Pythagoras was a Greek mathematician who contributed much to the mathematical world, mainly because of Pythagorean Theorem. The following PPT contains all the necessary information about Pythagoras's early and later life, as well as about his works and explanations.(If you find the fonts a little weird, its not my fault as Slideshare doesn't supports many fonts)
Pythagoras was a Greek mathematician who contributed much to the mathematical world, mainly because of Pythagorean Theorem. The following PPT contains all the necessary information about Pythagoras's early and later life, as well as about his works and explanations.(If you find the fonts a little weird, its not my fault as Slideshare doesn't supports many fonts)
this presentation is about famous mathematician and scientist " PYTHAGORAS".
this will helps you in project , assignment , lecture , general knowledge etc .
Presentación del Seminario “El enigma de los diagramas de los manuscritos griegos”. Christián Carlos Carman. Pamplona, 11 de marzo de 2020
Christián Carlos Carman es investigador adjunto del CONICET (Consejo Nacional de Investigaciones Científicas y Técnicas) e investigador-docente adjunto ordinario de la Universidad Nacional de Quilmes. Miembro de la Commission for the History of Ancient and Medieval Astronomy of the International Union of History and Philosophy of Science y de la Philosophy of Science Association y miembro fundador de la Asociación de Filosofía e Historia de la Ciencia del Cono Sur (AFHIC). Dirige un proyecto titulado "Realismo Científico y Astronomía Antigua", radicado en Argentina pero con investigadores de Estados Unidos, Canadá, Brasil e Inglaterra. También ha desarrollado una amplia labor de divulgación de la que es un ejemplo el TED: El iPad de Arquímedes (https://www.youtube.com/watch?v=PxaXEAPn8RU).
Resumen: La primera vez que uno se enfrenta con los manuscritos más antiguos de las obras matemáticas o astronómicas de los griegos, saltan a la vista algunas deficiencias de los diagramas matemáticos: aparecen triángulos iguales cuando deberían ser diferentes, arcos en vez de líneas, líneas rectas donde debería haber parábolas, entre muchas otras extravagancias. Puesto que estas características aparecen muy tempranamente y prácticamente de manera universal en todas las tradiciones de copias y traducciones de obras griegas, hay acuerdo entre los especialistas en que los mismos griegos hacían los diagramas de esa manera tan particular. ¿Por qué los antiguos griegos hacían mal sus diagramas? En este seminario se aporta una hipótesis alternativa.
The Steiner-Lehmus Theorem is famous; it even has its own name and some history. It is described in the book H.S.M. Coxeter, S.L. Greitzer - Geometry Revisited, 1967. Jakob Steiner could be the greatest mathematician in synthetic geometry and was the first person to solve the problem.
Hugh Ching, who has never missed a geometry problem and has never had to take final examinations in three geometry classes of three different teachers, solved the Steiner-Lehmus problem in high school without knowing its popularity. After becoming the founder of Post-Science, he is no longer understandable.
this presentation is about famous mathematician and scientist " PYTHAGORAS".
this will helps you in project , assignment , lecture , general knowledge etc .
Presentación del Seminario “El enigma de los diagramas de los manuscritos griegos”. Christián Carlos Carman. Pamplona, 11 de marzo de 2020
Christián Carlos Carman es investigador adjunto del CONICET (Consejo Nacional de Investigaciones Científicas y Técnicas) e investigador-docente adjunto ordinario de la Universidad Nacional de Quilmes. Miembro de la Commission for the History of Ancient and Medieval Astronomy of the International Union of History and Philosophy of Science y de la Philosophy of Science Association y miembro fundador de la Asociación de Filosofía e Historia de la Ciencia del Cono Sur (AFHIC). Dirige un proyecto titulado "Realismo Científico y Astronomía Antigua", radicado en Argentina pero con investigadores de Estados Unidos, Canadá, Brasil e Inglaterra. También ha desarrollado una amplia labor de divulgación de la que es un ejemplo el TED: El iPad de Arquímedes (https://www.youtube.com/watch?v=PxaXEAPn8RU).
Resumen: La primera vez que uno se enfrenta con los manuscritos más antiguos de las obras matemáticas o astronómicas de los griegos, saltan a la vista algunas deficiencias de los diagramas matemáticos: aparecen triángulos iguales cuando deberían ser diferentes, arcos en vez de líneas, líneas rectas donde debería haber parábolas, entre muchas otras extravagancias. Puesto que estas características aparecen muy tempranamente y prácticamente de manera universal en todas las tradiciones de copias y traducciones de obras griegas, hay acuerdo entre los especialistas en que los mismos griegos hacían los diagramas de esa manera tan particular. ¿Por qué los antiguos griegos hacían mal sus diagramas? En este seminario se aporta una hipótesis alternativa.
The Steiner-Lehmus Theorem is famous; it even has its own name and some history. It is described in the book H.S.M. Coxeter, S.L. Greitzer - Geometry Revisited, 1967. Jakob Steiner could be the greatest mathematician in synthetic geometry and was the first person to solve the problem.
Hugh Ching, who has never missed a geometry problem and has never had to take final examinations in three geometry classes of three different teachers, solved the Steiner-Lehmus problem in high school without knowing its popularity. After becoming the founder of Post-Science, he is no longer understandable.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
1. Pythagorean Theorem
http://en.wikipedia.org/wiki/Pythagorean_Theorem
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in
Euclidean geometry among the three sides of a right triangle. The theorem is named after
the Greek mathematician Pythagoras, who by tradition is credited with its discovery,
although knowledge of the theorem almost certainly predates him. The theorem is known
in China as the "Gougu theorem" for the (3, 4, 5) triangle. Chou Pei Suan Ching 500–
200 BC.
The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and
b) equals the area of the square on the hypotenuse (c).
If we let c be the length of the hypotenuse and a and b be the lengths of the other two
sides, the theorem can be expressed as the equation
or, solved for c:
A Pythagorean triple consists of three positive integers a, b, and c, such that
a2
+ b2
= c2
. Such a triple is commonly written (a, b, c), and a well-known
example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for
any positive integer k. A primitive Pythagorean triple is one in which a, b and c
are coprime.
(3, 4, 5) (20, 21, 29) (11, 60, 61) (13, 84, 85)
(5, 12, 13) (12, 35, 37) (16, 63, 65) (36, 77, 85)
(8, 15, 17) (9, 40, 41) (33, 56, 65) (39, 80, 89)
(7, 24, 25) (28, 45, 53) (48, 55, 73) (65, 72, 97)