISKOLCI FACULTY OF MECHANICAL ENGINEERING INSTITUTE OF MATHEMATICS  \nPRACTICE WORKSHEETS  \nFOR LEARNING  \nDESCRIPTIVE GEOMETRY  \nFOR MECHANICAL ENGINEERING  \nSTUDENTS  \nCREATED BY  \nZsuzsanna Óváriné Dr. habil. Balajti  \nuniversity associate professor  \nMiskolc, 2024.  \nZsuzsanna Óváriné Dr. habil. Balajti  \nuniversity associate professor  \nPRACTICE WORKSHEETS  \nFOR LEARNING DESCRIPTIVE GEOMETRY  \nFOR MECHANICAL ENGINEERING STUDENTS  \nINTRODUCTION  \nDescriptive geometry is known to be of decisive importance in two areas.  \nThe first is that after the spatial objects have been clearly mapped onto the plane one by one, constructions can be made for the spatial objects in the plane of the drawing.  \nAnother key importance of descriptive geometry is the development of a mathematical visual perception of objects in three-dimensional space.  \nThe main goal of the course is for the practitioner of descriptive geometry to develop a practical view of space through the visual geometric perception of space, which already takes into account the possibilities and limitations of model making during planning and leads to a solution that can be created, which the mechanical engineer can also communicate by developing editing skills.  \nIn the course material, the basic geometrical knowledge essential for design engineering practice and the comprehensive principles, the discussion of which aims to develop the ability to apply independently, have been systematized.  \nThe negotiation method is adapted to the needs of construction subjects so that the student, design engineer candidate can successfully recognize the geometrical content of the engineering tasks, deal effectively with the strict geometric formulation of the question, and come to a constructive solution independently. The careful study of the theoretical curriculum and the independent solution of the practical tasks in close unity develop the skills for the bijective representation of spatial objects and the constructive solution of spatial geometry tasks in the plane of the drawing.  \nThe examples of the practice worksheets for students of the Industrial Product and Design Engineering BSC program at the Faculty of Mechanical Engineering and Information Technology of the University of Miskolc are related to the subject areas to be learned within the framework of the Descriptive Geometry course, but at the same time, they are also useful for mechanical engineering students and students of other faculties.  \nThe diagrams of the practice worksheets were created with AutoCAD2021 designer and CREO Parametric 3D modelling software.  \nMiskolc, 2024.  \nThe author  \nCONTENT  \nGLOSSARY ................................................................................................................................................ 6  \n1.1. OVERVIEW OF SOME PLANAR GEOMETRY CONSTRUCTIONS...........................................................10  \n1.2. CREATION OF ORDERED PROJECTIONS..............................................................................................12  \n1.3. ORDERED PROJECTIONS AND RECONSTRUCTION OF COMPLICATED SHAPES.................................14  \n1.4. ORDERED PROJECTIONS OF POINTS.................................................................................................. 16  \n2.1. THE MONGE REPRESENTATION OF THE POINT................................................................................. 18  \n2.2. REPRESENTATION OF THE STRAIGHT LINES...................................................................................... 20  \n2.3. REPRESENTATION OF THE PLANES.................................................................................................... 22  \n3.1. INTERSECTIONS OF T HE BASIC ELEMENTS........................................................................................ 24  \n4.1. THE TRANSFORMATION..................................................................................................................... 2","cbCailUxuYGRVfsA","https://ap.wps.com/l/cbCailUxuYGRVfsA","pdf",4031549,75,"English","# GLOSSARY\n## 1.1. OVERVIEW OF SOME PLANAR GEOMETRY CONSTRUCTIONS\n## 1.2. CREATION OF ORDERED PROJECTIONS\n## 1.3. ORDERED PROJECTIONS AND RECONSTRUCTION OF COMPLICATED SHAPES\n## 1.4. ORDERED PROJECTIONS OF POINTS\n# 2.1. THE MONGE REPRESENTATION OF THE POINT\n## 2.2. REPRESENTATION OF THE STRAIGHT LINES\n## 2.3. REPRESENTATION OF THE PLANES\n# 3.1. INTERSECTIONS OF THE BASIC ELEMENTS\n# 4.1. THE TRANSFORMATION\n## 4.2. TRANSFORMATION OF THE SPACE ELEMENTS INTO SPECIAL POSITIONS\n# 5.1. INTERSECTION OF THE PYRAMID WITH STRAIGHT LINE\n## 5.2. INTERSECTION OF THE PRISM WITH BASE ELEMENTS\n## 5.3. ROTATION OF THE PYRAMID SIDE-SURFACE INTO THE BASE PLANE\n# 6.1. DIMENSIONS IN SPECIAL SITUATIONS\n## 6.2. DIMENSIONS ON THE PYRAMID\n# 7.1. REPRESENTATION OF THE CIRCLE\n# 8.1. THE SPHERE\n## 8.2. INTERSECTION OF THE SPHERE\n# 9.1. ROTATION OF THE PYRAMID SIDE-SURFACE INTO THE BASE PLANE\n# 10.1. THE CONE\n## 10.1. INTERSECTIONS OF THE CONE\n# 11.1. THE INTERSECTIONS\n# 12.1. THE MOTION CURVES","[{\"question\":\"Which software was used to create the diagrams?\",\"answer\":\"The diagrams were created with AutoCAD2021 designer and CREO Parametric 3D modeling software.\"}]","PRACTICE WORKSHEETS - FOR LEARNING DESCRIPTIVE GEOMETRY - FOR MECHANICAL ENGINEERING STUDENTS | PDF",189]