What is the Archimedes theory?

Archimedes' principle (also spelled Archimedes's principle) states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially, is equal to the weight of the fluid that the body displaces . Archimedes' principle is a law of physics fundamental to fluid mechanics.

What did Archimedes do for math?

Archimedes calculated the most precise value of pi . The fraction 22⁄7 was his upper limit of pi; this value is still in use. Archimedes also discovered mathematically verified formulas for the volume and surface area of a sphere. How exponents could be used to write more significant numbers was shown by Archimedes.

How did Archimedes find pi?

Archimedes knew that the ratio of the circumference of a circle to its diameter was π. He had the idea that he could draw a regular polygon inscribed within the circle to approximate π, and the more sides he drew on the polygon, the better approximation to π he would get.

What did Archimedes prove?

Archimedes found that the volume of a sphere is two-thirds the volume of a cylinder that encloses it . He also discovered a law of buoyancy, Archimedes' principle, that says a body in a fluid is acted on by an upward force equal to the weight of the fluid that the body displaces.

How to explain Archimedes Principle to a child?

An object floats—that is, it neither rises nor sinks—when its weight equals that of the displaced water . For example, a ship floats at a depth where the weight of the water it displaces is equal to its own weight. As the ship is loaded and becomes heavier, it sinks deeper, displacing more water.

What were Archimedes' last words?

The last words attributed to Archimedes are " Do not disturb my circles " (Latin, "Noli turbare circulos meos"; Katharevousa Greek, "μὴ μου τοὺς κύκλους τάραττε"), a reference to the mathematical drawing that he was supposedly studying when disturbed by the Roman soldier..

Did Archimedes invent calculus?

From the age of Greek mathematics, Eudoxus (c. 408–355 BC) used the method of exhaustion, which foreshadows the concept of the limit, to calculate areas and volumes, while Archimedes (c. 287–212 BC) developed this idea further, inventing heuristics which resemble the methods of integral calculus .

What language did Archimedes speak?

As a Greek citizen of Syracuse, a Greek colony in Sicily, Archimedes would have spoken and written in the Greek language . Greek was the dominant language in the region during that period.

Did Archimedes know trigonometry?

Although there is no trigonometry in the works of Euclid and Archimedes , in the strict sense of the word, there are theorems presented in a geometric way (rather than a trigonometric way) that are equivalent to specific trigonometric laws or formulas.

Archimedes was the first person to calculate an accurate estimate for pi, which we've since discovered is equal to about 3.14159. According to the Exploratorium in San Francisco, Archimedes thought pi's value was somewhere between 3 1/7 (about 3.14285) and 3 10/71 (about 3.14084).

What is the real value of pi?

The value of pi is approximately 3.14, or 22/7 . To 39 decimal places, pi is 3.141592653589793238462643383279502884197. Pi is an irrational number, which means it is not equal to the ratio of any two whole numbers.

Archimedes (2024)

1 How to Obtain
2 Mechanics
- 2.1 Synergies
- 2.2 Strategies
3 Statistics
- 3.1 Star Bonus: Attack Bonus
4 Evolution
5 Trivia

How to Obtain[]

Archimedes is unlockable with 1,000 event-limited Summoning Stones. Extra Summoning Stones can be used to upgrade Archimedes' star rating for rank * 1,000 Summoning Stones.

Summoning Stones can be obtained through four methods during events:

Mechanics[]

Archimedes has a range of 2 rock-lengths, and a multi-target ice beam attack with a slow attack speed. She is the best CC monster in game due to her global range freeze. Despite her Special Power description stating the freeze duration being 2s, because it has a long animation, it is actually 2.5s. Her evolution, Arch-Archimedes, can also be used as a main DPS due to her Special having damage after evolution. Archimedes is mainly used in Wrath of the Volcano Goddess and for farming Joint Revenge.

Power:

Shoot a massive ice beam that deals ice damage.

Special Power: Blizzard

Call upon a blizzard to freeze all enemies for 2s.

