#to advanced trigonometric calculus graphs without the right calculator

[that-satireguy]

Me after I first went from a community where 'trans men are girl brained which is why they are inferior to us real trans people, so be a good crossdresser and do most of the chores. Its not our fault we were never taught how, while you were forced into doing it since you could walk'

To the very progressive:

'Trans men are the meniest most privileged meniest men of all malekind and misogyny is a swear word to them, true men of trans manness don't acknowledge misogyny at all and if you do you're a transtrend- i mean faker- I mean misogynist- I MEAN HEFAB USING HIS ASAB TO GET SYMPATHY. NO THERE IS NO GRACE for not understanding all the correct terminology you tme facist! YOU SHOULD KNOW BETTER. EDUCATE YOURSELF USING THESE ENGLISH BOOKS YOU CAN'T REALLY READ'

[wisdomrays]

TAFAKKUR: Part 242

MUSLIM CONTRIBUTIONS TO MATHEMATICS: Part 2

Abu Kamil (about 850–930), an Egyptian mathematician, wrote the Book on Algebra which consists of three parts:

(1) Solutions of quadratic equations,

(2) Application of algebra to geometry,

(3) Diophantine equations.

He improved the work of Khwarizmi and applied algebraic methods to geometry. His research was on quadratic equations, multiplication and division of algebraic quantities. His work also includes addition and subtraction of radicals. He found the following formulas:

ax.bx=abx2; a(bx)=(ab)x; (10–x)(10–x)=100+x2–20x

Abu Kamil also wrote the Book On Surveying and Geometry, which was intended for government land surveyors. There, he stated the nontrivial rules for calculating areas, volumes, perimeters, and diagonals of different objects in geometry

Ibrahim ibn Sinan (908–946), a grandson of Thabit bin Qurra, was both an astronomer and a mathematician. Fuat Sezgin writes, "He was one of the most important mathematicians in the medieval Islamic world." He studied geometry, and his work on calculation of the area under the graph of a parabola is especially appreciated. Going further than Archimedes, he introduced a more general method of integration.

Abu Bakr ibn Muhammad ibn al-Husayn al-Karaji (953–1029), also known as al-Karkhi, is regarded as the first person to have developed algebraic operations without using geometry. One of his major works was Al-Fakhri fi'l-jabr wa'l-muqabala (Glorious on algebra). Historian Woepcke recognizes Al-Fakhri as the beginning of the theory of algebraic calculus. Here, al-Karkhi introduced the monomials x, x2, x3, ... and 1/x, 1/x2, 1/x3, ... and explained product rules among them. Moreover, he was the first to find the solutions of the equations ax2n+bxn=c. Al-Karkhi proved the sum formula for integral cubes by using the method of proof by induction, and hence became the first to use this method.

Abu'l Hasan ibn Ali al-Qalasadi (1412–1486) was an Andalusian Muslim mathematician. His main contribution was to introduce algebraic symbolism, and he used short Arabic words for his symbols. For example, he used the symbol for the sound "sh" from the Arabic word meaning "thing" to represent what we call x, the unknown.

TRIGONOMETRY

Khwarizmi also contributed to trigonometry. He established accurate trigonometric tables for sine and cosine, and he was the first to introduce tangent tables. [16] In 1126, these works were translated into Latin by Adelard of Bath.

Al-Battani or Albetagnius (about 850–929) was a Muslim astronomer and mathematician. In his research on astronomy he used trigonometric methods which were a lot more advanced than the geometric methods used by Ptolemy. He introduced trigonometric ratios. For example, for a right triangle with adjacent sides a and b, he gives the formula b sin(A) = a sin(900 – A), which is equivalent to tan A = a/b. He was the first to introduce the cotangent function.

Muhammad Abu'l Wafa (940–998), born at Buzjan in Khorasan, introduced the use of secant, cosecant and tangent functions. He gave a new method of constructing sine tables. He calculated sin(30^0) with an accuracy of up to eight decimal digits. He improved spherical trigonometry and proved the law of sines for general spherical triangles. In particular, he developed the half/double angle formulas:

2 sin2 (x/2)=1–cos x; sin 2x=2sin x cos x

He was the first to introduce the notion of secant and cosecant, and hence completed the list of all six trigonometric functions.

Abu Abd Allah Muhammad ibn Muadh Al-Jayyani (989–1079) was an Arab mathematician from Andalus. He was the author of The Book of Unknown Arcs of a Sphere which was "the first treatise on spherical trigonometry." Here he mentioned formulas for right handed triangles and law of sines. He also stated the formula for the solution of a spherical triangle in terms of the polar triangle. He had a strong influence on the West.

Another outstanding mathematician Nasir al-Din al-Tusi (1201–1274) wrote Treatise On The Quadrilateral, considered the best book on trigonometry written in medieval times, later translated into French by Alexandre Carathéodory Pasha in 1891. In his book al-Tusi made enormous advances in plane and spherical trigonometry. The Dictionary of Scientific Biography states, "This work is really the first in history on trigonometry as an independent branch of pure mathematics and the first in which all six cases for a right-angled spherical triangle are set forth." The well-known sine law is also stated in this work: a/sin A = b/sin B = c/sin C.

