Ancient Greece's Genius of Physics and Engineering
Archimedes of Syracuse
Born: c. 287 BCE, Syracuse, Sicily (a Greek city-state) | Died: c. 212 BCE (Killed during Roman conquest despite orders to keep him alive)
The Timeless Genius of Ancient Greece
Location: Syracuse, Sicily (now part of Italy)
Father: Phidias – an astronomer
Mother: Name unknown (but belonged to a noble family)
Field: Physics, Mathematics, Engineering, Astronomy
Known For: Archimedes’ Principle, Inventions, and War Machines
- Early Life and Education
Location: Syracuse, Sicily (now part of Italy)
Father: Phidias – an astronomer
Mother: Name unknown (but belonged to a noble family)
Field: Physics, Mathematics, Engineering, Astronomy
Known For: Archimedes’ Principle, Inventions, and War Machines
- Early Life and Education
Archimedes was born in Syracuse, a thriving port city in ancient Greece (now Sicily). His father, Phidias, was an astronomer, which exposed him to science early in life. He is believed to have studied in Alexandria, Egypt, one of the greatest knowledge hubs of the time. There he met other great minds like Euclid’s followers.
Family Life and Background
Archimedes was born around 287 BCE in the ancient city-state of Syracuse, located on the island of Sicily, which is now part of modern-day Italy 🇮🇹.
At the time, Syracuse was a Greek colony and an important cultural and commercial center.
His father was Phidias, an astronomer, who likely introduced him to the sciences early on.
This scientific environment and a city rich in trade and learning helped nurture Archimedes’ curiosity from a young age.
There are no historical records of his mother’s name, marriage, or children — leading historians to believe that Archimedes remained unmarried and celibate, dedicating his life completely to knowledge, invention, and teaching.
Some legends suggest he may have had royal connections or even served the ruler of Syracuse, King Hiero II, as a court scientist and engineer — especially during wartime.
Personality and Interests
Though no personal diary or biography by Archimedes himself exists, historical accounts from Plutarch, Livy, and others paint the picture of a deeply passionate, eccentric, and single-minded genius.
Here are key personality traits and interests based on historical accounts:
Syracuse – The City of Archimedes
• Syracuse was an independent Greek city-state at the time (now located on the island of Sicily, Italy).
• It was a major center for trade, science, and culture.
• King Hiero II of Syracuse often consulted Archimedes for his knowledge and advice.
One of the king’s famous challenges — to determine whether a crown was made of pure gold — led to the discovery of Archimedes’ Principle.
Education
- He received his early education in Syracuse.
- Later, he went to Alexandria, Egypt — which was then the global center of knowledge and science — to pursue advanced studies.
- There, he studied the works of renowned mathematicians like Euclid and his disciples.
- He taught his students through verses, so they could remember the principles easily...
- He emphasized learning by examples, not by definitions...
- Today, he is known as “The First Practical Science Teacher.”
Major Scientific Contributions
1. Archimedes’ Principle (Buoyancy Law):
Perhaps his most famous discovery, it explains why objects float or sink in water. Legend says he discovered this while bathing and shouted “Eureka!” (I have found it).
Formula:
Buoyant Force = Weight of displaced fluid
2. Mathematics:
· Calculated Pi (π) to remarkable accuracy.
· Invented integral calculus-like concepts centuries before Newton.
· Worked on parabolas, spheres, and volume calculations.
· Introduced exponential notation.
3. Engineering Inventions:
· Archimedean Screw: A device to lift water, still used in modern irrigation.
· Pulleys and levers: He explained mechanical advantage, famously stating:
"Give me a place to stand and I will move the Earth."
4. War Machines:
To defend Syracuse against the Romans, Archimedes invented weapons like:
· Giant catapults
· Claw cranes that lifted enemy ships
Burning mirrors (controversial) to set ships on fire
Archimedes' Mathematical Approach
1. Method of Exhaustion
- It was an ancient glimpse of modern calculus.
- He began estimating area and volume with great accuracy using fractions.
- Example: He proximates the formula πr²
2. Estimation of the Value of π (Pi):
- He used polygons to estimate the value of π (pi) and calculated that it lies between 3.1408 and 3.1429 — an exceptionally precise approximation for his era.
- This was an incredibly accurate calculation for his time — achieved without any modern instruments.
