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mathematics

South

South is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand South rather than just read about it. In short: South is one of the cardinal directions or compass points. The direction is the opposite of north and is perpendicular to both west and east.

South — main illustration
South — illustration

Key takeaways

  • South belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect South to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of South from memory before moving on to harder problems.

Reference excerpt

South is one of the cardinal directions or compass points. The direction is the opposite of north and is perpendicular to both west and east.

Etymology The word south comes from Old English sūþ, from earlier Proto-Germanic *sunþaz ("south"), possibly related to the same Proto-Indo-European root that the word sun derived from. Some languages describe south in the same way, from the fact that it is the direction of the sun at noon (in the Northern Hemisphere), like Latin meridies 'noon, south' (from medius 'middle' + dies 'day', English: cf. meridional), while others describe south as the right-hand side of the rising sun, like Biblical Hebrew תֵּימָן teiman 'south' from יָמִין yamin 'right', Aramaic תַּימנַא taymna from יָמִין yamin 'right' and Syriac ܬܰܝܡܢܳܐ taymna from ܝܰܡܝܺܢܳܐ yamina (hence the name of Yemen, the land to the south/right of the Levant). South is sometimes abbreviated as S.

Navigation

By convention, the bottom or down-facing side of a map is south, although reversed maps exist that defy this convention. To go south using a compass for navigation, set a bearing or azimuth of 180°. Alternatively, in the Northern Hemisphere outside the tropics, the Sun will be roughly in the south at midday.

South Pole True south is one end of the axis about which the Earth rotates, called the South Pole. The South Pole is located in Antarctica. Magnetic south is the direction towards the south magnetic pole, some distance away from the south geographic pole. Roald Amundsen, from Norway, was the first person to reach the South Pole, on 14 December 1911, after Ernest Shackleton from the UK was forced to turn back some distance short.

Geography The Global South refers to the socially and economically less-developed southern half of the globe. 95% of the Global North has enough food and shelter, and a functioning education system. In the South, on the other hand, only 5% of the population has enough food and shelter. It "lacks appropriate technology, it has no political stability, the economies are disarticulated, and their foreign exchange earnings depend on primary product exports". Use of the term "South" may also be country-relative, particularly in cases of noticeable economic or cultural divide. For example, the Southern United States, separated from the Northeastern United States by the Mason–Dixon line, or the South of England, which is politically and economically unmatched with all of the North of England. Southern Cone is the name that is often referred to as the southernmost area of South America that, in the form of an inverted "cone", almost like a large peninsula, encompasses Argentina, Chile, Paraguay, Uruguay and the entire South of Brazil (Brazilian states of Rio Grande do Sul, Santa Catarina, Paraná and São Paulo). Rarely does the meaning broaden to Bolivia, and in the most restricted sense it only covers Chile, Argentina and Uruguay. The country of South Africa is so named because of its location at the southern tip of Africa. Upon formation the country was named the Union of South Africa in English, reflecting its origin from the unification of four formerly separate British colonies. Australia derives its name from the Latin Terra Australis ("Southern Land"), a name used for a hypothetical continent in the Southern Hemisphere since ancient times.

Other uses In the card game bridge, one of the players is known for scoring purposes as South. South partners with North and plays against East and West. In Greek religion, Notos, was the south wind and bringer of the storms of late summer and autumn.

References

External links The dictionary definition of south at Wiktionary

Illustrations

South: A 16-point compass rose with south highlighted at the bottom
A 16-point compass rose with south highlighted at the bottom
South: América Invertida, drawn in 1943, by Joaquín Torres García
América Invertida, drawn in 1943, by Joaquín Torres García

Worked examples

Example 1 — a first encounter with South

Start with the simplest possible case. Write down what South claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to South before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about South ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of South

In research
South appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses South in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
South is common in secondary-school and first-year university syllabi. It links to neighbouring topics Orientation (geometry), so understanding it makes those chapters shorter.
In everyday life
Look for South outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study South in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what South means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain South out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is South in simple terms?

South is one of the cardinal directions or compass points. The direction is the opposite of north and is perpendicular to both west and east.

Why does South matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study South?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on South.

Tags

  • Orientation (geometry)

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