![IslamicSH_'s tweet photo. ✨You’ve seen this in every math class:
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?
Meet Abū al-Wafā al-Būzjānī, the genius who shaped Trigonometry. 📐
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.
📐 His Contributions to Mathematics:
He established several trigonometric 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 lines. 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.
🌌 His Work in Astronomy:
Abū al-Wafā designed and built a wall quadrant, a large, fixed instrument used to measure celestial altitudes with remarkable accuracy.
This invention influenced later observatories across the Islamic world.
His masterpiece, Kitāb al-Majisṭī (“The Almagest”), improved upon Ptolemy’s astronomy, described planetary motion, and developed mathematical methods for finding the Qibla direction, the direction of prayer. 🕌
In 997, he participated in an experiment to determine the difference in local time between his location, Baghdad, and that of al-Biruni (who was living in Kath, Uzbekistan).
Their result was astonishingly accurate, within about 1 hour of modern calculations. ⏱️](https://pbs.twimg.com/media/HHf61X_aIAAM_05.png)
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In his book on Dars Nizami, Maulana Rashid Ahmad Swati (may God preserve him) makes many interesting points and also has some scathing critiques…
Regarding Ibn Taymiyyah’s book Ar-Radd 'ala al-Mantiqiyyin (A Refutation of the Logicians), Maulana Swati quotes Maulana Nafi Gul saying that no scholar bothered to write a refutation of it because Ibn Taymiyyah (may God forgive him) had no clue about the science of Logic in the first place. Thus the book wasn’t worthy of a refutation.
He’s correct and (with due respect to Dr Taha Abderrahmane whose defense of IT’s philosophical legacy is weak) , the influx of Taymiyyan dawah bros shows it. Recently so many of them have been copy pasting IT’s poor reasoning/arguments and getting embarrassed in debates.
Canadian politician Chrystia Freeland, Canada's former deputy prime minister and finance minister, was confronted during an event in Toronto
"Thousands murdered because of you. How many children have you orphaned? You monster. You Zionist Nazi dog"
"What do you have to say for yourself, you animal? Get out. You disgusting animal. Get out. You're a fucking Nazi, You're the butcher of Gaza"
"You animal. And you go around with a book deal? You're making money off of genocide?"
Al-Tabari died besieged, Al-Bukhari died exiled, Al-Nasa'i died murdered, Ibn Hazm died pursued, Abu Hanifa died imprisoned, and Ibn Taymiyyah died jailed..
This is the state of the scholars who spend their lives to convey the word of truth and the messages of God.
The Difference Between the Chains of Transmission of the Books of Ahl al-Sunnah and the Chains of Books Falsely Attributed to the Salaf
🧵
Dives straight into the issue and explains comprehensively and rationally without appealing to authorities in Islamic tradition.
For Urdu listeners, this is probably the only series out there that covers the subject of 'ilm-ul-kalam, the science of theology and everything related to theology i.e., metaphysics, logic, philosophy of science, etc.
https://t.co/eE2tk24kFO
In general, I haven't come across any series that is as comprehensive as this series initiated by Dr. Zahid Mughal. Simplified, non-polemical (though of course, there are responses to objections against this discipline). Avoids 'so and so said this, and that is why it is true.'
🇵🇰🇸🇦 The pact Khan refused is the one that explains everything.
In 2021, while the CIA was pushing Khan for drone bases and Washington was getting increasingly fed up with Islamabad, Saudi Arabia was also knocking on Pakistan's door for a mutual defence pact. Khan said no to both. He saw them as red lines, commitments that would drag Pakistan into other people's wars and hand away whatever foreign policy independence the country still had.
The military watched him do this and decided he was a problem.
That's what fed into everything that followed. The lobbyist quietly hired behind Khan's back. The generals cutting their own deals. And eventually the cypher, Lu sitting across from Pakistan's ambassador in Washington and saying all will be forgiven if Khan goes. Thirty three days later, Khan was gone.
The first thing Munir did was start saying yes to everything Khan had said no to. The Saudi pact was signed in September 2025, the same pact Khan had been refusing for years. Confidential terms, both sides commit to defend each other if attacked. When asked whether it included nuclear weapons, one official said it was "a comprehensive defensive agreement that encompasses all military means." Make of that what you will.
By the time the Iran war started Pakistan had already moved 8,000 troops, 16 JF-17 jets, 2 drone squadrons and a Chinese HQ-9 air defence system into Saudi Arabia under that pact. Saudis foot the bill, Pakistanis run the gear. The pact allows for up to 80,000 troops if things escalate. All of this happening while Islamabad was busy telling the world it was a neutral peacemaker.
The cypher was never just about Ukraine or Putin. It was about getting rid of a prime minister who kept saying no and replacing him with one who would say yes to everything. The Saudi pact is what that looks like three years later.
Khan is still in a cell. Munir is Trump's favorite Field Marshal. And Saudi Arabia has a nuclear armed ally it could never get while Khan was in charge.
The cable did exactly what it was sent to do.
Source: Drop Site News
The ambassador's tone seems be very appeasing. Absolutely no dignity, trying to convince a US pedo that a decision taken was a collective decision. Even if it wasn't, and whatever motivation behind the decision to visit Moscow was, what's that gotta do with these pedos?
