
oorgaanam maathamaattism

pathinezhaam noottaandinte madhyathil jesuit polimathum pandithanumaaya athanasius kircher kandupidicha oru vivara upakaranamo adhyapana yanthramo aayirunnu oorgaanam maathamaattism. sariyaaya nirddeshavum upayogavum undengil, ganithashaasthram, cryptography, samgeetham ennivayulppede niravadhi kanakkukoottalukalkk upakaranathinu sahayikkaanaakum. 
naappiyarinte asthikal, almaanaakkukal, swantham arca masaritmikka thudangiya munkootty kandupiduthangalil ninnu kircher oorganaamile chila ashayangal sweekarichu. akkaalathe mattu kanakkukoottal upakaranangaleppole, oorgaanavum aadhunika computing saankethikavidyaye munkootty chithreekarikkunnu. ennirunnaalum, pothuvaayi sweekarikkaathathinaal, ithu vivarasaankethikavidyayude charithratthil rasakaravum ennaal avyakthavumaaya oru adikkurippaayi thudarunnu.
vivaranavum leauttum.
onpatho athiladhikamo compartmentukalaayi thirichirikkunna oru boxo nench aayirunnu oorgaanam maathamaattism. oro compartmentilum thadi vadikaloo slaattukalo (kircher "turfa" ennu vilikkunnu) nirachirunnu. avar nadatthiya ombathu pravarthanangalkkanusrumaanu compartmentukal krameekarichirunnathu (#topics kaanuka). oorgaanam upayogikkunnathinu, ningalkk aavashyamaaya vadi neekkam cheyyukayum avaa kaikaaryam cheiyukayo ningalude kanakkukoottal nadatthaan aavashyamaaya reethiyil avaa punakrameekarikkukayo cheyyum, thudarnnu vadi boxylake thirike nalkum. oru almaanakkil kaanaanaakunnathupole chila vadi lalithamaaya meshakalaayirunnu. mattu vadikal, prathyekichu samgeetham, cryptography, ganitha vadikal enniva roopakalppanayil kooduthal sankeernavum samyojippichu upayogikkaan uddeshichathumaanu.
charithram.
1661-ll, samanamaaya, ennaal kooduthal parimithamaaya upakaranamaya arca musaaridhmikkayude vivaranam adangiya "musurjia universalis" prasidheekarichu 11 varshathinu sesham, kircher oru oorgaanam maathamaattikkam gatfried alois kinnarilekku ayachu, 12 vayassulla chaals josephinte adthyaapakan, habsburghile archduke, aarganam uddeshichirikkaam. upakaranathinte adithattilulla oru droyerilum oru koottam ganitha upakaranagalilum kircher nirddeshangal ulppeduthiyirunnu.
kircharinte vidyaarthiyaayirunna gaspar shoat pinneedu athe perilulla 1668-leeii oru pusthakatthil oorgaanam maathamaattisathe vivarichu. yadhaartha maanuvalil ninnulla niravadhi bhagangal pusthakatthil ulppedunnu. naalu varsham munbu maricha yuvavaaya chaals josephinte chhaayaachithravum ivideyundu. skottinte pusthakatthil chithreekarichirikkunna upakaranavumayi saamyamulla oorganaamukalonnum nilanilkkunnillenkilum jesuit nirmmaanathinu saadhyathayulla moonnu upakaranangalund, avayil adisthaanaparamaayi ore ulladakkam adangiyirikkunnu.
vishayangal.
skottinte pusthakatthil vivarichirikkunna upakaranathe pravarthanakshamathayaal 9 pradhana vibhagangalaayi vibhajichu, oronninum ekadesham 24 vadi undaayirunnu.
ganithashaasthram.
ganitha vadikalil oru koottam naapiyarinte asthikal ulppedunnu. onniladhikam akka samkhyakalude gunanathinum kvoshyantukal nirmmikkunnathinum sahayikkaan avarkk kazhivundaayirunnu.
jyamiti.
eee vibhaagathile vadikku oru jyaamitheeya chathuram upayogichu uyaram nirnnayikkaan kazhiyum.
kottakal.
kottakalude roopakalpana nirnnayikkaan eee vibhaagathile vadikku kazhiyum.
kaalakramam.
