Rangarira ndima iri pasi apa uye ipapo pindura mubvunzo gare gare mumutauro mumwe chetewo sechikamu:  Passage: Archimedes akakwanisa kushandisa infinitesimals nenzira yakafanana neyanhasi integral calculus. Kupfurikidza nouchapupu hwokupokanidza (reductio ad absurdum), aigona kupa mhinduro kuzvinetso kusvikira kumwero wokururamisira, nepo achidudza miganhu mukati mayo mhinduro yacho yakanga iri. Nzira iyi inonzi nzira yokuneta, uye akaishandisa kuti awane kukosha kwapi. MuMeasurement of a Circle akazviita nokudhirowa hexagon yakakura kunze kwedenderedzwa uye hexagon duku mukati medenderedzwa, uye zvishoma nezvishoma achiwedzera kaviri nhamba yemativi epolygon imwe neimwe yakarongeka, achiverenga urefu hwemativi epolygon imwe neimwe padanho rimwe nerimwe. Sezvo nhamba yemativi inowedzera, inova nzwisiso yakarurama zvikuru yedenderedzwa. Pashure pematanho mana akadaro, apo mapolygon aiva nemativi 96 rimwe nerimwe, akakwanisa kuziva kuti ukoshi hwapi hwakanga huri pakati pe31/7 (anenge 3.1429) ne310/71 (anenge 3.1408), hunotsinhirana noukoshi hwawo chaihwo hweanenge 3.1416. Akaratidzawo kuti nharaunda yedenderedzwa yakaenzana neπ yakapetwa nekwere yeiyo nharaunda yedenderedzwa (πr2). Mubhuku rake rinonzi On the Sphere and Cylinder, Archimedes akataura kuti ukuru hupi nohupi pahunowedzerwa pahuno hwacho kakawanda zvakakwana huchapfuura ukuru hupi nohupi hwakapiwa. Iyi ndiyo pfuma yaArchimedes yenhamba chaidzo.  Mubvunzo: Chii chinoitika ku"approximation confidence" yedenderedzwa sezvo nhamba yemativi inowedzera?
inova fungidziro yakarurama zvikuru