Synergies[]

(Tower needs further testing)

Strategies[]

(Tower needs further testing)

Statistics[]

Level	Attack	Gold to level up	Gold spent	Power stones to level up	Power stones spent
1	35	500	0	0	0
5	88	2,500	5,000	0	0
10	156	5,000	22,500	0	0
25	370	12,500	150,000	0	0
50	798	25,000	612,500	0	0
100	2,650	50,000	2,475,000	0	0
200	75,972	100,000	9,950,000	0	0
300	3,719,713	150,000	22,425,000	0	0
398	173,527,733	199,000	39,501,500	0	0
399	180,468,663	200,000	39,700,500	0	0
400	187,687,230	0	39,900,500	10	0
499	9,114,518,658	0	39,900,500	1,000	49,500
500	9,479,099,056	-	39,900,500	-	50,500

Star Bonus: Attack Bonus[]

	Bronze	Silver	Gold
1	+0%	+250%	+1,000%
2	+50%	+400%	+1,600%
3	+100%	+650%	+2,400%

Evolution[]

Archimedes can be evolved into Arch-Archimedes for 25,000 Ice Gems, multiplying her damage by 10, and making her special deal damage.

Trivia[]

Archimedes is the only monster whose ability changes after being evolved, as when that happens her ability, which previously could only freeze, is able to also do 10x dmg

How to Obtain

Archimedes is an unlockable character in the game, accessible through the expenditure of event-limited Summoning Stones. To acquire Archimedes, players need 1,000 of these stones. Additionally, extra Summoning Stones can be used to upgrade Archimedes' star rating, with a cost of *1,000 Summoning Stones per rank. Players can obtain Summoning Stones through various methods during events:

Dropped from Treasure Knome enemies: The number of stones dropped ranges from 1 to 5, depending on the map.
Bought from Seller: Available at rates of 100 coins per stone, with a maximum purchase of 10 stones at a time.
Reward for watching an ad from the Monitor: Players can earn 10 Summoning Stones per ad watched (20 with 2x Monitor bonuses).
Bought using real money: Players have the option to purchase packs of 1,000 or 2,000 Stones.

Mechanics

Archimedes possesses a range of 2 rock-lengths and utilizes a multi-target ice beam attack with a slow speed. She is heralded as the best crowd control (CC) monster in the game due to her global range freeze. Interestingly, despite the Special Power description stating a freeze duration of 2 seconds, the actual duration is 2.5 seconds due to the animation. Archimedes' evolution, Arch-Archimedes, transforms her into a formidable main DPS character, thanks to additional damage after evolution. Her powers include:

Power: Shoots a massive ice beam dealing ice damage.
Special Power (Blizzard): Calls upon a blizzard to freeze all enemies for 2.5 seconds.

Synergies and Strategies

Details about Archimedes' synergies and strategies are marked as requiring further testing in the game, indicating a potential for intricate gameplay interactions that are yet to be fully explored.

Statistics

Archimedes' progression in the game is outlined through various levels, detailing the required gold, power stones, and associated bonuses. The statistics include the attack, gold needed to level up, gold spent, power stones needed, and power stones spent at each level.

Star Bonus: Attack Bonus

The star bonus system provides attack bonuses based on the star level:

Bronze: +0%
Silver: +250%
Gold: +1,000%

Evolution

Archimedes can evolve into Arch-Archimedes for 25,000 Ice Gems, resulting in a tenfold increase in damage and a transformation of her special power to deal damage as well.

Trivia

An interesting trivia point is highlighted: Archimedes is the only monster in the game whose ability undergoes a significant change after evolving. The ability, initially capable of freezing, gains the additional capability to deal 10 times the damage post-evolution. This sets Archimedes apart from other in-game characters, adding a unique element to her evolution.

In conclusion, Archimedes stands as a versatile and powerful character in the game, offering both crowd control and damage-dealing capabilities, especially after evolution. The article provides a comprehensive guide for players looking to understand and maximize the potential of this formidable in-game asset.