Page 366 - PowerPoint Presentation

ĈETRNAEST STOTIH I CELA TRI TO JE LJUDI LUDOLFOV BROJ PI

FOURTEEN HUNDREDTHS AND WHOLE THREE THAT'S PEOPLE LUDOLF'S
NUMBER PI

Autor:ŢELJKO ANTONIJEVIĆ OŠ ''Sveti Sava'' VII-3
Mentor:VESNA KOMNENOVIĆ, diplomirani profesor matematike elektrotehniĉkog fakulteta
Rezime
''Pi ili π je matematiĉka konstanta, danas široko primenjivana u matematici i fizici. Njena pribliţna vrednost
je 3,14159, a definiše se kao odnos obima i preĉnika kruga ili kao odnos površina kruga i kvadrata nad
njegovim polupreĉnikom.'' Pi je takoĊe poznato i kao Arhimedova konstanta (ne treba ga mešati sa
Arhimedovim brojem) ili Ludolfov broj. U praksi se beleţi malim grĉkim slovom π a u srpskom jeziku je
pravilno pisati i pi. Oznaka za broj π potiĉe od grĉke reĉi perimetar (περίμετρος). U matematiku ju je uveo
Vilijam Dţouns 1707. godine, a popularizovao ju je Leonard Ojler 1737.Numeriĉka vrednost pi zaokruţena
na 64 decimalna mesta i iznosi:
π ≈ 3,14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 5923.

Sadrţaj:
-biografije Arhimeda i Ludolfva Van Cejlona
-osnovne osobine broja pi,numeriĉka vrednost broja pi i definicije(sa trigonometrijskim funkcijama)
-formule broja π (sa radijanom)
-pi kroz vekove
-zadatak i zanimljivosti
-literatura

Kljuĉne reĉi:Pi,broj,krug,Arhimed,Ludolf.

Summary

''Pi or π is a mathematical constant, now widely applied in mathematics and physics. Its approximate value is
3.14159 and is defined as the ratio of circle diameter and circle circumference or as a ratio of area of the
circle and the square over its radius.''Pi is also known as Archimedes's constant (it shouldn't be confused
with Archimedes's number) and Ludolf's number. In practice is noted by the little Greek letter π in the
Serbian language is proper to write as pi. Mark for the number π comes from the Greek word perimeter
(περίμετρος). It is was introduced in mathematics by William Jones in 1707th , and popularized by
Leonhard Euler in 1737th.The numerical value of number pi is rounded to 64 decimal locations and it is:
π ≈ 3,14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 5923.

Content:
-biography of Archimedes and Ludolfv Van Ceylon
-basic properties of pi, the numerical value of pi and definitions (with trigonometric functions)
-formulae of π (with radians)
-pi through centuries
-task and attractions
-literature

Key words: Pi, number, circle, Archimedes, Ludolf.