Параметризация кривых в AutoCAD на примере овалов Кассини

A new approach to the integrated study of descriptive geometry and computer graphics in a higher educational institution on the basis of in-depth study of some topics is proposed. The technique is demonstrated in a practical example devoted to the consideration of the possibility of quick creation and investigation of the properties of Cassini ovals on the basis of creating a parametric block using the analytical formula in the system of automated design AutoCAD Autodesk. In the process of investigation, the features of fourth-order curves are analyzed as a result of the intersection of the torus by planes parallel to the axis of rotation of the torus, the dependence of the shape of the curves on the ratio of the parameters. 3D-models of torus surfaces and their sections corresponding to the conditions for constructing curves are constructed. The method of reconstructing the metric of tori along the contours of the obtained sections in the form of Cassini ovals is considered.Предложен новый подход к интегрированному изучению курсов начертательной геометрии и компьютерной графики для инженерных направлений подготовки в учебных заведениях высшего профессионального образования на основе углубленного изучения отдельных тем. Методика продемонстрирована на практическом примере, в котором рассмотрены возможности создания и исследования свойств овалов Кассини на базе создания параметрического блока по аналитической формуле в AutoCAD. В процессе исследования проанализированы особенности кривых четвертого порядка как результата пересечения тора плоскостями, параллельными оси вращения тора, зависимость формы кривых от соотношения параметров. В работе рассматривается задача воссоздания метрики торов по контурам полученных сечений методами начертательной геометрии и с помощью SD-моделирования. На основе полученных кривых построены поверхности с образующими или направляющими, являющимися овалами Кассини

ОПЫТ ВАКЦИНАЦИИ ПРОТИВ ПНЕВМОКОККОВОЙ ИНФЕКЦИИ ДЕТЕЙ РАННЕГО ВОЗРАСТА В ЦЕНТРЕ ВАКЦИНОПРОФИЛАКТИКИ Г. ЛИПЕЦКА

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Параметризация кривых в AutoCAD на примере овалов Кассини

A new approach to the integrated study of descriptive geometry and computer graphics in a higher educational institution on the basis of in-depth study of some topics is proposed. The technique is demonstrated in a practical example devoted to the consideration of the possibility of quick creation and investigation of the properties of Cassini ovals on the basis of creating a parametric block using the analytical formula in the system of automated design AutoCAD Autodesk. In the process of investigation, the features of fourth-order curves are analyzed as a result of the intersection of the torus by planes parallel to the axis of rotation of the torus, the dependence of the shape of the curves on the ratio of the parameters. 3D-models of torus surfaces and their sections corresponding to the conditions for constructing curves are constructed. The method of reconstructing the metric of tori along the contours of the obtained sections in the form of Cassini ovals is considered.Предложен новый подход к интегрированному изучению курсов начертательной геометрии и компьютерной графики для инженерных направлений подготовки в учебных заведениях высшего профессионального образования на основе углубленного изучения отдельных тем. Методика продемонстрирована на практическом примере, в котором рассмотрены возможности создания и исследования свойств овалов Кассини на базе создания параметрического блока по аналитической формуле в AutoCAD. В процессе исследования проанализированы особенности кривых четвертого порядка как результата пересечения тора плоскостями, параллельными оси вращения тора, зависимость формы кривых от соотношения параметров. В работе рассматривается задача воссоздания метрики торов по контурам полученных сечений методами начертательной геометрии и с помощью SD-моделирования. На основе полученных кривых построены поверхности с образующими или направляющими, являющимися овалами Кассини

Об интеграции курсов компьютерной и инженерной графики для инженерных специальностей

The review of teaching properties of computer and engineering graphics courses and the possibilities of it’s merging. The analysis of conditions of studying quality and student interest in study process increase.Рассмотрены вопросы преподавания курсов компьютерной и инженерной графики и возможностях их слияния. Проанализированы предпосылки повышения качества обучения и заинтересованности студентов в учебном процессе

Using Parametric Blocks for Construction of Flat Algebraic Curves in AutoCAD by the Example of Cassini Ovals

