mindmachine

🇲🇾🇵🇸

[Islamic Scientific Heritage @IslamicSH_]

✨You’ve probably seen these trigonometric identities before:

sin(a ± b) = sin a cos b ± cos a sin b
sin(2a) = 2 sin a cos a
cos(2a) = 1 − 2 sin²(a)

But did you know these formulae came from a Muslim scholar 1000 years ago?

Abū al-Wafā Būzhjānī (d. 998) was a Persian Muslim mathematician and astronomer from Khorasan. Born in Būzjān (near Nishapur, Iran), Būzhjānī showed early brilliance in mathematics and geometry.

He later moved to Baghdad, then the heart of the Islamic Golden Age, a city of scholars, libraries, and observatories.

In Baghdad, he became one of the leading scientists of the House of Wisdom (Bayt al-Ḥikmah). Here, he studied Greek works like Euclid and Ptolemy, and expanded them far beyond their original limits.

He established several Trigo. identities such as [𝒔𝒊𝒏(𝒂±𝒃)] in their modern form:

{𝙨𝙞𝙣(α ± β)= 𝙎𝙞𝙣α 𝘾𝙤𝙨β ± 𝘾𝙤𝙨α 𝙎𝙞𝙣β}
{𝙨𝙞𝙣(𝙖 + 𝙗) = 𝙎𝙞𝙣(𝙖)𝘾𝙤𝙨(𝙗) + 𝘾𝙤𝙨(𝙖)𝙎𝙞𝙣(𝙗)}
{𝘾𝙤𝙨(2𝙖) = 1-2𝙨𝙞𝙣²(𝙖)}
{𝙎𝙞𝙣(2𝙖) = 2𝙎𝙞𝙣(𝙖) 𝘾𝙤𝙨(𝙖)}

He compiled tables of sines and tangents at 15° intervals, introduced secant and cosecant, and explored the relationships between all six trigonometric functions.

His work made both mathematics and astronomy quantitatively precise. He also studied geometry, arithmetic, and number theory, writing detailed commentaries on al-Khwārizmī and Diophantus.

Some sources suggest that he introduced the tangent function, although other sources give the credit for this innovation to al-Marwazi.

🧵[THREAD]

[Islamic Scientific Heritage @IslamicSH_]

On this day (20 September 1187), Sultan Salahuddin al-Ayyubi begins the Siege of Jerusalem.

[Mel Gibson @MelGibsonstory]

September 11th….

Never forget what firemen said on that day, and what the Govt and Media have tried to erase…. 9/11

[mindmachine @Aeandromeda786]

@syahir Dan bil elektrik naik 2x ganda utk tampung smua tu

[Basharat Ali @basharaatali]

@freemonotheist Muslim, Jew, Christian prosperity in Jerusalem under

Khilafah Ar Rashidah
Ummayad Khilafah
Abbasid Khilafah
Ayubids
Mamluks
Ottomans

[Paul Williams @freemonotheist]

Ottoman soldiers stationed at Al Aqsa. The Ottoman Caliphate leaves a legacy of 402 years of peaceful rule in Palestine

[Clash Report @clashreport]

WATCH: Türkiye, Saudi Arabia, and Pakistan sign Mecca trilateral Defense Agreement.

[Irfan_newboys🇲🇾🇵🇸🏳️🏴 @Marchfoward]

TERKINI

Menteri Pertahanan Pakistan, Khawaja Asif menyeru Dunia Islam agar bersatu hati menentang ancaman Israel

Dan menyeru semua Negara Islam mempunyai satu tindakan ketenteraan yang teratur ke atas Israel

[Dr. Omar Suleiman @omarsuleiman]

One of the dangers of witnessing so much cruelty is that nothing shocks you anymore.

Guard your heart against numbness by helping others in whatever way you can.

The suffering of another human being should never become background noise simply because there is too much of it.

[Fatima @hikmaquine]

Ibn Kathīr (رحمه الله) said:

“This dunyā flees from the one who chases it, and chases the one who flees from it.”

📚: Tafsīr Ibn Kathīr, 3/197

[Naoki Yamamoto @NaokiQYamamoto]

My new book is now available:
Naoki Yamamoto. The Harmonious Unity: Liu Zhi’s Sino-Islamic Interpretation of the Five-Fold Path (Fons Vitae, 2026).

https://t.co/KjH0s731Xa

[Naoki Yamamoto @NaokiQYamamoto]

Naoki Yamamoto. Islamicate Reading of Japanese Swordsmanship-1.
https://t.co/AG9BK7wW13

[𝓣𝓱𝓮 𝓠𝓾𝓲𝓮𝓽 𝓟𝓮𝓷 – 𝓝𝓸𝓫𝓵𝓮 𝓤𝓼𝓽𝓪𝔃 @Nazeephie]

HOW TO RECOGNIZE MERCY & MISERY.

Ibn Qayyim (rahimahullah d. 751AH)

If Allah places a person under certain tests and trials and the person recognizes that he or she must resort to Allah alone, seeking His help. Then this is a good sign for the person,

[vii @vxnxd]

Now it's very clear how the Malays were labelled as lazy, like Stamford Raffles the 'so called' founder of Singapura.

Malays were painted as 'lazy' bcs they didn't obey & bow down to colonial masters terms.

[The Ghazalian @TheGhazalian]

Imam Al Ghazali on the causes of backbiting.

The prophet ﷺ said: “O you who say you are believers with your tongues but do not believe with your hearts, do not backbite Muslims; nor probe their faults, for verily, whoever probes the faults of his brother,

1/19

[Islamic Quotes @IslamDeenQuote]

Anas ibn Malik reported: The Messenger of Allah, peace and blessings be upon him, said,

“Blessed are those who had faith in me and saw me, and blessed seven times are those who had faith in me and never saw me.”

Source: Musnad Aḥmad 12578

[Idris @7signxx]

"This level of taqwa is probably why Khalid Al-Walid RA never lost a battle..."

[𝔸𝕝-ℍ𝕒𝕗𝕚𝕫 ℕ𝕒𝕗𝕚𝕦 𝕌𝕤𝕞𝕒𝕟 𝕀𝕓𝕣𝕒𝕙𝕚𝕞 @AlhafizNafiu]

Sheikh Sakimoto J. Kiyomasa known as Omar Sakimoto, the first Muslim who translated the Holy Qur’an into Japanese..

[JM News Network @JMNewsNetwork_]

🇬🇧 The British singer who converted to Islam, Yusuf Islam, was quite a media sensation when he came to Turkey. A reporter asked him a question about marriage. Yusuf Islam's response left the reporter dumbfounded.

A reporter asked the British singer: "What do you say about the fact that in the Islamic faith you entered, a man can marry four women? I mean, how do you accept the logic of that? As a Western, enlightened singer, how did you accept this?"

Yusuf Islam says:

"You're saying you knew me in my former state. I can't even know how many women I was with before I became Muslim. I can't know if I even had children from them. You admired me while I was living such a low, sordid life. Now I've become Muslim. I'm married to one wife. I have no intention of a second marriage either. If the Islamic faith allows up to four, it also places the responsibility for them and their children on him. In the West that you admired, there's no such responsibility. Many children don't even know their fathers. And the father leaves this world without ever seeing his child."