9 (عدد)

This article is about the number. For other uses, see 9 (disambiguation) and Number nine (disambiguation).

← 8 9 10 →
−1 0 1 2 3 4 5 6 7 8 9 → قائمة الأعداد الأعداد الصحيحة ← 0 10 20 30 40 50 60 70 80 90 →
كمي	صفر
ترتيبي	9 (صفر)
نظام العد	nonary
التحليل لعوامل	32
القواسم	1,3,9
العدد اليوناني	Θ´
العدد الروماني	IX, ix
السابقة اليونانية	ennea-
السابقة اللاتينية	nona-
ثنائي	10012
ثلاثي	1003
رباعي	214
خماسي	145
سداسي	136
ثماني	118
اثنا عشري	912
ستة عشري	916
عشريني	920
أساس 36	936
Amharic	፱
Arabic, Kurdish, Persian, Sindhi, Urdu	٩
Armenian numeral	Թ
Bengali	৯
Chinese numeral	九, 玖
Devanāgarī	९
Santali	᱙
Greek numeral	θ´
Hebrew numeral	ט
Tamil numerals	௯
Khmer	៩
Telugu script	౯
Thai numeral	๙
Malayalam	൯
Babylonian numeral	𒐝
Egyptian hieroglyph	𓐂
Morse code	____.
NATO phonetic alphabet	NINER

9 (تسعة) هو عدد صحيح يلي العدد 8 ويسبق العدد 10 وهو عدد طبيعي موجب.

 تطور الرقم الهندو-عربي

انظر أيضاً: Hindu–Arabic numeral system

Circa 300 BC, as part of the Brahmi numerals, various Indians wrote a digit 9 similar in shape to the modern closing question mark without the bottom dot. The Kshatrapa, Andhra and Gupta started curving the bottom vertical line coming up with a 3-look-alike. How the numbers got to their Gupta form is open to considerable debate. The Nagari continued the bottom stroke to make a circle and enclose the 3-look-alike, in much the same way that the sign @ encircles a lowercase a. As time went on, the enclosing circle became bigger and its line continued beyond the circle downwards, as the 3-look-alike became smaller. Soon, all that was left of the 3-look-alike was a squiggle. The Arabs simply connected that squiggle to the downward stroke at the middle and subsequent European change was purely cosmetic.

While the shape of the glyph for the digit 9 has an ascender in most modern typefaces, in typefaces with text figures the character usually has a descender, as, for example, in .

The form of could possibly derive from the Arabic letter waw, which in its isolated form (و) resembles the number 9.

The modern digit resembles an inverted 6. To disambiguate the two on objects and labels that can be inverted, they are often underlined. It is sometimes handwritten with two strokes and a straight stem, resembling a raised lower-case letter q, which distinguishes it from the 6. Similarly, in seven-segment display, the number 9 can be constructed either with a hook at the end of its stem or without one. Most LCD calculators use the former, but some VFD models use the latter.

 الرياضيات

9 is the fourth composite number, and the first odd composite number. 9 is also a refactorable number.

Casting out nines is a quick way of testing the calculations of sums, differences, products, and quotients of integers in decimal, a method known as long ago as the 12th century.

9 is the only square number that is the sum of two consecutive, positive cubes: $3^{2}=9=1^{3}+2^{3}$

If an odd perfect number exists, it will have at least nine distinct prime factors.

Non-intersecting chords between four points on a circle

9 is the sum of the cubes of the first two non-zero positive integers $1^{3}+2^{3}$ which makes it the first cube-sum number greater than one. A number that is 4 or 5 modulo 9 cannot be represented as the sum of three cubes.

Four concentric magic circles with 9 in the center (by Yang Hui), where numbers on each circle and diameter around the center generate a magic sum of 138.

There are nine Heegner numbers, or square-free positive integers $n$ that yield an imaginary quadratic field $\mathbb {Q} \left[{\sqrt {-n}}\right]$ whose ring of integers has a unique factorization, or class number of 1.

9 is the largest single-digit number in the decimal system.

The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen.

The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen or retracing any lines.

 الهندسة الرياضية

A polygon with nine sides is called a nonagon. A regular nonagon can be constructed with a regular compass, straightedge, and angle trisector.

The lowest number of squares needed for a perfect tiling of a rectangle is 9.

 قائمة الحسابات الأساسية

Multiplication	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	20	25	50	100	1000
9 × x	9	18	27	36	45	54	63	72	81	90	99	108	117	126	135	144	180	225	450	900	9000

Division	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
9 ÷ x	9	4.5	3	2.25	1.8	1.5	1.285714	1.125	1	0.9	0.81	0.75	0.692307	0.6428571	0.6
x ÷ 9	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	1	1.1	1.2	1.3	1.4	1.5	1.6

Exponentiation	1	2	3	4	5	6	7	8	9	10
9x	9	81	729	6561	59049	531441	4782969	43046721	387420489	3486784401
x9	1	512	19683	262144	1953125	10077696	40353607	134217728	387420489	1000000000

 الثقافة والأساطير

 الثقافة الهندية

Nine is a number that appears often in Indian culture and mythology. For example, there are nine influencers attested to in Indian astrology. In the Vaisheshika branch of Hindu philosophy, there are nine universal substances or elements: Earth, Water, Air, Fire, Ether, Time, Space, Soul, and Mind. Navaratri is a nine-day festival dedicated to the nine forms of Durga.

