File:Posidonius earth circumference.svg
Summary
Following works by <a href="https://en.wikipedia.org/wiki/Eratosthenes" class="extiw" title="en:Eratosthenes">en:Eratosthenes</a>, <a href="https://en.wikipedia.org/wiki/Posidonius" class="extiw" title="en:Posidonius">en:Posidonius</a> measured the Earth's circumference by reference to the position of the star <a href="https://en.wikipedia.org/wiki/Canopus" class="extiw" title="en:Canopus">en:Canopus</a> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4fc55753007cd3c18576f7933f6f089196732029" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.338ex; width:1.777ex; height:2.176ex;" alt="{\displaystyle C}">, which touches horizon at Rhodes <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.338ex; width:1.774ex; height:2.176ex;" alt="{\displaystyle R}">, but at Alexandria <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.338ex; width:1.754ex; height:2.343ex;" alt="A"> ascends as far as <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b0b46108e4b4ab230e41ab8e50c71fe0ccbb132e" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -1.171ex; width:8.54ex; height:3.676ex;" alt="{\displaystyle \varphi =7{\tfrac {1}{2}}^{\circ }}"> above the horizon. Using his assessment of lateral arc length <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7872ba27a3e7e43a42581674c8b06b80998154f3" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.338ex; width:3.528ex; height:2.343ex;" alt="{\displaystyle AR}"> he could calculate the Earth's circumference.
Licensing
Lua error in package.lua at line 80: module 'strict' not found.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:29, 8 January 2017 | | 316 × 342 (129 KB) | 127.0.0.1 (talk) | Following works by <a href="https://en.wikipedia.org/wiki/Eratosthenes" class="extiw" title="en:Eratosthenes">en:Eratosthenes</a>, <a href="https://en.wikipedia.org/wiki/Posidonius" class="extiw" title="en:Posidonius">en:Posidonius</a> measured the Earth's circumference by reference to the position of the star <a href="https://en.wikipedia.org/wiki/Canopus" class="extiw" title="en:Canopus">en:Canopus</a> <b><span><span class="mwe-math-mathml-inline mwe-math-mathml-a11y mw-math-element" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle C}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4fc55753007cd3c18576f7933f6f089196732029" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.338ex; width:1.777ex; height:2.176ex;" alt="{\displaystyle C}"></span></b>, which touches horizon at Rhodes <b><span><span class="mwe-math-mathml-inline mwe-math-mathml-a11y mw-math-element" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle R}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.338ex; width:1.774ex; height:2.176ex;" alt="{\displaystyle R}"></span></b>, but at Alexandria <b><span><span class="mwe-math-mathml-inline mwe-math-mathml-a11y mw-math-element" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle A}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.338ex; width:1.754ex; height:2.343ex;" alt="A"></span></b> ascends as far as <span><span class="mwe-math-mathml-inline mwe-math-mathml-a11y mw-math-element" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>φ<!-- φ --></mi><mo>=</mo><mn>7</mn><msup><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="false" scriptlevel="0"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle></mrow><mrow class="MJX-TeXAtom-ORD"><mo>∘<!-- ∘ --></mo></mrow></msup></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \varphi =7{\tfrac {1}{2}}^{\circ }}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b0b46108e4b4ab230e41ab8e50c71fe0ccbb132e" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -1.171ex; width:8.54ex; height:3.676ex;" alt="{\displaystyle \varphi =7{\tfrac {1}{2}}^{\circ }}"></span> above the horizon. Using his assessment of lateral arc length <b><span><span class="mwe-math-mathml-inline mwe-math-mathml-a11y mw-math-element" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mi>R</mi></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle AR}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7872ba27a3e7e43a42581674c8b06b80998154f3" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.338ex; width:3.528ex; height:2.343ex;" alt="{\displaystyle AR}"></span></b> he could calculate the Earth's circumference. |
- You cannot overwrite this file.
File usage
The following page links to this file:
