Pythagorean Knowledge in Babylonia Pythagorean theorem was found to be used by babylonian centuries before Pythagoras The Phlimpton 322 Tablet It contains a highly sophisticated sequence of integer numbers that satisfy the Pythagorean equation a2+b2=c2, known as Pythagorean triples. Babylonian Problem on circle segment:. The following problem and the solution were found on a Babylonian tablet dating from about 2600BC: Problem: 60 is the Circumference, 2 is the perpendicular, find the chord. Thou double 2 and get 4 Take 4 from 20, thou gettest 16 Square 16, thou gettest 256 Take 256 from 400, thou gettest 144 Whence the square root of 144, 12 is the chord. Let's write this in using algebra, with” C ” being the length of the circumference, ”c ” being the length of the chord and ”s” being the perpendicular. Thou double 2 and get 4 That's 2s. Take 4 from 20, thou gettest 16 20 is C/3. So this is C/3 - 2s. Square 16, thou gettest...
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To solve the above ancient Math problem, lets do some translation first! “ The first field gave 4 gur for each bur and the second field gave 3 gur for each bur. The first field gave 8,20 more than the second. The some of the field area is 30,0. What is the area of each field? * “bur” and “sar” are units of field area. 1 bur= 1800 sar and 1 sar is about 36 square meters. * “gur” and “ Sila” are units of grain volume. 1 gur= 300 Sila and 1 sila is about 1 liter. As Babylonian numbers were written in sexagesimal we have some calculations first to convert 8,2 and 30 to base 10. 8,20( base 60)= 500 ( base 10) sila= 5/3 gur 30 ( base 60)= 1800 ( base 10) sar= 1 bur Solving this word problem, using our modern math, looks very easy! if x= area of first field and y= area of second field, we can have: X+ Y= 1 4X- 3X= 5/3 and then the area of first field is X= 2/3 bur= 1200 sar And the area of second field is Y=1/3 bur= 600 s...
Euclidean Geometry reading respond. Why is Euclid and Euclidean geometry still studied to this day? Why do you think this book has been so important (and incredibly popular) over centuries? Is there beauty in the Euclidean postulates, common notions and principles for proofs? How can we define beauty if these are considered beautiful? For over 2,000 years, Euclid ’s works were considered the explicit textbooks not only for geometry, but also for the absoluteness of mathematics. Even in modern times, several influential scholars have been sparked by the beauty of the work. Hobbes, Einstein, and Russell all praised the work–not only for its mathematical accuracy of geometry, number theory, and ancient algebra, but also for its beauty and power to show these infinite, pre-existing facts to the eye of mankind. We may have realized that the ancients and early moderns saw mathematics differently. Plato, Euclid saw mathematics as much more than a set of tools for solving practical...
Lovely! Great tracking of your mathematical thinking here.
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