Designing surfaces of complex shape is in demand in various industries. Forms of such surfaces are flat curves. However, the variety of these curves remains unclaimed by constructors, architects, designers due to the lack of tools for the rapid construction of these curves in modern graphical systems AutoCAD, Inventor, Revit, KOMPAS, etc. The article suggests a convenient and generally available method for constructing any curves defined by mathematical methods in AutoCAD by creating parametric blocks. For example, the lines obtained by the section of the torus by a plane parallel to the axis are chosen (curves of the fourth order are Cassini's ovals). In the process of investigation, the features of fourth-order curves are analyzed as a result of the intersection of the torus by planes parallel to the rotation axis of the torus, the shape dependence of the shape of the curves on the ratio of the parameters. We consider the problem of reconstructing the tonic metric and forming a model of a spatial object along the contours of the obtained sections by the methods of descriptive geometry and using 3-d modeling. On the basis of the obtained curves, surfaces with generators or guides, which are Cassini ovals, are constructed

NEPHROLOGIST'S PRACTICAL ADVICE

Pathology of kidneys and urinary tracts are some of the most widespread in infancy. The «discreet» course of a number of diseases quite often results in diagnostics only at the stage of progression into chronic kidney insufficiency. It is very important to notice the changes in the condition of a child and consult the nephrologist. In this article authors cover relevant issues of diagnostics and treatment of children with pathology of kidney and urinary tract.Key words: kidney diseases, diagnostics, children

NEPHROLOGIST'S PRACTICAL ADVICE

Pathology of kidneys and urinary tracts are some of the most widespread in infancy. The «discreet» course of a number of diseases quite often results in diagnostics only at the stage of progression into chronic kidney insufficiency. It is very important to notice the changes in the condition of a child and consult the nephrologist. In this article authors cover relevant issues of diagnostics and treatment of children with pathology of kidney and urinary tract.Key words: kidney diseases, diagnostics, children

Crystal structure of cyclo-tris(μ-3,4,5,6-tetrafluoro-o-phenylene-κ2 C 1:C 2)trimercury-tetracyanoethylene (1/1)

The title compound, [Hg3 (C6F4)3]·C6N4, contains one molecule of tetracyanoethylene B per one molecule of mercury macrocycle A, i.e., A•B, and crystallizes in the monoclinic space group C2/c. Macrocycle A and molecule B both occupy special positions on a twofold rotation axis and the inversion centre, respectively. The supramolecular unit [A•B] is built by the simultaneous coordination of one of the nitrile N atoms of B to the three mercury atoms of the macrocycle A. The Hg⋯N distances range from 2.990 (4) to 3.030 (4) Å and are very close to those observed in the related adducts of the macrocycle A with other nitrile derivatives. The molecule of B is almost perpendicular to the mean plane of the macrocycle A at the dihedral angle of 88.20 (5)°. The donor-acceptor Hg⋯N interactions do not affect the C=N bond lengths [1.136 (6) and 1.140 (6) Å]. The trans nitrile group of B coordinates to another macrocycle A, forming an infinite mixed-stack [A•B]∞ architecture toward [101]. The remaining N atoms of two nitrile groups of B are not engaged in any donor-acceptor interactions. In the crystal, the mixed stacks are held together by intermolecular C - F⋯C=N secondary interactions [2.846 (5)-2.925 (5) Å]

Crystal structure of cyclo-tris(mu-3,4,5,6-tetrafluoroo-phenylene-kappa C-2(1):C2)trimercury-tetracyanoethylene (1/1)

The title compound, [Hg-3(C6F4)(3)]center dot C6N4, contains one molecule of tetracyanoethylene B per one molecule of mercury macrocycle A, i.e., AeB, and crystallizes in the monoclinic space group C2/c. Macrocycle A and molecule B both occupy special positions on a twofold rotation axis and the inversion centre, respectively. The supramolecular unit [A center dot B] is built by the simultaneous coordination of one of the nitrile N atoms of B to the three mercury atoms of the macrocycle A. The Hg center dot center dot center dot N distances range from 2.990 (4) to 3.030 (4) angstrom and are very close to those observed in the related adducts of the macrocycle A with other nitrile derivatives. The molecule of B is almost perpendicular to the mean plane of the macrocycle A at the dihedral angle of 88.20 (5). The donor acceptor Hg" "o"N interactions do not affect the C=N bond lengths [1.136 (6) and 1.140 (6) Al. The trans nitrile group of B coordinates to another macrocycle A, forming an infinite mixed -stack [A center dot B]infinity architecture toward [101]. The remaining N atoms of two nitrile groups of B are not engaged in any donor acceptor interactions. In the crystal, the mixed stacks are held together by intermolecular C-F center dot center dot center dot C=N secondary interactions [2.846 (5)-2.925 (5) angstrom]