 الثقافة الصينية

• Nine (九; پن‌ين: jiǔ) is considered a good number in Chinese culture because it sounds the same as the word "long-lasting" (久; پن‌ين: jiǔ).
• Nine is strongly associated with the Chinese dragon, a symbol of magic and power. There are nine forms of the dragon, it is described in terms of nine attributes, and it has nine children. It has 117 scales – 81 yang (masculine, heavenly) and 36 yin (feminine, earthly). All three numbers are multiples of 9.

 في مصر القديمة

• الأقواس التسعة is a term used in Ancient Egypt to represent the traditional enemies of Egypt.
• The Ennead is a group of nine Egyptian deities, who, in some versions of the Osiris myth, judged whether Horus or Set should inherit Egypt.

 European culture

• In Norse mythology, the universe is divided into nine worlds which are all connected by the world tree Yggdrasil.
• In Norse mythology as well, the number nine is associated with Odin, as that is how many days he hung from the world tree Yggdrasil before attaining knowledge of the runes.

 Greek mythology

• The nine Muses in Greek mythology are Calliope (epic poetry), Clio (history), Erato (erotic poetry), Euterpe (lyric poetry), Melpomene (tragedy), Polyhymnia (song), Terpsichore (dance), Thalia (comedy), and Urania (astronomy).
• It takes nine days (for an anvil) to fall from heaven to earth, and nine more to fall from earth to Tartarus.
• Leto labored for nine days and nine nights for Apollo, according to the Homeric Hymn to Delian Apollo.

 Mesoamerican mythology

• The Lords of the Night, is a group of nine deities who each ruled over every ninth night forming a calendrical cycle.

 Aztec mythology

• Mictlan the underworld in Aztec mythology, consists of nine levels.

 أساطير المايا

• The Mayan underworld Xibalba consists of nine levels.
• El Castillo, the Mayan step-pyramid in Chichén Itzá, consists of nine steps. It is said that this was done to represent the nine levels of Xibalba.

 الثقافة الأسترالية

The Pintupi Nine, a group of 9 Aboriginal Australian women who remained unaware of European colonisation of Australia and lived a traditional desert-dwelling life in Australia's Gibson Desert until 1984.

 الأنثروپولوجيا

 المصطلحات

• To "go the whole nine yards" is to do something fully, despite any difficulty
• To be "dressed to the nines" is to be as well dressed as possible
• To be "on cloud nine" is to be in a state of complete bliss
• Cats are said to have "nine lives", describing their ability to avoid or survive dangers
• "A stitch in time saves nine", describing the greater ease of preparation and prevention as compared with repair or recovery
• "K-9" is pronounced nearly identically to canine and is used in many US police departments to denote the police dog unit. Despite the terms not being homophonous in other languages, many police and military units around the world borrow the same designation from English.

 التقنيات

International maritime signal flag for 9

Playing cards showing the 9 of all four suits

• Stanines, a method of scaling test scores, range from 1 to 9.
• There are 9 square feet in a square yard.

 الأدب

• There are nine circles of Hell in Dante's Divine Comedy.
• The Nine Bright Shiners, characters in Garth Nix's Old Kingdom trilogy. The Nine Bright Shiners was a 1930s book of poems by Anne Ridler and a 1988 fiction book by Anthea Fraser; the name derives from "a very curious old semi-pagan, semi-Christian" song.
• The Nine Tailors is a 1934 mystery novel by British writer Dorothy L. Sayers, her ninth featuring sleuth Lord Peter Wimsey.
• Nine Unknown Men are, in occult legend, the custodians of the sciences of the world since ancient times.
• In J. R. R. Tolkien's Middle-earth, there are nine rings of power given to men, and consequently, nine ringwraiths. Additionally, The Fellowship of the Ring consists of nine companions.
• In Lorien Legacies there are nine Garde sent to Earth.
• Number Nine is a character in Lorien Legacies.
• In the series A Song of Ice and Fire, there are nine regions of Westeros (the Crownlands, the North, the Riverlands, the Westerlands, the Reach, the Stormlands, the Vale of Arryn, the Iron Islands and Dorne). Additionally, there is a group of nine city-states in western Essos known collectively as the Free Cities (Braavos, Lorath, Lys, Myr, Norvos, Pentos, Qohor, Tyrosh and Volantis).
• In The Wheel of Time series, Daughter of the Nine Moons is the title given to the heir to the throne of Seanchan, and the Court of the Nine Moons serves as the throne room of the Seanchan rulers themselves. Additionally, the nation of Illian is partially governed by a body known as the Council of Nine, and the flag of Illian displays nine golden bees on it. Furthermore, in the Age of Legends, the Nine Rods of Dominion were nine regional governors who administered individual areas of the world under the ruling world government.

