Kauv, txawm tias qhov yooj yim ntawm daim duab, yog lub cim nyuaj thiab muaj txiaj ntsig. Txawm tias cov neeg thaum ub siv nws los ua lub cim zoo nkauj, ib qho qauv uas yooj yim siv rau ntoo, pob zeb, thiab av nplaum. Cov duab ntawm cov kauv sib txuas symmetry thiab golden piv; thaum pom kev pom, nws ua rau muaj kev sib haum xeeb thiab kev zoo nkauj. Cov kauv, txuam nrog lub cim ntawm qhov chaw, tau ntev tau pib pib, los ntawm qhov twg evolution, kev loj hlob, kev txav ntawm lub neej pib. Nyob rau hauv ib lub sij hawm, Archimedes tau mloog rau nws daim ntawv. Ib tug kws tshawb fawb Greek thaum ub los ntawm Syracuse tau kawm txog cov duab ntawm lub plhaub spirally twisted thiab deduced lub kauv sib npaug. Lub kauj kos los ntawm nws raws li qhov sib npaug no muaj npe tom qab nws - tus kauv ntawm Archimedes.
Archimedes 'coil
Ib qho nkhaus piav qhia los ntawm qhov taw tes txav ntawm qhov nrawm nrawm raws lub nqaj tig ntawm qhov nrawm nrawm ib puag ncig nws lub hauv paus yog hu ua "Archimedes 'kauv". Nws txoj kev tsim kho yog ua raws li hauv qab no: nws cov kauj ruam yog teem - a, lub voj voog yog kos los ntawm qhov chaw O nrog ib lub vojvoog sib npaug rau cov kauj ruam ntawm cov kauv, cov kauj ruam thiab lub voj voog muab faib ua ob peb qhov sib npaug, suav nrog cov ntsiab lus faib..
ArchimedesNyob rau hauv nws treatise "Ntawm Kauv" nws kawm txog cov khoom ntawm daim ntawv no, siv polar coordinates, nws sau cia cov yam ntxwv ntawm nws cov ntsiab lus, muab kev tsim kho ntawm ib tug tangent rau lub kauv thiab txiav txim nws cheeb tsam. Qhia cov kauv ntawm Archimedes formula r=atheta. Tus kws tshawb fawb paub tias qhov nce hauv lub suab ntawm lub helix yog ib txwm sib xws.
Symbolism
Qhov txawv txawv ntawm lub ntsiab lus ntawm cov cim kauv yog qhov txawv txav. Nws yog perceived raws li cov chav kawm thiab khiav ntawm lub sij hawm (cyclic rhythms, kev hloov ntawm hnub ci thiab lunar theem, chav kawm ntawm keeb kwm, tib neeg lub neej). Cov kauv yog suav tias yog ib qho cim ntawm kev loj hlob, qhov tseem ceeb tau muab rau peb los ntawm qhov xwm txheej. Qhov no yog kev ntshaw rau qib tshiab, rau koj qhov chaw, kev txawj ntse. Cov kauv feem ntau txuam nrog tus nab, uas, nyob rau hauv lem, personifies lub tswv yim ntawm cov poj koob yawm txwv. Tom qab tag nrho, nws paub tias nab nyiam curl thiab zoo li kauv.
Nyob rau hauv qhov xwm txheej, cov kauv manifests nws tus kheej nyob rau hauv peb daim ntawv tseem ceeb: khov (qws plhaub), nthuav dav (duab ntawm kauv galaxies) los yog cog lus (zoo ib yam li lub nplawm). Cov ntaub ntawv muab kauv tau nthuav tawm los ntawm qhov tob ntawm evolutionary (DNA molecules) mus rau txoj cai ntawm dialectics.
Cov kauv ze rau lub voj voog - daim ntawv zoo tshaj plaws ntawm txhua qhov xwm txheej tau tsim. Tseeb tiag, cov ntsiab lus thiab cov ntsiab lus ntuj nyob rau hauv daim ntawv ntawm ib tug kauv yog heev muaj nyob rau hauv cov xwm. Cov no yog spiral nebulae, galaxies, whirlpools, cua daj cua dub, cua daj cua dub, cov khoom siv cog. Txawm tias kab laug sab tig lawv cov webs nyob rau hauv ib tug kauv, twisting cov xov nyob rau hauv ib tug kauv nyob ib ncig ntawm qhov chaw. Ntuj nyiam rov hais dua, nws cov creations siv tib yamtib cov ntsiab cai.
Archimedes kauv thiab Fibonacci sequence
Archimedes 'kauv muaj kev sib raug zoo nrog Fibonacci ib ntus. Txoj cai ntawm kev ua lej no piav qhia txog lub hauv paus ntsiab lus ntawm Archimedes kauv thiab ntu golden. Lawv txoj kev sib raug zoo tuaj yeem pom nyob rau hauv ntau qhov tshwm sim thiab cov ntsiab lus ntawm xwm - nyob rau hauv cov qauv ntawm cov plhaub ntawm mollusks, paj noob hlis inflorescences thiab succulent nroj tsuag, fractal cabbage thiab ntoo thuv cones, tib neeg thiab tag nrho cov galaxies.
kab laug symmetry
Lub sij hawm tseem ceeb, ua ke nrog kev sib hloov thiab kev taw qhia, tsim cov duab ntawm tus kauv. Cov spirals tam sim no nyob rau hauv cov qauv ntawm tej hauj lwm ntawm kos duab muaj feem xyuam rau lub sij hawm, tsis mus rau qhov chaw. Lawv tam sim no feem ntau nyob rau hauv cov qauv, tsawg zaus hauv architecture.
Cov no yog lub tsev teev ntuj spiers thiab kauv staircases.
Technical applications
Archimedes 'kauv yog tam sim no siv dav hauv engineering. Ib qho ntawm cov kws tshawb fawb kev tsim khoom - lub hau ntswj (tus qauv ntawm lub voj voog peb sab) - tau siv los ua ib qho kev hloov pauv dej rau cov kwj dej ntawm cov kwj deg uas tsis tshua muaj dej. Lub Archimedes ntsia hlau tau los ua tus qauv ntawm cov ntsia hlau ("qws") - ib qho cuab yeej siv dav hauv ntau lub tshuab rau kev sib xyaw ua kua, cov ntaub ntawv ntau thiab cov khoom ua khob noom. Nws qhov ntau hom yog cov ntsia hlau rotor nyob rau hauv cov pa nqaij grinder. Ib qho piv txwv ntawm daim ntawv thov nyob rau hauv cov txheej txheem ntawm Archimedean kauv kuj yog ib tug self-center chuck. Qhov no mechanism yog siv nyob rau hauv tshuab xaws rauwinding xov evenly.
Tam sim no Archimedes kauv tsim nyog tau txais kev saib xyuas tshwj xeeb thaum qhia computer graphics.
