Pascal's triangle was originally devised as a means of determining binomial coefficients: when calculating (x+y)^n, Pascal's triangle is a very convenient way to find the coefficients of the result. Go to the xth row of Pascal's triangle, and use the numbers as coefficients for each term. E.g., (x+y)^4 would be found on the 4th row, the coefficients 1-4-6-4-1. Thus (x+y)^4 = 1(x^4) + 4(x^3)y + 6(xy)^2 + 4x(y^3) + 1(y^4). Pascal later discovered the triangle's use for determining probabilities as well, and mathematicians since have found myriad other uses for it.
Pascaline
Pascaline
Pascaline
the calculator
1642 - 1645
nose
No, the very first mechanical calculators could only add and subtract. The first mechanical calculators were invented in 1623 by Wilhelm Schickard, followed by the Pascaline, invented in 1645 by Blaise Pascal. However, calculators that could multiply and divide were in use by the 19th century.
Blaise Pascal worked on the calculator for three years between 1642 and 1645. This calculator, called the Pascaline, was like a mechanical calculator of the 1940s. He created it to help his father with tax collecting.However, the first calculators were abaci, and were often constructed as a wooden frame with beads sliding on wires. Abacuses were used centuries before the adoption of the written Arabic numerals system and are still used by some merchants, fishermen and clerks in China and elsewhere.The first mechanical calculator was made by Blaise Pascal of France, called the Pascaline, in 1642.The first calculators were abacus frames. These go back to earlier than 2000 bc. Names and details are unavailable; they have been long lost. The slide rule was invented by W. Oughtred in 1632. The first mechanical adder dates to about 1650 by Blaise Pascal in France. The first practical adder/lister was patented in 1885 by William Burroughs of Rochester, New York. The first hand held calculator was invented by Jack Kilby, Jerry Merryman, and James Van Tassel in 1966 at Texas Instruments.
Pascal had the idea to invent the calculator while observing and aiding his father's official work as supervisor of taxes at Rouen. He saw what a strenuous and complicated it was to do the math, so he decided to make a device that would simplify the process.
bicycle
1645
i think 1645 not that sure