Philosophical and Scientific Mind
Archimedes combined practical engineering with deep theoretical understanding. He was a pure scientist and a great applied physicist — rare even today.
Archimedes Palimpsest – A Priceless Discovery
- This is an 11th-century manuscript that contains rare writings of Archimedes.
- It was originally written in Greek and rediscovered in the 20th century.
- Modern scientists used X-ray fluorescence imaging to uncover the original texts hidden beneath later writings.
Is it possible to count grains of sand?
In his treatise "The Sand Reckoner", Archimedes made the first known attempt to calculate:
10^63 (1 followed by 63 zeros)
This was the largest number ever calculated at that time — when even the concepts of zero, decimals, or million-billion were not yet clearly defined!
This work broke the limits of ancient mathematics.
It planted the first seeds of modern astronomy and cosmology.
- Archimedes would break down a problem into smaller parts before solving it.
- Then he would identify the underlying principle behind it.
- This approach is now widely known as “Reverse Engineering” in modern science and engineering.
- He never worked for money or fame.
- All his inventions were driven by a pure quest for knowledge and the habit of constantly asking “Why?”
“I want only truth, nothing else,” he said.
Influence of Archimedes' Thinking – Even in India?
- Few people know that ancient Indian mathematicians like Bhaskara and Aryabhata used methods similar to those of Archimedes.
- There are notable similarities between Indian and Greek approaches in topics like ratios and volumes of solids.
Major Works and Writings
| Work Title | Subject Area |
| On Floating Bodies | Fluids and Buoyancy |
| On the Sphere and Cylinder | Geometry and Solid Shapes |
| The Sand Reckoner | Astronomy and Numerical Calculations |
| Measurement of a Circle | Value of π (Pi) |
| The Method | Techniques of Calculation and Proofs |
Modern Relevance of Archimedes
- Bridges, cranes, and heavy machinery still rely on the principles of levers and torque—ideas pioneered by Archimedes.
- His concept of the lever forms the foundation of modern mechanical advantage.
- The Archimedes' Principle is still used in ship design and submarine buoyancy control.
- It is a fundamental part of Naval Architecture education worldwide.
- In many rural areas of Africa and Asia, the Archimedean Screw is still used for irrigation and drainage.
- It remains a cost-effective and efficient method for water management.
Machines of Archimedes – A Blend of Science and War
1. Heat Ray (Attack with Solar Energy)
He used polished metal mirrors to focus sunlight and set enemy ships on fire.
Some modern experiments have shown this might have been possible.
2. Claw of Archimedes (Naval Grappling Device)
A giant crane-like mechanism that could lift and topple enemy ships out of the sea.
This device was connected to the city walls and operated from within Syracuse.
Scientists Inspired by Archimedes
| Scientist | Contribution | How They Were Inspired |
| Galileo | Gravity and motion | Inspired by Archimedes' mechanics |
| Newton | Laws of motion, calculus | Linked the roots of calculus to Archimedes |
| Carl Friedrich Gauss | Mathematical precision | Considered Archimedes’ geometry as an ideal |
| Leonardo da Vinci | Machinery and design | Influenced by Archimedean screw and other devices |
Books Based on Archimedes (Some Popular Modern Titles)
| Institution/Project | Location | Purpose |
|---|---|---|
| Archimedes Laboratory | France | To simplify and encourage creative mathematical thinking |
| Project Archimedes (NASA) | USA | Space observation using hot-air balloon technology |
| Archimedes Screw Hydro Plants | Worldwide | Generating energy from water using Archimedean screw |
| Archimedes Center for Risk Communication | USA | Improving communication and understanding in science |
Archimedes on Coins and Postage Stamps
| Country | Depiction | Year |
| Greece | Portraits and Devices of Archimedes | 1983, 2001 |
| Italy | Archimedes’ Screw | 1974 |
| Cyprus | Eureka Illustration | 1990 |
| United Nations | Symbol of Peace and Science | 2005 |
Archimedes – A Global Scientist
| Region | Contribution and Influence |
| Europe | Father of modern science and mathematics |
| Arab World | His principles were translated into Arabic |
| India | His work aligns with Charaka Samhita and Indian logic systems |
| China | Local water-lifting devices were inspired by the Archimedean Screw |
Cultural and Historical Impact of Archimedes
1. In Theatre and Art
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Many plays, children’s books, and animations have been created around Archimedes’ famous “Eureka!” moment...
