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1 Primary & Middle School Mathematics1–9 年级在线 2 High School Mathematics10–12 年级在线 3 University Mathematics — Year 1本科一年级在线 4 University Mathematics — Year 2本科二年级在线 5 University Mathematics — Year 3本科三年级在线

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1 Markets I: The Ecosystem and Exchange-Traded Markets市场在线 2 Markets II: Rates, FX and Credit市场在线 3 Markets III: Commodities, Energy and Crypto市场在线 4 Quantitative Methods方法在线 5 Derivatives and Volatility衍生品在线 6 Rates, Credit, XVA and Risk利率、信用与风险在线 7 Research Craft: Predictors, Backtests, Measurement, Portfolios研究在线 8 Strategies I: Equities and Futures策略在线 9 Strategies II: Volatility, Relative Value, Macro and the Bank Desks策略在线 10 Microstructure and Execution交易执行在线 11 Market Making and High-Frequency Trading做市在线 12 Machine Learning for Markets机器学习在线 13 Low-Latency Software技术在线 14 Networks, Hardware and Trading Infrastructure技术在线 15 Research, Data and Risk Platforms技术在线 16 The Desk and the Firm公司运营在线 17 The Industry: Firms, Roles and Careers职业发展在线 18 Interviews I: Maths, Probability and Speed职业发展在线 19 Interviews II: Markets, Trading Games and the Final Round职业发展在线 20 Interviews III: Code职业发展在线

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Earth and Space Sciences · 术语表

什么是 Great circle, spherical triangle？

又称： great circle · small circle · spherical triangle

Definition 1.1 University Earth and Space Sciences — Year 1 · 第 1 章 — 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 $A$ , $B$ , $C$ , joined by arcs of great circles of less than $180{}^{\circ}$ . Its sides $a$ , $b$ , $c$ (opposite $A$ , $B$ , $C$ ) are measured by the angles they subtend at the centre; its angles $A$ , $B$ , $C$ 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 $ABC$ 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 $a = 78.6{}^{\circ}$ , $b = 62.6{}^{\circ}$ , $c = 64.8{}^{\circ}$ and angles of $89.9{}^{\circ}$ , $64.9{}^{\circ}$ and $67.4{}^{\circ}$ , which add up to more than $180{}^{\circ}$ .

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