eugene salamin did the first proof to find pi.
eugene salamin did the first proof to find pi.
who did the first proof to find pi?
eugene salamin
in the 7th century bc, the greek mathematician thales of miletus used geometry to solve problems such as calculating the height of pyramids and the distance of ships from the shore. he is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to thales' theorem. pythagoras established the pythagorean school, which is credited with the first proof of the pythagorean theorem, though the statement of the theorem has a long history. eudoxus (408–c. 355 bc) developed the method of exhaustion, which allowed the calculation of areas and volumes of curvilinear figures, as well as a theory of ratios that avoided the problem of incommensurable magnitudes, which enabled subsequent geometers to make significant advances. around 300 bc, geometry was revolutionized by euclid, whose "elements", widely considered the most successful and influential textbook of all time, introduced mathematical rigor through the axiomatic method and is the earliest example of the format still used in mathematics today, that of definition, axiom, theorem, and proof. although most of the contents of the "elements" were already known, euclid arranged them into a single, coherent logical framework. the "elements" was known to all educated people in the west until the middle of the 20th century and its contents are still taught in geometry classes today. archimedes (c. 287–212 bc) of syracuse used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series, and gave remarkably accurate approximations of pi. he also studied the spiral bearing his name and obtained formulas for the volumes of surfaces of revolution.
geometry
, , and gave expository accounts of the first proof of . much of the background in "l"-adic cohomology is described in .









































deligne's first proof of the remaining third weil conjecture (the "riemann hypothesis conjecture") used the following steps:









































section::::deligne's first proof of the riemann hypothesis conjecture.:use of lefschetz pencils.
weil conjectures