Cum Priuilegio S .Cx£ Maieft. ad anno s x v,'
FRANC OF FRTJ AD ^OENFM^ apud Godefridum Xampach.
Anno M. DC.XI.
-ocr page 2- -ocr page 3-iiiinum meum bcne/i-
cuno.
V M non pm nejcm , qu!tm Ttt mmes iqjhil^mn qutdew aigt; prcy 'vihtatem , /èdproj/ter UJciuinbsp;argutijjimum Jimnl S’ 'venufiifdi-muffi '-pciU niihi e:i coniicere, tmto tibt gratimnbsp;amp; Acccptim fort murms, quinto idNihilo 'vtci-
mtos.
^kquididesfquod aUqrn Nihtlicogitatknetibiallubefcaf,zd S'pitrum Sporuu. S viltJpmum,S^dnimedur/ibtle,hoceli,penènbsp;nihiiijjèoportet. ^^iUxcurhinrertimnaturAmultaJint, cfttAmcnnbsp;inter eA delcHsts. Cogitahisfortaffède vno cx i^tornis Epicuri: nje-rum idNihitesi. iqthilvtroA mehAbes Antea. Eamu^ itaqueper Ble^nbsp;TnentA,haceBpereA,quAfkntin vnAqtiAj.renimtmA.
VrimmndeT“.rrAyhoccfideK^rchimedis mei thefturdnefom-nies, qtti TerrAminArenea refoUüt, qui puluijcukrum dcnA mi Ui a pojjidctin quot;JnogronopApAtteri Wnum cnim/tjubtraxcro Igumero-rumilliyAtyriadrimq^ r.it tones plnne confudero. {^^ddequod huiuj-modt corpufculorumfigurA necoculis 'uidctur ,nec obnbsp;nbsp;nbsp;nbsp;chime de
pro^
frodltur. 7^Hum igttur in ijs ingenium, nulit ré non vifk cupido^-EB ér res durabUis,fuluis, 'vt qus: trabtlus vetufiate fihacik, cariC confecilsinjidensdominatur. 7lt;{imiumigiturded€ro:,hoc(idcdsro-
IgnisporrofcintdU,et(ipArihn ér e’vunidx:, nunquam tarnenfint minor es arenulis pyritarumgt;qu£ confliclu deteruniur,autflrigmen-tkprunarmn; qu^iam interpuluifctdssreieé. FiguralesitaqueTy-retmidas, quas mmquAtn vidi,, Platoni relinqno, vt ex js ar bit ratUnbsp;Jho concinnet ignem.Feniendumad Elefnenta int er media ^
Ventum ér futlos d'arepoJfem,fedhi venduntur-, nequ^hoctan' turn in vtribus Ijlandicisjed ér in chartk, quin ér in verbis, idqiitnbsp;fajjimper orbem t errarum. Res itaquepreciofafumus, ér qua magnonbsp;mihiconJiat.,7peqHehiZcaptaingenio,qutarudlsérinformis..
