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试论archimedes的数学思想

西北农林科技大学学报（自然科学版） 2003年第2期31卷 181-184页

作者：王乃信吴养会西北农林科技大学生命科学学院陕西杨陵712100

依据 archimedes的数学贡献 ,尤其是 archimedes在求抛物线弓形面积时所创立的方法 ,分析了Archim edes的数学思想 ,认为 archimedes既善于进行巧妙的物理论证 ,又善于进行严格的数学论证。由Archim edes的数学思想得到的启示是 :巧妙... 详细信息

依据 archimedes的数学贡献 ,尤其是 archimedes在求抛物线弓形面积时所创立的方法 ,分析了Archim edes的数学思想 ,认为 archimedes既善于进行巧妙的物理论证 ,又善于进行严格的数学论证。由Archim edes的数学思想得到的启示是 :巧妙的物理论证是科学发现的重要方法 ;严格的数学论证是确立结论的必需步骤 ;要精选若干基本原理 ,作为论证的基础 ;要献身科学真理 ,不为俗世需求所动摇。

关键词： archimedes 数学思想物理论证数学论证抛物线弓形面积古希腊

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Gauss半群张量积archimedes半格的结构

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山东师范大学学报(自然科学版) 1984年第1期 17-24页

作者：李师正

本文是[1][2][3][8]的继续,讨论Gauss半群在交换半群范畴中张量积的archimedes半格的结构,主要结果是证明两个Gauss半群的张量积的archimedes半格是若干L1,L2,Ls型半格的上积。

关键词：半格 archimedes Gauss 张量积双同态可逆元上积全序集同余交换图

A Procedure for the Squaring of a Circle (of Any Radius)

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Advances in Pure Mathematics 2023年第2期13卷 96-102页

作者： Lyndon O. Barton Delaware State University Dover USA

This paper presents a graphical procedure for the squaring of a circle of any radius. This procedure, which is based on a novel application of the involute profile, when applied to a circle of arbitrary radius (using only an unmarked ruler and a compass), produced a square equal in area to the given circle, which is 50 cm2. This result was a clear demonstration that not only is the construction valid for the squaring of a circle of any radius, but it is also capable of achieving absolute results (independent of the number pi (π), in a finite number of steps), when carried out with precision.

关键词： Famous Problems in Mathematics archimedes College Mathematics Involute Mean Proportional Principle Squaring the Circle Quadrature Geometer’s Sketch Pad College Geometry

New Dynamic Equations of Aerosol in Air of Certain Type

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Atmospheric and Climate Sciences 2017年第4期7卷 511-524页

作者： Tian-Quan Yun School of Civil Engineering and Transportation South China University of Technology Guangzhou China

A new dynamic equation of aerosol in air is derived, using a model-in-model, by equilibrium of buoyancy, gravity and pressure, together with conservation laws of mass, momentum and energy via Reynolds transport theorem and supplemented by corresponding scientific laws for related properties of air and aerosols. This new dynamic equation of aerosol in air is a set of non-linear partial differential equations involved six unknown functions of mass densities, pressure, air and aerosol speeds and temperature. It has features: 1, it belongs to certain type;2, it emphases the effect of buoyancy in equilibrium and potential energy, and the archimedes principle of buoyancy is firstly extended to lateral directions based on logical deduction, the phenomenon of stirring a glass of oil-water mixture and the recorded of Hurricane Isabel (2003) from space station. The later shows the evidence of existence of lateral buoyancy;3, the mass densities of air and aerosol of a point in our model are varied in different directions due to traction and are treated as vectors, and they have been used in the calculation of lateral buoyancy.

关键词： Aerosol Vapor Condensation Coagulation Diffusion Boyle’s Law Charles’ Law Newton’s Law archimedes Principle of Buoyancy Reynolds Transport Theorem Wind Speed Equation

A Method for the Squaring of a Circle

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Advances in Pure Mathematics 2022年第9期12卷 535-540页

作者： Lyndon O. Barton Delaware State University Dover USA

This paper presents a Method for the squaring of a circle (i.e., constructing a square having an area equal to that of a given circle). The construction, when applied to a given circle having an area of 12.7 cm2, it produced a square having an area of 12.7 cm2, using only an unmarked ruler and a compass. This result was a clear demonstration that not only is the construction valid for the squaring of a circle but also for achieving absolute results (independent of the number pi (π) and in a finite number of steps) when carried out with precision.

关键词： Famous Problems in Mathematics archimedes College Mathematics Cycloidal Construction Mean Proportional Principle Squaring the Circle Quadrature Geometer’s Sketch Pad College Geometry

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群闭完全拟正则半群的半格分解

西安冶金建筑学院学报 1990年第4期22卷 383-386页

作者：任学明刘林西安冶金建筑学院基础课部

本文定义了群闭完全拟正则半群,得到了它分解为Archimcdes半群的半格的充要条件。

关键词：半群半格分解 archimedes

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阿基米德

集邮博览 2005年第5期 68-68页

作者：王渭

阿基米德(archimedes,公元前287- 前212年)是古希腊最伟大的物理学家和数学家(图1.阿基米德像)。现在中学里还在学习的"阿基米德原理"和"杠杆原理" 就是他最早发现和总结成科学定律的。相传他的家乡-叙拉古的国王西罗二世称王后,为了... 详细信息

阿基米德(archimedes,公元前287- 前212年)是古希腊最伟大的物理学家和数学家(图1.阿基米德像)。现在中学里还在学习的"阿基米德原理"和"杠杆原理" 就是他最早发现和总结成科学定律的。相传他的家乡-叙拉古的国王西罗二世称王后,为了炫耀自己,决定为当地圣庙献上一顶金冠。金匠到期送来了制作精美分量相符金光灿灿的皇冠,正要顶礼膜拜时,

关键词：阿基米德原理 archimedes 科学定律杠杆原理炫耀自己物理学家数学家公元前早发现金匠