数学家传记
安特米乌斯是拜占庭建筑师,他重建了君士坦丁堡的旧圣索菲亚大教堂。他描述了用固定在两个焦点上的绳子构造椭圆的方法,并描述了抛物线的焦点性质。
特拉勒斯的安提莫斯的父亲是一位名叫Stephanus的医生。特拉勒斯的安提莫斯来自一个受过良好教育的家庭,有两个兄弟是医生,一个兄弟是律师,还有一个被描述为学者。
特拉勒斯的安提莫斯既以数学家闻名,也以建筑师闻名。作为建筑师,他最著名的事迹是在532年替换了君士坦丁堡的旧圣索菲亚大教堂。他的技能似乎还延伸到了工程领域,因为据说他曾受雇修复达拉斯的防洪设施。
你可以在THIS LINK看到一篇关于圣索菲亚大教堂的文章。
他描述了用一根固定在两个焦点上的绳子构造椭圆的方法。他的著名著作On Burning Mirrors也描述了抛物线的焦点性质。托马斯·利特尔·希思 [2]给出了他的一个问题,该问题引出了椭圆的构造:-
设计使一束太阳光线(通过小孔或窗户射入)落在给定的点上,而在任何时刻和季节都不移动。
托马斯·利特尔·希思 [2]给出了特拉勒斯的安提莫斯的解决方案:-
这是通过构造一个椭圆镜来实现的,其一个focus位于太阳光线射入的点,而另一个位于光线需要在所有时刻反射到的点。
特拉勒斯的安提莫斯研究了抛物线的焦点性质,并证明了[2]:-
平行光线可以从抛物面镜反射到一个单点,该点即焦点。准线用于接下来的作图,这一作图与上述椭圆情形中的作图除细节外完全相同。
他在著作On remarkable mechanical devices中汇编了一份关于非凡镜面配置的综述,该著作曾为某些阿拉伯数学家如海什木所知。
关于特拉勒斯的安提莫斯流传着许多故事,这些故事可能纯属虚构,但正如这类故事常见的那样,它们或许能表明他的性格。Huxley写道[1](另见[3]):-
特拉勒斯的安提莫斯通过将阳光反射进邻居兼对手Zenon的家中来迫害他。他还利用通过连接到锅炉的管道在压力下导入的蒸汽,在Zenon的家中制造出地震的假象。
Anthemius of Tralles's father was a doctor by the name of Stephanus. Anthemius came from a well educated family with two brothers who were doctors, one brother who was a lawyer and another who was described as a man of learning.
Anthemius is known both as a mathematician and an architect. As an architect he is best known for replacing the old church of Hagia Sophia at Constantinople in 532. His skills seem also to have extended to engineering for he is said to have been employed to repair flood defences at Daras.
You can see an article about Hagia Sophia at THIS LINK.
He described the construction of an ellipse with a string fixed at the two foci. His famous book On Burning Mirrors also describes the focal properties of a parabola. Heath [2] gives one of his problems which leads to the ellipse construction:-
To contrive that a ray of the sun (admitted through a small hole or window) shall fall in a given spot, without moving away at any hour and season.
Heath [2] gives Anthemius's solution:-
This is contrived by constructing an elliptical mirror one focus of which is at the point where the ray of the sun is admitted while the other is at the point to which the ray is required to be reflected at all times.
Anthemius studied the focal properties of the parabola and proves that [2]:-
... parallel rays can be reflected to one single point from a parabolic mirror of which the point is the focus. The directrix is used in the construction, which follows, mutatis mutandis, the same course as the above construction in the case of the ellipse.
He compiled a survey of remarkable mirror configurations in his work On remarkable mechanical devices which was known to certain of the Arab mathematicians such as al-Haytham.
There are a number of stories told of Anthemius which may be totally fictitious but, as is often the case with such stories, they may give an indication of his character. Huxley writes [1] (see also [3]):-
Anthemius persecuted a neighbour and rival Zenon by reflecting sunlight into his house. He also produced the impression of an earthquake in Zenon's house by the use of steam led under pressure through pipes connected to a boiler.
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