eesttarinteyum athumaayi bandhapetta mattu palli avadhi divasangaludeyum theeyathi nirnnayikkaan eee vibhaagathile vadi upayogikkaam. eee vadikalil varaanirikkunna theeyathikalude oru pattika maathrame undaayirunnulloo.
horography.
eee vibhaagathile vadikalil sandiyalukal nirmmikkunnathin aavashyamaaya vivarangal adangiyirikkunnu.
jyothishaasthram.
eee compartmentil oru panchapadatthil kaanappedunnathodu saamyamullatho aaya gulikakal undaayirunnu. varshathile oro divasathinum, pakalum rathriyum, sooryodayathinteyum sooryaasthamayathinteyum samayangal, ravileyum vaikunneratheyum sandhyayude dairkhyam enniva nalkiyirunnu. ellah vivarangalum 48 digri akshaamshathil (vienna) edutha alavukale adisthaanamaakkiyullathaayinu.
jyothishashaasthram.
eee vibhaagathil drishya grahangaludeyum draco nakshathrasamoohathinteyum chalanagal vivarikkunna pattikakal undaayirunnu, koodaathe 12 raashichihnangalkk jyothishaparamaaya vyaakhyaanangalum nalki.
cryptography.
oru keywade adisthaanamaakki oru cyclic transposition saifar upayogichu tekst encrypt cheyyaanum decrypt cheyyaanum eee vibhaagathile vadi upayogikkaam.
samgeetham.
eee vibhaagathile vadi samgeethajnjarallaathavarkku palli samgeetham rachikkaan upayogikkaam. kircharinte muun upakaranamaya arca masaarithmikkaykk upayogichirunnathinu thulyamaayirunnu upayogicha sisttam. avayil kramarahithamayi samyojippichu vaakyangal samgeethathilekku sajjamakkaan kazhiyunna sangeetha vaakyangalude koottangal adangiyirunnu, ithu 4 bhaagangalulla samanvayathil dasalakshakkanakkinu sthuthigeethangal srishtikkunnu.
athijeevicha modalukal.
oorgaanathinte avasheshikkunna udaaharanagal kuravaanu. skottinte pusthakatthil chithreekarichirikkunna upakaranavumayi saamyamulla oorganaamukalonnum nilanilkkunnillenkilum 17-aamm noottaandil ariyappedunna moonnu upakaranagalil adisthaanaparamaayi ore ulladakkam adangiyirikkunnu. avayil bhooribhaagavum jesyoottukalude pradhana rakshaadhikaarikale aakarshikkunnathinaan nirmmichathennu thonnunnu. avayil eathenkilum pathivayi upayogichittundo ennu vyakthamalla.
florence.
eee oorgaanathinu kuthaneyulla charivundu, athu ellah vadikalum akarshakamaakkunnu. lokamembaadumulla 24 vyathyastha nagarangalil praadeshika samayam kandethaan kazhiyunna oru dial munvashathundu (dial kircharinte "aars magna lucis ettu ambra" yill ninnulla oru thithreekaranatthinte pakarpp nalkunnu). egyptolajiyil kircharinte prashasthamaaya vaidagdhyathil kalikkunna obeliskukalkku samaanamaayi vadikal murikkunnu.
pragu.
eee oorgaanam florence modalinu samaanamaayi kaanapedunnu. chila phottokal oru adhika loha frame kaanikkunnu, athu pinneedu samrakshanathinaayi chertthirikkaam.
munny.
eee oorgaanam 'oodu maan outtu' aanu-ithu florence, prague upakaranagalil ninnu valare vyathyasthamaan, avaa adisthaanaparamaayi samaanamaan. nench charinjathalla, koodaathe peedatthil dhaaraalam adhika droyerukalundu. 
bandhapetta upakaranangal.
kircharinte munkaala arca musaarithmikka oorgaanathinu samanamaaya roopakalppanayulla oru samgeethasamvidhaana upakaranamaayirunnu. vadikalude ulladakkam adisthaanaparamaayi oorgaanathile sangeetha vadikalkku thulyamaayirunnu (avayil kooduthal edamundengilum). oorgaanam aarkkayude mechappettathum saamaanyavalkkarikkappedu oru pathippayi kanakkakkaam.