Eratosthenes was a Greek mathematician and scholar born in Cyrene, Libya in around 275 BC. Although not considered the best in any field, he made many important contributions across several areas of science and was nicknamed "Beta" as he often came in second to Archimedes. He is best known for accurately calculating the circumference of the Earth by comparing shadows in wells in Syene and Alexandria.
More than 2,000 years ago, Eratosthenes calculated the spherical size of the Earth with reasonable accuracy.
Register to explore the whole course here: https://school.bighistoryproject.com/bhplive?WT.mc_id=Slideshare12202017
More than 2,000 years ago, Eratosthenes calculated the spherical size of the Earth with reasonable accuracy.
Register to explore the whole course here: https://school.bighistoryproject.com/bhplive?WT.mc_id=Slideshare12202017
Astronomy is love! In this presentation, I share three fascinating stories of constellations, explaining how the constellations in the sky got their name, and how each constellation is related to one another.
Astronomy is love! In this presentation, I share three fascinating stories of constellations, explaining how the constellations in the sky got their name, and how each constellation is related to one another.
Egyptian Science
1. Astronomy - Celestial Sphere
2. Medicine
3. Mathematics
4. Numbers
5. Arithmetic
6. Imhotep
7. Lady Peseshet
151
SCIENCE IN REMET
Introduction
One must abandon the preposterous notion that the ancient Egyptian people only knew “empirical
recipes”, instead of “science.” Indeed, the ancient Egyptians possessed a wealth of knowledge, which
encompassed metaphysics, astronomy, medicine, mathematics, and geometry. It is impossible to build
pyramids with “empirical recipes.”
Astronomy
Although Egyptian astronomical contributions to civilization such as calendar making and astrological
prognostication are widely acknowledged, there still exits a prevalent belief that Egyptians had very little
to say regarding the realm of astronomy. However, in order to engage Egyptian knowledge of astronomy,
The Book of the Dead, or more precisely, The Book of Going Forth Toward the Light in the new edition
translated by Raymond Faulkner (1994) is essential reading material. In reading the introductory hymn
to the sun-god Ra in the Papyrus of Ani, it is clear that the question deals with the celestial sphere.
By focusing on the celestial sphere, we are able to introduce critical aspects of Egyptian astronomy as
articulated by Egyptians themselves. And, in doing so we are able to illuminate a small but very
important part of Egyptian astronomy that will ultimately facilitate more descriptive scientific
explorations into Egyptian knowledge. Before presenting the Egyptian text, let us recall the meaning of
the celestial sphere in modem astronomy. Dr. Mario Beatty, a young African American Egyptologist
completed his Ph.D. on this very acute topic.
153
The Celestial Sphere and its Defining Components
The celestial sphere is the imaginary sphere surrounding the Earth on which all heavenly bodies are
projected. It is, so to speak, the vault of the sky as it appears to be spread above us. This celestial sphere
of stars surrounds the Earth on every side. In the daytime we are unable to see the stars because of the
superior light of the sun. As the Earth rotates, the celestial poles seem to remain stationary, while the rest
of the sky moves around. Now, because the celestial sphere is divided into two equal hemispheres by the
celestial equator, one half of the celestial sphere is constantly visible to us, which is dependent upon the
observer’s position on Earth. But, if the observer is north of the equator, the south celestial pole cannot
be seen, as it always stays below the horizon. Similarly, observers south of the equator cannot see the
north celestial pole.
On the surface of the celestial sphere, which is concave, the three primary circles that are imagined are
crucial to an understanding of the more common problems of astronomy. They are the following:
■ Celestial horizon;
■ Celestial equator;
■ And, the ecliptic.
The celestial horizon is a great circle defined by the intersection of a p ...