 المنظمات

• Divine Nine – The National Pan-Hellenic Council (NPHC) is a collaborative organization of nine historically African American, international Greek-lettered fraternities and sororities.

 في الأدب

 الموسيقى

• "Revolution 9", a sound collage which appears on The Beatles' eponymous 1968 album The Beatles (aka The White Album), prominently features a loop of a man's voice repeating the phrase "Number nine".
• There are 9 semitones in a Major 6th interval in music.
• There was a superstition among some notable classical music composers that they would die after completing their ninth symphony. Some composers who died after composing their ninth symphony include Ludwig van Beethoven, Anton Bruckner, Antonin Dvorak and Gustav Mahler.
• Beethoven's Symphony No. 9 is regarded as a masterpiece, and one of the most frequently performed symphonies in the world.
• A staff of a score contains nine notes who comprise five lines and four spaces.

 الدين والفلسفة

 المسيحية

• In Christianity there are nine Fruit of the Holy Spirit which followers are expected to have: love, joy, peace, patience, kindness, goodness, faithfulness, gentleness, and self-control.
• The Bible recorded that Christ died at the 9th hour of the day (3 pm).

 الإسلام

There are three verses that refer to nine in the Quran.

We surely gave Moses nine clear signs.¹ ˹You, O Prophet, can˺ ask the Children of Israel. When Moses came to them, Pharaoh said to him, “I really think that you, O Moses, are bewitched.”

— Surah Al-Isra (The Night Journey/Banī Isrāʾīl):101

Note 1: The nine signs of Moses are: the staff, the hand (both mentioned in Surah Ta-Ha 20:17-22), famine, shortage of crops, floods, locusts, lice, frogs, and blood (all mentioned in Surah Al-A'raf 7:130-133). These signs came as proofs for Pharaoh and the Egyptians. Otherwise, Moses had some other signs such as water gushing out of the rock after he hit it with his staff, and splitting the sea.

Now put your hand through ˹the opening of˺ your collar, it will come out ˹shining˺ white, unblemished.² ˹These are two˺ of nine signs for Pharaoh and his people. They have truly been a rebellious people.”

— Surah Al-Naml (The Ant):12

Note 2: Moses, who was dark-skinned, was asked to put his hand under his armpit. When he took it out it was shining white, but not out of a skin condition like melanoma.

And there were in the city nine ˹elite˺ men who spread corruption in the land, never doing what is right.

— Surah Al-Naml (The Ant):48

• رمضان, the month of fasting and prayer, is the ninth month of the Islamic calendar.

 غيرهم

• Nine, as the largest single-digit number (in base ten), symbolizes completeness in the Baháʼí Faith. In addition, the word Baháʼ in the Abjad notation has a value of 9, and a 9-pointed star is used to symbolize the religion.
• The number 9 is revered in Hinduism and considered a complete, perfected and divine number because it represents the end of a cycle in the decimal system, which originated from the Indian subcontinent as early as 3000 BC.
• In Norse mythology, the number nine is associated with Odin, as that is how many days he hung from the world tree Yggdrasil before attaining knowledge of the runes.
• Nine is the number associated with Satan in LaVeyan Satanism. Anton LaVey wrote in The Satanic Rituals that this is because nine is the number of the ego since it "always returns to itself" even after being multiplied by any number.

 العلوم

 الفلك

• Before 2006 (when Pluto was officially designated as a non-planet), there were nine planets in the Solar System.
• Messier object M9 is a magnitude 9.0 globular cluster in the constellation Ophiuchus.
• The New General Catalogue object NGC 9, a spiral galaxy in the constellation Pegasus.

 الكيمياء

This gold has four nines, as it is 99.99% pure

Nines are a notation for expressing the purity of a chemical.

In chemical nomenclature, the prefix "non-" stands for the number nine, for example in molecular chains with nine atoms such as "nonane" for an alkane with nine carbon atoms. The prefixes play a role in the naming of molecules, especially in organic chemistry to indicate the number of similar atoms or groups in the molecule (e.g. "nonan" for 9 carbon atoms, "nonavalent" for nine-valent. Nonapeptides are peptides that consist of nine amino acids.

 الفيزيولوجيا

A human pregnancy normally lasts nine months, the basis of Naegele's rule.

 علم النفس

9 is a common terminal digit in psychological pricing.

 في الرياضة

A Nine-ball rack with the 9 ball at the center

 في التكنولوجيا

• ISO 9 is the ISO's standard for the transliteration of Cyrillic characters into Latin characters
• In the Rich Text Format specification, 9 is the language code for the English language. All codes for regional variants of English are congruent to 9 mod 256.
• The9 Limited (owner of the9.com) is a company in the video-game industry, including former ties to the extremely popular MMORPG World of Warcraft.

 انظر أيضاً

• 9 (توضيح)
• 0.999...
• Cloud Nine

 المصادر

• [1]

 قراءات أخرى

• Cecil Balmond, "Number 9, the search for the sigma code" 1998, Prestel 2008, ISBN 3791319337, ISBN 9783791319339