DESCRIPTIVE GEOMETRY — THE BASE OF COMPUTER GRAPHICS
Abstract and keywords
Abstract (English):
Everyone knows that descriptive geometry is a science, but there is no definition of the computer graphics. If computer graphics is announced as a science, you can continue to call descriptive geometry outdated and to demand of its abolition. But if the computer graphics has nothing to do with the science, and if it is only a tool to perform the procedures of descriptive geometry and other branches of geometry, everyone who tried to discredit descriptive geometry, will be in a difficult position: they will have nothing more to say, because in it is unwise to replace science on tool. It is known that engineering graphics so far does not have the status of science. It is a discipline that fully applies the laws of other geometrical sciences. There are many questions such as: why are there claims that descriptive geometry is 2D? Why do some specialists claim that descriptive geometry is a projection on a single plane? They forgot that descriptive geometry uses the method of two images or method of two traces. But this method of two images is used everywhere! On the first lecture we tell students: the projection is carried out on two planes of projection, a point in space can be fixed only by means of three coordinates and the point must have at least two projections. It means, that descriptive geometry works with three coordinates, in other words — in 3D. The image produced on the display screen in the so-called 3D, is neither more nor less than axonometric projection on the plane — appropriate section of descriptive geometry. In conclusion, the author offers to classify the computer graphics as a tool for the experience of all branches of geometrical science, but not as a free-standing science.

Keywords:
pedagogy, descriptive geometry, computer graphics, engineering graphics, the quality of education.
Text

1. О соотношении начертательной

геометрии и компьютерной графики Общеизвестно, что начертательная геометрия – это наука. Наука об изображениях и база для геометрического моделирования. Это бесспорно и не подлежит сомнению. При этом начертательная геометрия имеет в своем арсенале следующие разделы: проекции в ортогональных проекциях, развертки, аксонометрические проекции, перспективные проекции, проекции с числовыми отметками, теория теней (которая включает построение теней и в ортогональных проекциях, и в аксонометрии, и в перспективе, и в числовых отметках), многомерная начертательная геометрия, мнимая начертательная геометрия, номография. Как видим, проекции в ортогональных проекциях занимают довольно-таки скромное место в общем объеме интересов, попадающих в поле внимания начертательной геометрии. Чтобы узнать, какое – для этого достаточно полистать любой учебник для архитекторов. Скромное. Поэтому вызывает удивление тот факт, что, уцепившись за ортогональные проекции, некоторые наши партнеры изо всех сил пытаются доказать какую-то нелепость, ссылаясь на компьютерную графику.

А что же такое компьютерная графика? Какое место среди учебных дисциплин занимает она? И какое место – среди научных дисциплин? Попробуем разобраться.

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