Eratosthenes Estimation of the Circumference of the Earth This que.pdfartimagein
Eratosthene\'s Estimation of the Circumference of the Earth This question investigates
something that is quite famous and amazing especially for its time. It briefly looks at the work of
Eratosthenes and what he did to estimate the circumference of the Earth. Now perhaps he
idealized the Earth as a perfect sphere to make it easier, but his estimate was pretty close to the
actual, modern value! In your answer, offer commentary and narration regarding what I have
given on the following pages. Please do NOT copy and paste answers and narration from the
Internet! I think YOU (yes YOU there reading this!!) will enjoy this famous mathematical
episode from history. Please make sure that you address and answer ALL questions in this
scenario. Please answer in paragraph form with excellent prose!
Solution
Answer:-
According to the statement
Eratosthenes calculated the circumference of the Earth without leaving Egypt. He knew that at
local noon on the summer solstice in Syene (modern Aswan, Egypt), the Sun was directly
overhead. He knew this because the shadow of someone looking down a deep well at that time in
Syene blocked the reflection of the Sun on the water. He measured the Sun\'s angle of elevation
at noon on the same day in Alexandria. The method of measurement was to make a scale
drawing of that triangle which included a right angle between a vertical rod and its shadow. This
turned out to be 1/50th of a circle. Taking the Earth as spherical, and knowing both the distance
and direction of Syene, he concluded that the Earth\'s circumference was fifty times that
distance.
His knowledge of the size of Egypt was founded on the work of many generations of surveying
trips. Pharaonic bookkeepers gave a distance between Syene and Alexandria of 5,000 stadia (a
figure that was checked yearly)Some say that the distance was corroborated by inquiring about
the time that it took to travel from Syene to Alexandria by camel. Carl Sagan says that
Eratosthenes paid a man to walk and measure the distance. Some claim Eratosthenes used the
Olympic stade of 176.4 m, which would imply a circumference of 44,100 km, an error of
10%,but the 184.8 m Italian stade became (300 years later) the most commonly accepted value
for the length of the stade,which implies a circumference of 46,100 km, an error of 15%. .It was
unlikely, even accounting for his extremely primitive measuring tools, that Eratosthenes could
have calculated an accurate measurement for the circumference of the Earth for three important
assumptions he made (none of which are perfectly accurate):
Eratosthenes later rounded the result to a final value of 700 stadia per degree, which implies a
circumference of 252,000 stadia, likely for reasons of calculation simplicity as the larger number
is evenly divisible by 60.Repeating Eratosthenes\' calculation with more accurate data, the result
is 40,074 km, which is 66 km different (0.16 %) from the currently accepted polar circumference
of the Earth.
Seventeen hun.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Normal Labour/ Stages of Labour/ Mechanism of LabourWasim Ak
Normal labor is also termed spontaneous labor, defined as the natural physiological process through which the fetus, placenta, and membranes are expelled from the uterus through the birth canal at term (37 to 42 weeks
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
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
Safalta Digital marketing institute in Noida, provide complete applications that encompass a huge range of virtual advertising and marketing additives, which includes search engine optimization, virtual communication advertising, pay-per-click on marketing, content material advertising, internet analytics, and greater. These university courses are designed for students who possess a comprehensive understanding of virtual marketing strategies and attributes.Safalta Digital Marketing Institute in Noida is a first choice for young individuals or students who are looking to start their careers in the field of digital advertising. The institute gives specialized courses designed and certification.
for beginners, providing thorough training in areas such as SEO, digital communication marketing, and PPC training in Noida. After finishing the program, students receive the certifications recognised by top different universitie, setting a strong foundation for a successful career in digital marketing.
1. ERATOSTHENES’ BIOGRAPHY
Eratosthenes of Cyrene lived approximately in 275-195 BC. He
was born in Cyrene which is now in Libya in North Africa. He
studied philosophy in Cyrene with some philosophers, scholars
and poets. He then spent some years studying in Athens.
