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1 Markets I: The Ecosystem and Exchange-Traded Marketsবাজার অনলাইন 2 Markets II: Rates, FX and Creditবাজার অনলাইন 3 Markets III: Commodities, Energy and Cryptoবাজার অনলাইন 4 Quantitative Methodsপদ্ধতি অনলাইন 5 Derivatives and Volatilityডেরিভেটিভস অনলাইন 6 Rates, Credit, XVA and Riskসুদহার, ঋণ ও ঝুঁকি অনলাইন 7 Research Craft: Predictors, Backtests, Measurement, Portfoliosগবেষণা অনলাইন 8 Strategies I: Equities and Futuresকৌশল অনলাইন 9 Strategies II: Volatility, Relative Value, Macro and the Bank Desksকৌশল অনলাইন 10 Microstructure and Executionএক্সিকিউশন অনলাইন 11 Market Making and High-Frequency Tradingমার্কেট মেকিং অনলাইন 12 Machine Learning for Marketsমেশিন লার্নিং অনলাইন 13 Low-Latency Softwareপ্রযুক্তি অনলাইন 14 Networks, Hardware and Trading Infrastructureপ্রযুক্তি অনলাইন 15 Research, Data and Risk Platformsপ্রযুক্তি অনলাইন 16 The Desk and the Firmপ্রতিষ্ঠান অনলাইন 17 The Industry: Firms, Roles and Careersক্যারিয়ার অনলাইন 18 Interviews I: Maths, Probability and Speedক্যারিয়ার অনলাইন 19 Interviews II: Markets, Trading Games and the Final Roundক্যারিয়ার অনলাইন 20 Interviews III: Codeক্যারিয়ার অনলাইন
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Earth and Space Sciences · পরিভাষা

Great circle, spherical triangle কী?

অন্য নাম: great circle · small circle · spherical triangle

Definition 1.1 University Earth and Space Sciences — Year 1 · অধ্যায় 1 — Spherical Astronomy

A great circle of a sphere is its intersection with a plane through its centre; any other plane section is a small circle. Through two points that are not diametrically opposite passes exactly one great circle, and the shorter of its two arcs is the shortest path on the sphere between the points. A spherical triangle is the figure formed by three points of the sphere, its vertices AA, BB, CC, joined by arcs of great circles of less than 180∘180{}^{\circ}. Its sides aa, bb, cc (opposite AA, BB, CC) are measured by the angles they subtend at the centre; its angles AA, BB, CC are the angles between the planes of the sides that meet at each vertex.

A spherical triangle ABC on a sphere of centre O. The sides a, b, c are arcs of great circles, measured by the angles BOC, COA, AOB; the angle A (red) is the angle between the two sides that meet at A. The triangle drawn has a = 78.6, b = 62.6, c = 64.8 and angles of 89.9, 64.9 and 67.4, which add up to more than 180.
A spherical triangle ABCABC on a sphere of centre OO. The sides aa, bb, cc are arcs of great circles, measured by the angles BOCBOC, COACOA, AOBAOB; the angle AA (red) is the angle between the two sides that meet at AA. The triangle drawn has a=78.6∘a = 78.6{}^{\circ}, b=62.6∘b = 62.6{}^{\circ}, c=64.8∘c = 64.8{}^{\circ} and angles of 89.9∘89.9{}^{\circ}, 64.9∘64.9{}^{\circ} and 67.4∘67.4{}^{\circ}, which add up to more than 180∘180{}^{\circ}.
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