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  2. Archimedes - Wikipedia

    en.wikipedia.org/wiki/Archimedes

    Archimedes of Syracuse [a] (/ ˌ ɑːr k ɪ ˈ m iː d iː z / AR-kim-EE-deez; [2] c. 287 – c. 212 BC) was an Ancient Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily. [3] Although few details of his life are known, he is considered one of the leading scientists in classical antiquity.

  3. Siege of Syracuse (213–212 BC) - Wikipedia

    en.wikipedia.org/wiki/Siege_of_Syracuse_(213...

    Archimedes protested at this interruption and coarsely told the soldier to leave; the soldier, not knowing who he was, killed Archimedes on the spot. [7] The Romans now controlled the outer city but the remainder of the population of Syracuse had quickly fallen back to the fortified inner citadel, offering continued resistance. The Romans now ...

  4. Nested intervals - Wikipedia

    en.wikipedia.org/wiki/Nested_intervals

    When examining a circle with diameter , the circumference is (by definition of Pi) the circle number . Around 250 BCE Archimedes of Syracuse started with regular hexagons , whose side lengths (and therefore circumference) can be directly calculated from the circle diameter.

  5. On Floating Bodies - Wikipedia

    en.wikipedia.org/wiki/On_Floating_Bodies

    Archimedes' investigation of paraboloids was possibly an idealization of the shapes of ships' hulls. Some of the paraboloids float with the base under water and the summit above water, similar to the way that icebergs float. Of Archimedes' works that survive, the second book of On Floating Bodies is considered his most mature work. [6]

  6. Proof that 22/7 exceeds π - Wikipedia

    en.wikipedia.org/wiki/Proof_that_22/7_exceeds_π

    Archimedes wrote the first known proof that ⁠ 22 / 7 ⁠ is an overestimate in the 3rd century BCE, although he may not have been the first to use that approximation. His proof proceeds by showing that ⁠ 22 / 7 ⁠ is greater than the ratio of the perimeter of a regular polygon with 96 sides to the diameter of a circle it circumscribes.

  7. The Method of Mechanical Theorems - Wikipedia

    en.wikipedia.org/wiki/The_Method_of_Mechanical...

    Archimedes argument is nearly identical to the argument above, but his cylinder had a bigger radius, so that the cone and the cylinder hung at a greater distance from the fulcrum. He considered this argument to be his greatest achievement, requesting that the accompanying figure of the balanced sphere, cone, and cylinder be engraved upon his ...

  8. Noli turbare circulos meos! - Wikipedia

    en.wikipedia.org/wiki/Noli_turbare_circulos_meos!

    According to Valerius Maximus, the phrase was uttered by the ancient Greek mathematician and astronomer Archimedes. When the Romans conquered the city of Syracuse after the siege of 214–212 BC, the Roman general Marcus Claudius Marcellus gave the order to retrieve Archimedes. Some soldiers entered the house of Archimedes and one of the ...

  9. Archimedes' heat ray - Wikipedia

    en.wikipedia.org/wiki/Archimedes'_heat_ray

    Archimedes may have used mirrors acting collectively as a parabolic reflector to burn ships attacking Syracuse. Archimedes is purported to have invented a large scale solar furnace, sometimes described as a heat ray, and used it to burn attacking Roman ships during the Siege of Syracuse (c. 213–212 BC). It does not appear in the surviving ...