Although a brilliant scholar in so many fields, he was never
considered to be the best in any subject. He was also called
Mr. Beta since he always came second as far as his
contributions to science were concerned, since he was a
contemporary and friend of the great Archimedes. This is why
people called him by the nickname of “Beta,” for the second
letter in the Greek alphabet.
Primarily a mathematician, a very important work of Eratosthenes was
Platonicus which, among other topics, discussed the mathematics which are
the basis of Plato's philosophy. Although this work is now lost, Platonicus
studied the basic definitions of geometry and arithmetic, as well as
covering such topics as music.
Despite being lost to history, we know something of Eratosthenes’ work by
the writings of others. Eutocius and other authors described the way
Eratosthenes solved the problem of duplicating the cube. Eratosthenes
later erected a column at Alexandria with an epigram inscribed on it
relating to his own mechanical solution to the cube problem.
Another area in which Eratosthenes is remembered is his work with prime
numbers. Although his original writings are lost, he is remembered for his
'Sieve of Eratosthenes' which, in modified form, is still an important tool in
number theory research
Eratosthenes is probably best known for the surprisingly accurate
measurement of the circumference of the Earth he made. Once again his
treatise, On the measurement of the Earth, is now lost, however, some
information about these calculations appear in works by other authors. He
made a surprisingly accurate estimate of the earth's circumference. In the
great library in Alexandria he read that a deep vertical well near Syene, in
southern Egypt, was entirely lit up by the sun at noon once a year.
Eratosthenes reasoned that at this time the sun must be directly overhead,
2. with its rays shining directly into the well. In Alexandria, almost north of
Syene, he knew that the sun was not directly overhead at noon on the same
day because a vertical object doesn’t cast a shadow when the light is
directly overhead. quot;Well!quot; he thought to himself, quot;everyone knows the
earth is flat! How then, could there be no shadow in Syene when there is a
definite shadow in Alexandria?quot;
Eratosthenes could now measure the circumference of the earth (sorry
Columbus) by making two assumptions - that the earth is round and that the
sun's rays are essentially parallel.
Eratosthenes hired a friend of his
to walk from Alexandria to Syene
to mark the distance.
His friend found the distance between the two
places to be about 500 miles. With this information
and his knowledge of geometry, Erastothenes
determined the circumference of the earth to be
approximately 25,000 miles. And we all know what
has a circumference? Yes!! He proved that the
earth was round. Erastosthenes had changed the
world forever with his discovery, for this led many
seafaring explorers to set sail in search of new and
exciting trade routes. And we all know what
happened after that.
Eratosthenes’ other contributions to astronomy include measurements of
the distances from the Earth to the moon and Earth to the sun and created
a star map containing 675 stars. He also wrote a poem called “Hermes”
which described the fundamentals of astronomy.
3. Eratosthenes also made major contributions to the science of Geography
and, in about 240 BC, became the third librarian at Alexandria, in the
library in a temple of the Muses called the Mouseion. The library is said to
have contained hundreds of thousands of papyrus and vellum scrolls.
Late in his life, he lost his sight. Filled with despair, that his vitality was
gone, he starved himself to death at the age of 80.
GLOSSARY:
Despite: A pesar de deep: profundo
Sieve of Eratosthenes: Criba de … well: pozo
Accurate: exacto treatise. Tratado
To cast: proyectar to hire: alquilar, contratar
Lead, led, led: guiar, dirigir vellum scrolls. pergaminos
Seafaring: navegante to starve: morir de hambre
COMPREHENSION QUESTIONS ABOUT ERATHOSTENES’
BIOGRAPHY
1. Where was he born?
2. Why was he called BETA?
3. What type of contribution did he do to Mathematics?
4. What did people believe about the Earth?
5. Why exactly did he discover that the solar rays were parallel in
Syene and Alexandria?
6. What did he prove?
7. What contributions did he make to astronomy?
8. You know that in Eratosthenes’ times, education was very different
to what we have today. What areas of knowledge did he study and
research on? Compare it with current university degrees.