Ghiyath al-Din al-Kashi (1393–1449) produces sine tables of up to eight decimal places. In 1424, he computed 2π to an accuracy of sixteen decimal digits. He wrote a very impressive book on mathematics: Miftah al-Hussab (Key to Arithmetic). His main purpose in this book is to provide sufficient knowledge of mathematics for those who are working on astronomy,surveying, architecture, accounting and trading. He also describes how to find the fifth root of any number.

Unfortunately, the contributions of Muslims often go unrecognized. Muslim scholars contributed to science in many aspects such as mathematics, astronomy, geography, philosophy, medicine, art, architecture and so on. However, today few realize that in that era Islam played an important role in all aspects of life. Europe faced losing the works of major scholars, but as a result of their translations into Arabic most of this scholarship not only survived, but was further developed. Inspired by the Qur'an and hadiths, Muslims sought knowledge for the benefit of humankind. As the Qur'an says, "Are those who know equal to those who know not?"(Zumar 39:9). We should appreciate the scholars of all eras for their contributions to science.

[starry-tight]

My actual experience making this tumblr, ngl.

Cis people and other trans people of all demographics: ok so you're a man so you need to take care f all this stuff but also! You're the only person living here who will regularly do chores so you get to be the dishes and cooking person. Ngl I fully used weaponized incompetence about the cooking, at least with the cis people. I know how to cook but I cook for ME not 6 other people living in my goddamn apartment.

Do you know how many cis male friends i thought I had? Only for them to turn "hanging out with the homies" into "we're going to fuck". All of them met me as a dumpy guy who dresses like a homeless person. I have had men gang up on me

I have had hangouts turn into horrific experiences because of the fact that I have boobs. I had a cis gay friend that would literally grab me by the tit and make jokes about yanking them off.

It's hard to make friends with cis women as well. My first gf when I was 13 sexuality assaulted me because "you're supposed to be a boy so you're supposed to want to do this more, and i really want to do it".

if I don't correct women on their assumptions that I'm a girl as soon as I met them, and i tell them later, they look at me like I've betrayed them and I get cycled out of the friend group very quickly. If I do tell them immediately, I just never get included.

My last roommate would get pissy when I didn't deep clean fucking everything in the house. Would actively say shit about my transness and constantly talked about her transness was more valid. I have been out and non passing for 11 years. I have been struggling and poor and she got pissy at me for having bigger boobs than her even tho she added a pill and grew more pretty quickly. She witnessed me consistently misgendered in public even while binding because a binder doesn't completely flatten g cups. She got pissy at me any time i had a period.

I have PMDD and she decided that was her fucking problem somehow? And made me feel shittier for having a specifically hormone related disorder that connects to my periods.

She knew i was intersex and knew the reason I HAD to take a break from T (I need closer monitoring, I can't afford the testing rn to find out what specific thing I have, but my t levels got WAY too high WAY too fast at a low dose. 1300 at 3 months on like a .3 dose. and my body was suffering.) Honestly she's not the worst about it, just the most recent. Hurt my feelings specifically. Direct example of me experiencing misogyny despite my gender, from another trans person.

Had a dude come over and when I was talking about my life growing up on a rural farm, he directly said stuff about 4wheelers and dirt bikes, and then said "I guess only guys would know". This man knew, I was out to him, and directly said this in my own house. The reason I know nothing about 4 wheelers n shit is because I grew up on 1000$ a month for 3 people, not because I was born with a vag, thanks tho!

I have recently lost a lot of weight because of medical issues. When I was 240ish, I was treated so much more shitty as a trans man. Especially by other skinnier, richer trans men. Binding worked even less then. I had more obvious hips. Even though I was actively on T, my body never really redistributed fat or grew obvious facial hair. I've got a deep voice and that's about it. I have never actually in my life experienced an ounce of male privilege.

When i went to the gyno for an IUD (btw it fell out after 4 months and lodged in my cervix, if i had left it longer/ignored the pain it would have needed surgery) during that time there was a single nurse who would quietly say my chosen name when then other nurses couldn't hear her. She made my year.

I was forcibly impregnated at 17. And became that man's and all his roommates and friends basic maid for 3 years. Even though he wanted me to dress feminine i would still embarrass him by shouting my maleness. I got passed around. I got physically hurt. But I never got treated like a man. That whole period is the main reason I can't use my relatively unisex deadname/nickname at all. Or the first name i chose after.

Me after I first went from a community where 'trans men are girl brained which is why they are inferior to us real trans people, so be a good crossdresser and do most of the chores. Its not our fault we were never taught how, while you were forced into doing it since you could walk'

To the very progressive:

'Trans men are the meniest most privileged meniest men of all malekind and misogyny is a swear word to them, true men of trans manness don't acknowledge misogyny at all and if you do you're a transtrend- i mean faker- I mean misogynist- I MEAN HEFAB USING HIS ASAB TO GET SYMPATHY. NO THERE IS NO GRACE for not understanding all the correct terminology you tme facist! YOU SHOULD KNOW BETTER. EDUCATE YOURSELF USING THESE ENGLISH BOOKS YOU CAN'T REALLY READ'