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His death and struggles have been depicted as historical drama in Greek theatre...
2. In Documentaries and TV Shows
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Special episodes on Archimedes have been produced by BBC and National Geographic, reconstructing his wartime inventions...
3. In Educational Curricula
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Archimedes' experiments are still taught through practical demonstrations in physics and mathematics classrooms...
Science experiment kits based on his principles are available in schools...
Books Based on Archimedes (Some Popular Modern Titles)
| Book Title | Author | Language |
|---|---|---|
| The Works of Archimedes | Thomas Heath | English |
| Archimedes and the Door of Science | Jeanne Bendick | English (Simple explanation for children and youth) |
| The Archimedes Codex | Reviel Netz & William Noel | English |
| Archimedes | Charles River Editors | English |
A Special Chart: Modern Applications of Archimedes' Inventions
Invention / Principle |
Modern Application |
Field |
Archimedes Principle |
Shipbuilding, Submarines |
Physics, Naval Engineering |
Archimedean Screw |
Water management, Hydro power |
Agriculture, Renewable Energy |
Lever Theory |
Cranes, Robotic arms |
Mechanical Engineering |
Calculating π |
Computer graphics, Circular design |
Computer Science, Mathematics |
Method of Exhaustion |
Integral Calculus |
Advanced Mathematics |
Heat Ray |
Laser and solar weapons |
Military Science, Solar Physics |
Archimedes and Literature
In several literary works, Archimedes has been called the "world’s first mechanical genius."
The author Arthur Koestler, in his famous book “The Sleepwalkers”, described Archimedes as the first shining star of the scientific revolution.
Comparison of Archimedes’ Era and the Present
| Field | Archimedes’ Era | Modern Era |
| Application | Experience-based | Data-driven with precision instruments |
| Theory | Hand-drawn diagrams and manual calculations | Computer-aided design |
| Role in Society | Advisor to kings | Scientific institutions |
| Wartime Contribution | Personal war machines | Defense organizations and AI weapons |
Death and Tragic End
- When the Romans attacked Syracuse (212 BCE), Archimedes was deeply focused on a geometric diagram...
- A Roman soldier killed him, even though Roman General Marcus Claudius Marcellus had ordered that he be taken alive...
Timeline of Archimedes' Life
| Year | Event |
| 287 BCE | Born in Syracuse |
| 250 BCE | Invention of the Archimedean Screw |
| 240 BCE | Work on the accurate value of Pi |
| 213 BCE | Roman attack and use of war machines |
| 212 BCE | Death – Killed by a Roman soldier |
Memory and Honors
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Statues of Archimedes can be found in Greece, Italy, and around the world.
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His image has appeared on Greek currency and postage stamps.
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Many scientific and mathematical awards and institutions are named after him.
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The Archimedes Palimpsest is an ancient manuscript that preserves his original works.
What Can We Learn from Archimedes?
He calculated the value of pi using only diagrams and polygons.
Humility in knowledge
He never claimed, “I know everything,” but said — “I understand because I investigate.”
"Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty."
"Do not disturb my circles!"
(Said to be his last words before a Roman soldier killed him)
Legacy and Influence
- Foundations of hydrostatics and mechanics.
- Influenced Galileo, Newton, and modern physicists.
- His works were translated into Arabic and Latin during the Islamic Golden Age and European Renaissance.
- Craters on the Moon and Mars named "Archimedes".
Why Archimedes Matters Even Today
Archimedes laid the ground for physics, engineering, and fluid dynamics. From submarines to irrigation pumps, his principles are still in use.
FAQ (Frequently Asked Questions)
Q1: What is Archimedes' Principle?
A: It relates to the upward force on an object submerged in a fluid, equal to the weight of the fluid displaced.
Q2: What does the word "Eureka" mean?
A: It is a Greek word meaning — “I have found it.”
Q3: Did Archimedes create military weapons?
A: Yes, he developed several mechanical weapons to defend Syracuse.
Related Scientists
Hero of Alexandria – A mechanical inventor who came after Archimedes.
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Galileo Galilei – Revived and extended Archimedes' scientific ideas.
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Isaac Newton – Conducted further research building on Archimedes’ work.
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Hippocrates – A contemporary medical scientist of Archimedes.

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