🚨BREAKING: For the first time, the original Pakistani cypher — cable I-0678, the document that triggered the removal of former Pakistani Prime Minister Imran Khan — is being released in full by Drop Site.
The myth that early Islam was “purely oral” is long outdated. According to Gregor Schoeler, one of the leading scholars of early Islamic transmission, oral and written transmission in early Islam “supplemented each other.”
Students wrote during lectures, copied notebooks, used dictation, and transmitted from written materials alongside memorisation. The early Islamic tradition was far more literate and structured than critics often assume.
✨You’ve seen this in every math class:
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?
Meet Abū al-Wafā al-Būzjānī, the genius who shaped Trigonometry. 📐
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.
📐 His Contributions to Mathematics:
He established several trigonometric 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 lines. 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.
🌌 His Work in Astronomy:
Abū al-Wafā designed and built a wall quadrant, a large, fixed instrument used to measure celestial altitudes with remarkable accuracy.
This invention influenced later observatories across the Islamic world.
His masterpiece, Kitāb al-Majisṭī (“The Almagest”), improved upon Ptolemy’s astronomy, described planetary motion, and developed mathematical methods for finding the Qibla direction, the direction of prayer. 🕌
In 997, he participated in an experiment to determine the difference in local time between his location, Baghdad, and that of al-Biruni (who was living in Kath, Uzbekistan).
Their result was astonishingly accurate, within about 1 hour of modern calculations. ⏱️
![IslamicSH_'s tweet photo. ✨You’ve seen this in every math class:
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?
Meet Abū al-Wafā al-Būzjānī, the genius who shaped Trigonometry. 📐
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.
📐 His Contributions to Mathematics:
He established several trigonometric 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 lines. 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.
🌌 His Work in Astronomy:
Abū al-Wafā designed and built a wall quadrant, a large, fixed instrument used to measure celestial altitudes with remarkable accuracy.
This invention influenced later observatories across the Islamic world.
His masterpiece, Kitāb al-Majisṭī (“The Almagest”), improved upon Ptolemy’s astronomy, described planetary motion, and developed mathematical methods for finding the Qibla direction, the direction of prayer. 🕌
In 997, he participated in an experiment to determine the difference in local time between his location, Baghdad, and that of al-Biruni (who was living in Kath, Uzbekistan).
Their result was astonishingly accurate, within about 1 hour of modern calculations. ⏱️](https://pbs.twimg.com/media/HHf669za0AErbcc.jpg)
Pro-regime ppl in Pakistan have rewritten the May 2023 Lahore protests as "a huge conspiracy against us". To clarify: a protest movement w a history of 0 violence was blamed for ppl attacking the home of a general, who was then sacked and scapegoated for not shooting them.
🚨HORRIFIC: Footage documents a Palestinian child killed by Israeli forces. When his father rushed to retrieve his son’s body, he was shot and killed by direct sniper fire as well.
“Talking about your problems all the time makes them grow bigger.”
Joe Rogan had a genuine lightbulb moment when Abigail Shrier explained this on his podcast.
Constant rumination — obsessively thinking and talking about your pain — is the #1 symptom of depression. Science backs this up: longitudinal studies show ruminators are up to 4 times more likely to develop major depression, and it actively prolongs depressive episodes by strengthening negative neural pathways.
The best therapists (especially CBT and DBT) focus on breaking that cycle immediately, while many others just let you stay stuck rehearsing your suffering.
Sometimes the most radical (and effective) thing you can do for your mental health is to stop feeding the loop and take action instead — even if it’s just going for a walk or running an errand.
Israel admitió que metió a un niño en una celda de aislamiento durante 4 años.
4 años en una celda, solo.
Admitieron que era inocente.
Admitieron que le provocaron depresión y esquizofrenia.
Debemos detener al Estado terrorista de Israel.
It’s clear why they fear Imran Khan. He didn’t just join the political system, he set out to dismantle the corruption within it.
The mission he started then is the reason he stands firm today.
OMG!! This journalist is reporting that Israel has slit the throats of ten children and placed them on the side of the road , all of whom were less than 5 years old.
“I saw all of this with my own eyes; I am a witness to this thing.”
One of the most brutal scenes in human history has been exposed.
Israeli soldiers opened fire on thousands of starving Gazans as they ran in desperation for a piece of food during the war on Gaza.
A moment the world must never forget.
Allah created a living being just 9 millimeters in size with such perfection… Just imagine how breathtaking Jannah must be.
I provided this U.S. based Pakistani 'journalist' and 'lawyer' with the facts on Imran Khan and she could only hurl insults back. 😂
I showed her that *all the major human rights groups and independent legal authorities* agree Imran Khan is being 'arbitrarily detained' to keep him from elections ... crushing Pakistan's Democracy -- as he's the preferred PM.
She ignores the facts and only hurls insults because she can't win a debate on merit.
People like her bother me more than tyrants. She abuses her great privileges and 'credentials' to support a tyrannical Military Regime and help crush Democracy in Pakistan .. she should just say that.
'inferiority complex' is giving *accusation in the mirror*.
@ayeshaijazkhan
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