lagarithmic spiral

lagarithmic spiral, equiangular spiral ledhaa groth spiral anedi tarachugaa prakrutilo kanipinche sweeya-saaruupya spiral vakrarekha. lagarithmic spiralnu vivarinchina modati vyakti albrecht durer (1525), athanu dheenini "erthenal line" ("eviz lini") anie pilichadu. oka sataabdam taruvaata, eee vakrarekhanu decartes (1638) charchinchaaru, taruvaata dheenini "spira mirabilis", "adbhutamaina sarpila" anie piliche jacob bernauli vistrutamgaa parisoedhimchaaru. 
lagarithmic spiralnu archimedian spiral nundi vaeru cheyavachu, endukante lagarithmic spiral yokka malupula madhya dhooram rekhaganita purogati perugutuu untundi, ayithe archimedian spirallo eee dhooraalu sthiramgaa untaayi.
nirvachanam.
dhruva akshaamsaala suutram _ 1 loe lagarithmic spiral nuu ilaa vraayavacchu
suutram _ 2
ledhaa
suutram _ 3
suutram _ 4 sahaja lagarithms yokka bays, mariyu suutram _ 5, suutram _ 6 nijamaina sthiraamkaalu.
cartician coordinatelaloo.
dhruva sameekaranamtho lagarithmic spiral
suutram _ 7 
cartician coordinatela suutram _ 8 loe suuchimchavachchu
suutram _ 9
sanklishta samatala suutram _ 10 loeh
suutram _ 11
"spira mirabilis" mariyu jacob bernauli.
spira mirabilis, laatinlo "miraculus spiral", lagarithmic spiral kuu maroka paeru. eee vakrarekhaku ippatike itara ganita saastravettalu paeru pettinappatikee, eee vakrarekhaku nirdishta paeru ("adbhutam" ledhaa "adbhutamaina" suruli) jacob bernauli dwara ivvabadindi, endukante athanu daani pratyaekamaina ganita lakshanaalalo okadaanitoe aakarshitudayyaaduh suruli yokka parimaanam perugutundi conny daani aakaram prati varusa vakrarekhatho maaradu, idhi sweeya-saaruupyata anie piluvabade lakshanam. bahusha eee pratyaekamaina aasti phalitamgaa, spira mirabilis prakrutilo udbhavinchindi, natilus shellu mariyu poddutirugudu talalu vanti konni perugutunna roopaallo kanipistundi. jacob bernauli thana talapaina "eedem mutata risarjo" ("marchabadinappatiki, neenu adhe talettutaanu") anae padabandhamtho paatu atuvanti sarpilaanni chekkaalani korukunnadu."), conny, porapaatuna, badulugaa oka archimedian spiral akkada unchabadindi.
aastulu.
lagarithmic spiral formula _ 12 krindi lakshanaalanu kaligi undhi (spiral chudandi):
pratyeka kesulu mariyu anchanaalu.
bangaaru suruli anedi oka lagarithmic suruli, idhi prati 90 degreela bhramanaaniki (dhruva vaalu konam 17.03239 degreelu) bangaaru nishpatti karakam dwara bayatiki perugutundi. dheenini faibonachi sankhyalaku anulomaanupaatamlo trijyamtho quarter circle kramaanni kaligi unna "faibonachi spiral" dwara anchanaa veyavachu.
prakrutilo.
aneka sahaja drugvishayaalalo lagarithmic spirals kuu daggaragaa unde vakrarekhalanu kanugonavacchu. ikkada konni udaaharanalu mariyu kaaranaalanu anusarinchandih

