描述几何形成的起源

N. Sal'kov
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引用次数: 4

摘要

“描述几何”的翻译并不完全准确。事实上,这个短语应该翻译成“叙事几何”。基于这一翻译,可以自信地说,所考虑的科学不仅可以作为正交投影的理论基础,它的一个特殊情况是普通绘图,而且可以作为任何图像的理论基础-在这一点上,文章的作者完全同意N.A. Rynin, N.F. Chetverukhin, V.O. Gordon, S.A. Frolov, N.A. Sobolev和许多其他人等权威。本文讨论了几何的一个方向——描述几何的起源。假设提出,在现实中,描述几何,或者更确切地说,它的元素,最初涉及到古代,在原始的公共系统,当在洞穴和岩石的墙壁上作画。正交投影在古代和中世纪被使用,加斯帕德·蒙格在十八世纪末将所有现存的不连贯的描述几何发展系统化,并加入了他自己的研究。最有可能的是,当我们住在洞穴里的祖先面临人口增长导致生活面积增加的问题时,一般的几何是最早的科学。从第一个艺术家在洞穴墙壁上描绘生活场景的那一刻起,描述性几何就开始发展起来:狩猎、捕鱼、部落战争、震惊人们的事件等等。地球上所有的大陆上都有古代艺术家,也许南极洲除外,因为在其他所有的大陆上都发现了岩石雕刻。最早的一次是在25000 - 30000年前。因此,描述几何的元素起源于原始公共系统的假设可以被认为是被证明的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Origins of Formation of Descriptive Geometry
The translation "Descriptive geometry" is not entirely accurate. In fact, the phrase should be translated as "Narrative geometry". Based on this translation, it can be confidently stated that the science under consideration serves not only as a theoretical basis for orthogonal projections, a special case of which are ordinary drawings, but also for any images – in this the author of the article fully agrees with such authorities as N.A. Rynin, N.F. Chetverukhin, V.O. Gordon, S.A. Frolov, N.A. Sobolev and many others. The paper considers the origins of one of the directions of geometry – descriptive geometry. The hypothesis is put forward that in reality descriptive geometry, or rather, its elements, was originally involved in ancient times, during the primitive communal system when making drawings on the walls of caves and rocks. Orthogonal projections were used in the ancient world and in the Middle Ages, and Gaspard Monge at the end of the XVIII century systematized all the existing disconnected developments on descriptive geometry, adding his own research. Most likely, geometry in general was the very first science that originated when our ancestors who lived in caves faced the problem of increasing the living area due to population growth. And descriptive geometry began to develop from the moment when the first artist depicted scenes from life on the cave wall: hunting, fishing, tribal wars, events that shocked people, etc. Ancient artists existed on all continents of the globe, except perhaps Antarctica, since rock carvings were found on all other continents. And the earliest was performed somewhere 25-30 thousand years ago. Thus, the hypothesis that the elements of descriptive geometry originated in the primitive communal system can be considered proven.
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