FOUR-DIMENSIONAL DESCRIPTIVE GEOMETRY ROTATION-DESCRIPTIVE SOLUTION

1965 ◽  
Author(s):  
Ernesto S. Lindgren ◽  
C. E. Lindgren
Keyword(s):  
Descriptive Geometry ◽  
Descriptive Solution

Unfoldings of the Circular Cylinders Having Non-Competitive Axles

2019 ◽  
Vol 17 (16) ◽  
pp. 52-55
Author(s):  
Carmen Popa ◽  
Violeta Anghelina ◽  
Octavian Munteanu
Keyword(s):  
Classical Method ◽  
Descriptive Geometry ◽  
Circular Cylinders ◽  
Intersection Curve ◽  
Engineering Sciences

Abstract The descriptive geometry constitues the foundation of the engineering sciences, so necessary to the specialists of this field. The aim of this paper is to establish the intersection curve between two cylinders and their unfoldings, by using the programmes:AutoCAD and Mathematica. We used the classical method and we first establish the intersection curve and then the cylinders unfoldings. To do this, we used the AutoCAD program. The same unfoldings can be obtained by introducing directly the curve equations (which are inferred) in Mathematica program.

scholarly journals Comparison of Computer Extended Descriptive Geometry (CeDG) with CAD in the Modeling of Sheet Metal Patterns

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 685
Author(s):  
Manuel Prado-Velasco ◽  
Rafael Ortiz-Marín
Keyword(s):  
Sheet Metal ◽  
Computer Aided Design ◽  
Parametric Modeling ◽  
Descriptive Geometry ◽  
The Novel ◽  
Forming Process ◽  
Solid Models ◽  
Design Software ◽  
Solid Edge ◽  
Aided Design

The emergence of computer-aided design (CAD) has propelled the evolution of the sheet metal engineering field. Sheet metal design software tools include parameters associated to the part’s forming process during the pattern drawing calculation. Current methods avoid the calculation of a first pattern drawing of the flattened part’s neutral surface, independent of the forming process, leading to several methodological limitations. The study evaluates the reliability of the Computer Extended Descriptive Geometry (CeDG) approach to surpass those limitations. Three study cases that cover a significative range of sheet metal systems are defined and the associated solid models and patterns’ drawings are computed through Geogebra-based CeDG and two selected CAD tools (Solid Edge 2020, LogiTRACE v14), with the aim of comparing their reliability and accuracy. Our results pointed to several methodological lacks in LogiTRACE and Solid Edge that prevented to solve properly several study cases. In opposition, the novel CeDG approach for the computer parametric modeling of 3D geometric systems overcame those limitations so that all models could be built and flattened with accuracy and without methodological limitations. As additional conclusion, the success of CeDG suggests the necessity to recover the relevance of descriptive geometry as a key core in graphic engineering.

scholarly journals Congruence pairs of principal MS-algebras and perfect extensions

2020 ◽  
Vol 70 (6) ◽  
pp. 1275-1288
Author(s):  
Abd El-Mohsen Badawy ◽  
Miroslav Haviar ◽  
Miroslav Ploščica
Keyword(s):  
Boolean Algebra ◽  
Congruence Lattices ◽  
Descriptive Solution ◽  
The One ◽  
Special Case ◽  
Congruence Pair

AbstractThe notion of a congruence pair for principal MS-algebras, simpler than the one given by Beazer for K2-algebras [6], is introduced. It is proved that the congruences of the principal MS-algebras L correspond to the MS-congruence pairs on simpler substructures L°° and D(L) of L that were associated to L in [4].An analogy of a well-known Grätzer’s problem [11: Problem 57] formulated for distributive p-algebras, which asks for a characterization of the congruence lattices in terms of the congruence pairs, is presented here for the principal MS-algebras (Problem 1). Unlike a recent solution to such a problem for the principal p-algebras in [2], it is demonstrated here on the class of principal MS-algebras, that a possible solution to the problem, though not very descriptive, can be simple and elegant.As a step to a more descriptive solution of Problem 1, a special case is then considered when a principal MS-algebra L is a perfect extension of its greatest Stone subalgebra LS. It is shown that this is exactly when de Morgan subalgebra L°° of L is a perfect extension of the Boolean algebra B(L). Two examples illustrating when this special case happens and when it does not are presented.

Practical Descriptive Geometry

1953 ◽  
Vol 37 (322) ◽  
pp. 316
Author(s):  
P. Shaw ◽  
Hiram E. Grant
Keyword(s):  
Descriptive Geometry

Descriptive geometry: Designing surfaces

2021 ◽  
Author(s):  
Nikolay Sal'kov
Keyword(s):  
Higher Education ◽  
Geometric Design ◽  
Descriptive Geometry ◽  
Federal State ◽  
Educational Standards ◽  
Fields Of Study ◽  
Level Of Knowledge ◽  
Frame Method ◽  
State Educational

In the textbook, in addition to the geometric design of surfaces, the elements of analytical and parametric geometries are proposed that contribute to the design and bring the result to a higher level of knowledge, as well as a frame method for designing surfaces. Meets the requirements of the federal state educational standards of higher education of the latest generation. For students of the specialties "Architect" and " Designer of the architectural environment "(qualifications "bachelor", "specialist", "master"). It may be useful for students of other fields of study.

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