- 1、本文档共11页,可阅读全部内容。
- 2、有哪些信誉好的足球投注网站(book118)网站文档一经付费(服务费),不意味着购买了该文档的版权,仅供个人/单位学习、研究之用,不得用于商业用途,未经授权,严禁复制、发行、汇编、翻译或者网络传播等,侵权必究。
- 3、本站所有内容均由合作方或网友上传,本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺!文档内容仅供研究参考,付费前请自行鉴别。如您付费,意味着您自己接受本站规则且自行承担风险,本站不退款、不进行额外附加服务;查看《如何避免下载的几个坑》。如果您已付费下载过本站文档,您可以点击 这里二次下载。
- 4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等,请点击“版权申诉”(推荐),也可以打举报电话:400-050-0827(电话支持时间:9:00-18:30)。
查看更多
The mathematics of sundials US Department of (日晷的数学我们部门)
The mathematics of sundials
Jill Vincent
University of Melbourne
jlvinc@.au
As early as 3500 years ago, shadows of sticks were used as a primitive
instrument for indicating the passage of time through the day. The stick
came to be called a “gnomon” or “one who knows.” Early Babylonian obelisks
were designed to determine noon. The development of trigonometry by
Greek mathematicians meant that hour lines could be determined
arithmetically rather than by geometry, leading to more sophisticated
sundials. In the first century CE, the Roman architect and engineer Vitruvius
described several types of sundials in his De Architectura (Lennox-Boyd, 2006,
p. 32), including hemispherical, conical and planar dials. Sundials are often
constructed to commemorate special events, for example, the Bicentennial
Park sundial in Sydney. The many common designs of sundials, such as
vertical, horizontal and analemmatic dials, can all be derived by projections
of the basic equatorial dial (Lennox-Boyd, 2006). In this article I show how
trigonometry can be used to calculate the positions of the hour lines for
vertical and horizontal sundials, with a particular focus on the mathematics
underlying a recently-constructed unique horizontal sundial at Piazza Italia in
Melbourne. The words “vertical” and “horizontal” are used in their normal
sense, that is, in the direction of gravity and at right angles to this.
A
u
您可能关注的文档
- The influence of small voids on the fatigue (小空洞疲劳的影响).pdf
- The Influence of Personality Dimensions on (人格维度的影响).pdf
- THE INFLUENCE OF THE CHEMICAL (化学的影响).pdf
- THE INFLUENCE OF THE MULTIPASS DRAWING (多通道的影响图).pdf
- THE INFRARED SPECTRUM OF WATER (水的红外光谱).pdf
- THE INHIBITIVE EFFECT OF ETHANOLAMINE ON (乙醇胺的抑制的效果).pdf
- The Innovation Trend Chart a policy learning tool(创新趋势图表策略学习工具).pdf
- The Insect Circulatory System University of San (圣大学昆虫循环系统).pdf
- The InsTITuTe for sysTems research DRUM(系统研究所鼓).pdf
- The Interaction of Human Plasma Retinol (人血浆视黄醇的交互).pdf
- 民生证券-中信金属-601061-2024年三季报点评:投资收益大幅增加,Q3业绩同比增长.pdf
- 中信建投-计算机行业-计算机板块单三季度业绩增速环比改善.pdf
- 中信建投-全球大类资产周观点-34-预期落定之后.pdf
- 国信证券-金属行业11月投资策略:宏观政策刺激下看好金属价格走强.pdf
- 东北证券-龙佰集团-002601-深度报告(三)-钛产业的巨擘,真金不怕火炼,挑战与机遇并存.pdf
- 东方证券-大选交易备赛指南.pdf
- 海通证券-事件驱动策略之指数成分股调整表现回顾.pdf
- 国信证券-美股科技互联网24Q3财报总结:云持续供不应求AI促进数字广告行业增长.pdf
- 光大证券-计算机行业2025年度投资策略:AI发展星辰大海信创自主可控高确定性.pdf
- 中信建投-农林牧渔行业动态-消费旺季将至关注猪价边际波动.pdf
文档评论(0)