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Overlapping Circles Grid Drawn with Compass and Straightedge on an Egyptian Artifact of 14th Century BC

机译:在公元前14世纪的埃及文物上用罗盘和直尺绘制的重叠圆网格

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摘要

The study of the mathematics and geometry of ancient civilizations is a task which seems to be very difficult or even impossible to fulfil, if few written documents, or none at all, had survived from the past. However, besides the direct information that we can have from written documents, we can gain some indirect evidence on mathematics and geometry also from the analysis of the decorations we find on artifacts. Here, for instance, we will show that ancient Egyptians were able of making geometric constructions using compass and straightedge, quite before the Greek Oenopides of Chois, who lived around 450 BC, had declared some of their basic principles. In fact, a wood panel covered by an overlapping circles grid pattern, found in the tomb of Kha, an architect who served three kings of 18th Dynasty (1400-1350 BC), evidences that some simple constructions with compass and straightedge were used in ancient Egypt about nine centuries before Oenopides' time.
机译:古代文明的数学和几何学研究是一项任务,如果过去没有幸存的书面文件,或者根本没有,则似乎很难实现,甚至不可能实现。但是,除了可以从书面文件中获得直接信息外,我们还可以通过分析在人工制品上发现的装饰来获得一些关于数学和几何学的间接证据。例如,在这里,我们将证明古埃及人能够使用罗盘和直尺进行几何构造,就在大约公元前450年居住的希腊Chois的Oenopides宣布了一些基本原理之前。实际上,在为18世纪王朝(公元前1400-1350年)的三位国王服务的建筑师卡哈墓中发现了一块覆盖有重叠圆网格图案的木板,这表明古代使用了一些简单的带有罗盘和直尺的结构埃及在Oenopides时代之前大约九个世纪。

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