How does Archimedes principle apply to a boat?
A boat displaces it's own weight of water, when floating.
The trick is to make sure that there is enough waterplane area and freeboard, to stop water coming in and making it heavy enough to sink.
What did Archimedes study in maths?
He was interested in geometry. See the quote "Noli turbare circulos meos!"
Why do you need the Pythagorean theorem?
The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle (the side opposite the right angle) when you are given the two legs of the triangle (the other two sides). It becomes very important and crucial to math in trigonometry and later levels of math.
What did Aristotle do in the Scientific Revolution?
Aristotle contributed the Heliocentric theory which was the earth was in the center of the earth. Ptolemy built on this later on with the moon and stars having their own orbits
What is the contribution of Indian mathematicians in the field of pie?
Many Indian mathematicians have made lot of effort on pi.
1)Madhava of Sangamagrama has also made huge contributions on pi.
He was able to estimate π as 3.14159265359, which is correct to 11 decimal places.
2)In the beginning of the 20th century, the Indian mathematician
Srinivasa Ramanujan found many new formulas for pi.
This formula was used to set several
π computing records in the end of the 1980s, including the first calculation of over one billion (1,011,196,691) decimals in 1989. It remains the formula of choice for π calculating software that runs on personal computers.
Why Pi should be replaced with tau?
Pi (3.14) should be replaced with tau because angles are measured easily in radians than in degrees. For an example, there are 2Pi radians in a circle. 2Pi is equal to one tau (6.28). Therefore, there are tau radians (360 degrees) in a circle. A semicircle would have half tau (180 degrees) and a quarter of a circle a quarter tau (90 degrees) and so forth.
P.S. - Pi is a constant which references the circumference of a circle to its radius (2Pi radius; it will become tau radius).
Cartesian coordinate system and Rene descartes discoveries?
location of the position of a bug in space
What if Charles Babbage were never born?
It probably would have made very little difference, as the developers of early computers in the 1940s generally knew little or nothing of him until after they had completed their machines.