Recently, I was reading Dr. Wu Jun's Lecture Notes on General Mathematics. I think this book is especially suitable for parents and friends.
In the first section of the first chapter of the book, Dr. Wu Jun talked about the "Pythagorean theorem: Why it is called the Pythagorean theorem in the West."
Please compare the information on Wikipedia:
What parents and friends need to know in particular is that if you want your child to be able to read the original English textbook, you need to know a little about how to express the "theorem" in English.
In English, the "Pythagorean theorem" is often referred to as Pythonagorean theorem or Pythagoras' theorem.
In China, there is a very bad habit, that is, there are many people who disassemble foreign words into their own independent letters to "memorize".
If we break down Python into P, y, t, h, a, g, o, r, e, a, n, I believe that no child will enjoy learning English.
Pythagorean[paiˌθæɡəˈriːən]n., adj. Pythagorean philosophy(s); Pythagorean believers
Pythagorean proposition [theorem] [number] Pythagorean theorem, Pythagorean theorem
Pythagorean table (multiplication) table ninety-nine
It is clear that Pythagorean is an adjective form of Pythonagoras.
Pythagoras [paiˈθæɡərəs]n. Pythagoras (BC-497 BC), ancient Greek philosopher, mathematician)
Disassembly: pyth+agor+as.
Derived from the ancient Greek Πῡθαγόρᾱς (Pūthagórās), according to Aristippus, he said (-agor-) the truth was no less than that of the Pyth-", so his name refers to Πυθία (Puthía, "The Oracle of Delphi's Apollo") and ἀγορεύω (agoreúō, "speaking publicly at the bazaar").
Children can roughly understand: pyth- derived from the ancient Greek Πυθία (International Phonetic Alphabet /pyː.thí.aː (ancient)/ → /pyˈθi.a (Middle Ages)/→ /piˈθi.a (modern)/), is a Latin rephrase of πυθ-.
We have repeatedly recommended in previous articles that parents and friends work with their children to recognize the Greek alphabet using a dozen words of Greek origin in English.
If you know the Greek alphabet, you will find it very interesting to learn math, physics, and chemistry in English.
Parents and friends should keep in mind that the Greek letters φ, θ, χ are pronounced in ancient Greek as [ph], [th], [kh], corresponding to the p, t, k of Hanyu Pinyin, and the classical Latin language is rewritten with ph, th, and ch.
That is to say, the pronunciation of ph, th, and ch in classical Latin also corresponds to the p, t, and k of Hanyu Pinyin.
With the exception of a very few phonemes, it is very simple for Chinese children to learn ancient Greek and classical Latin pronunciation.
In previous articles, we have also introduced many times: the English words act( behavior), active (active, active), actor (actor), actree (actress), activity (activity) in ac- is the Latin root ag - in the clear consonant t changes.
I believe that under the premise of knowing ag-, it should not be difficult to remember agor- again.
However, parents and friends need to know about it: agor - ἀγορᾱ́ (agorā́, "assembly assembly") derived from ancient Greek.
That is, agor- is a Latin rephrase of the Greek αγορ-.
In fact, people's names, place names, as long as you have a general understanding.
Below, we focus on theorem.
【English】theorem[ˈθiərəm]n.1. Propositions, axioms, laws, laws 2. Number: Theorem
Disassembly: theor+em.
It is strongly recommended that children first familiarize themselves with the English words the (definite article) and or (table "or"). Adds up to the theor-. This is the focus of memory.
Ask parents and friends to know about its etymology:
Derived from the Middle French théorème, from the late Latin theōrēma, from the Ancient Greek θεώρημα (theṓrēma, "speculation, proposition to be proved") (Euclid), derived from θεωρέω (theōréō, "I look at, view, consider, examine"), derived from θεωρός (theōrós, "Spectator"), consisting of θέα (théa, "a view") + ὁράω (horáō, "I see, look").
Please understand that the Ancient Greek θέα (théa) corresponds to the English "a view". The Ancient Greek ὁράω (horáō) corresponds to the English "I see" (I see, I understand).
Literally means "an insight I understand".
I believe that on the basis of knowing theor-, you can definitely master the English word theory without any effort.
Theory[ˈθɪərɪ]n. –ries 1. Theory; Doctrine 2. Principles; Theory 3. Views; "Number" axiom
It is recommended to be able to read the example sentences well:
One theory about the moon is that it is a piece broken off the earth.
There is a theory about the Moon that it is part of a separation from Earth.
One theory about the moon has a theory about the moon
it is a piece broken off the earth It is part of the earth separated from the earth
Be sure to familiarize yourself with the English word theater by the way.
Theater[ˈθɪətə(r)]n.1. Theater, Theater 2. Drama; dramatic literature 3. Operating Theatre (= operating theater)
Disassembly: thea+ter.
Derived from the Middle English theater, theatre, derived from the Old French theatre, derived from the Latin theatrum, derived from the Ancient Greek θέατρον (théatron, "a place for viewing"), derived from θεάομαι (theáomai, "to see", "to watch", "to observe").
The -ter here is actually derived from the Latin -trum, derived from the ancient Greek -τρον.
English has at least 203 words to use -tron. You should at least memorize neutron, electron.
If you can get to know Pythonagorean theorem or Pythagoras' theorem, it will be easy to understand the relevant content by reading and understanding the original math textbook.
Let's probably look at:
In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
To the effect that, in mathematics, Pythagorean theorem, or Pythagoras' theorem is the basic relationship between the three sides of a right triangle in Euclidean geometry. It states that the area of a square with a beveled edge (the opposite of the right angle) is equal to the sum of the areas of the other two sides of the square.
Break it down:
In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
In mathematics , Pythagorean theorem , or Pythagoras' theorem is the fundamental relationship between the three sides of a right triangle in Euclidean geometry.
Euclidean geometry Euclidean geometry Euclidean geometry
Right triangle
It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
It states that the area of a square with a beveled edge (the opposite of the right angle) is equal to the sum of the areas of the other two sides of the square.
In previous articles, we have introduced many times the Greek-derived hypo - corresponding to the Latin-derived sub-, table "in ... Down".
On this basis, it is much easier to memorize the English word hypotenuse.
Hypotenuse[haɪ'pɑtənuːz /-'pɒtənjuːz]n. hypotenuse.n. Hypotenuse
Disassembly: hypo+ten+use (derived from Latin -usa).
Derived from Latin hypotenusa, derived from Ancient Greek ὑποτείνουσα πλευρά (hupoteínousa pleurá, "side subtending [the right angle]"), originating from ὑποείνουσα (hupoteínousa, "stretching, extending, subtending"), isὑποτείνω ( The active participle of hupoteínō, "subtend, stretch under") consists of ῠ̔πο- (hupo-, "below") + τείνω (teínō, "I stretch, spread").
I believe you can see that the Ten- in Latin corresponds to the Ancient Greek τείν-.
【Assignment】Please translate the following English content into Chinese.
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.