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Pythagoras (crater)

Pythagoras (crater) is a science 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 Pythagoras (crater) rather than just read about it. In short: Pythagoras is a prominent impact crater located near the northwestern limb of the Moon. T.

Pythagoras (crater) — main illustration
Pythagoras (crater) — illustration

Key takeaways

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

Reference excerpt

Pythagoras is a prominent impact crater located near the northwestern limb of the Moon. T. W. Webb described it as "the deepest walled plain" in this quadrant of the visible Moon. It lies just to the northwest of the somewhat larger Babbage. The crater has an oval appearance due to the oblique viewing angle. Only the western face of the interior can be viewed from the Earth, the other side being permanently out of sight. On the lunar geologic timescale, Pythagoras is a crater of Eratosthenian age. The well-preserved rim of Pythagoras has a wide terrace system, and a slight rampart around the exterior. Although generally circular, the crater outline has a hexagonal form. The floor is flattened, but with an irregular, hilly surface. There is evidence of landslips around the periphery. In the center is a sharp, mountainous rise with a double peak that ascends 1.5 kilometers above the crater floor. Anorthosite with a very low mafic abundance and the infrared spectrum of pure crystalline plagioclase has been identified in the central peaks. This crater is named after Greek mathematician and philosopher Pythagoras of Samos (c. 570 – c. 495 BC). Its designation was formally adopted by the International Astronomical Union in 1935. The name was incorporated into lunar nomenclature by Italian astronomer Giovanni Riccioli in 1651.

Satellite craters By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Pythagoras.

References

Sources

Illustrations

Pythagoras (crater) illustration
Pythagoras (crater): Lunar Orbiter 4 image(four light spots are blemishes on original)
Lunar Orbiter 4 image(four light spots are blemishes on original)

Worked examples

Example 1 — a first encounter with Pythagoras (crater)

Start with the simplest possible case. Write down what Pythagoras (crater) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, 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 Pythagoras (crater) 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 Pythagoras (crater) 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 Pythagoras (crater)

In research
Pythagoras (crater) appears in science 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 Pythagoras (crater) 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
Pythagoras (crater) is common in secondary-school and first-year university syllabi. It links to neighbouring topics Impact craters on the Moon, LQ03 quadrangle, so understanding it makes those chapters shorter.
In everyday life
Look for Pythagoras (crater) 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 Pythagoras (crater) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Pythagoras (crater) 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 Pythagoras (crater) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Pythagoras (crater) in simple terms?

Pythagoras is a prominent impact crater located near the northwestern limb of the Moon. T.

Why does Pythagoras (crater) matter?

Because it connects several science 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 Pythagoras (crater)?

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 Pythagoras (crater).

Tags

  • Impact craters on the Moon
  • LQ03 quadrangle

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