K.^d Aquas igitur devoluimur.. Har entem in vrnaguttam (a-crofanóii vat es pró re contemptij^mareputant. Et Germani mjlri nil minus habent: dia viniguttula, quapoB cyathum exhaujlumfit ¦nbsp;per vnguem excutitur, ibiqueharensmsle Jita fiat. Sihancobtuleronbsp;guttam, minus fine dedero, quam ille Perfa ,vola manus Choaffentnbsp;Regi (ko affundens; honejlius et lam. munus ,vini gutta ex vnguénbsp;Germani, quamderofim.ramentum d'eungue injrendentis. ér Ttelnbsp;tantillim negantkltaliDemy^ figura gutta globofi iam fjseculatio-nempollicetur geometricam: fed vereor, ne ér boctibifitnimium,.nbsp;qui tantopere dele cl ar is Nibdo,
^uidfiadanimaliafikt tranfitto ?' Vereor vtmBuas Athenas^. Tjuper enim apud te vidï volumina rerumfinguUrium ér rara-rum ,emquiex veteri Parmenidisjchola mottm tolüt, quia motus ¦nbsp;partem vnam (fcdicet praterïtam) perfeciam non habeV Gho innbsp;opere cum infint monfirapleraqtie, haudreor defutura animdcula,nbsp;prodigiofa exilitate.. ^uanquam nihil opus uti c onkel ur is. Habesnbsp;animaduerfionesScaligeri in Cardanifiibtilitates. Invenksibi animal minimum Exercitatione c x c i v. num.y.. CuniculHmfuh-lutaneum. EB ver o ér hoe nimitim-. 2ljm cum incedat id animal-tulum, anima non caret. Igitur Animam tihi air offer am, cui eti.imnbsp;inanimemguttam dare reftgio. Nfiforte exfeBo grajfatricis befiianbsp;cadauere noua aliqua deprehendipojfi fierusr. de quo videritD lefnbsp;finiusamtomicus.nbsp;nbsp;nbsp;nbsp;Talk
-ocr page 5-lalUduntmtditansAnxie,pontemtra.nfi0, confujm(uperinei-mlitate mea, qui eer am tefmejhena comparuijjèm; niji quad eadem per pet ue chordet oberrans, identidem Nihil ajfero, nee inuenirem,.nbsp;quidnam ejjet Nihiloproximunt y qmdingenijpateretur acumensnbsp;commodum accidit, vt vaporibus vijrigoris inniuem coeuntibus,.nbsp;ffocculijpardm in veflem meam decider ent, omnesfexanguli, villa-fisradijs.EiameHerculeremquauis gutta minorem , figurittam ta-mem ,eiajlrenam exoptatijiimam nihilamanti y dr dignam quamnbsp;det\f:.JMathematicui,'Ni]oil hahens,Nthilacetpiens, quia di de caelonbsp;defcendit, dfjlellarum geritfimilitudmem\
Redeatur adpatr0num,dum duratflrenula, ne corporis halitu te-pidofoluatur in nihilum.
'^tqueenfatalenomen. O rem VVackheriogratijjimam Nihil amanti.lslam fi a Germanoquar^uNixqmdfit,reJpondebit Nihil,lt;nbsp;Jiquidem LatinepoJsYt..
K^ccipeigitur hancNihiliac(e^ioije?n Jèreno vuliu, etjifipk, H— nimam contine,ntdènu$nihil accipias.
BicendumenmesiSocratidefaltupulicls: hoceU, ^upre Niues: primo cafu jpriuj^tt^nt implieenturin maiores jloccos,perpetuo ca-dant,fexanguU,villofis,vtpennuU,fenisradys:
Imbfacejfat hincpopularis contemptm injeitia^ leno Arijlopha-nes; ^uid enim mthi opm Socrate,. ipfins fabuU materia ? ipjèin Regittm Tfait en rejpicio,qui inter Dei laudescommemerat,quod detnbsp;Kiuem feut lanamyqm voce niffaltorexprefttvillofosillosniuuliamp;nbsp;me a radios. Ver if mik cnim.eJi, cum fcderct fcjfm, aut far et inni--xuspedo adeuf odiamgregis.y vidiffeamp; notaffe fellula^ hafieni'nbsp;vales,in lanas:ouium defuentes,tbiq, adharentes..
Sedadrem veniamtes taco miffo. Cum perpetuum hngt;oft, quoties^^^n^i^ . ningere in dpit, vt prima illa Niuk elementafiguram pr afferant niualss.,jnbsp;Aflertfcifxanguliycaufam certain cJfneceJfe'sK N^mfcafift,nbsp;cur non aquè quinquangula cadunt autfptangulaycurf mperfx-angulafquidem nondum cofufa dp glomerat a multitudtne, variopf^nbsp;impuiju, fèdjparf ^difinBa ?
^ua de re, cum efèt mihifermo cum quodam nuper,prmum
A S. itttn
-ocr page 6-internoscemtenit eaufam noifi materia quarenda'm:,Jèdin agente* Materia ewm mudeii ‘vaporda dum oritur ex terra, calore ^uddaPtnbsp;fuo Juhueêi m, non alias quant centintm' df 'luaJijitiidHS csi: mn tgunbsp;turdifltn^iuin Jingtdares huiuj nodtfiellulas ^
£lmraa, vndehocjtiam? Cun, Ji talk etiamjit vapor, idoculis cerni nonfofit ,quia vaporptiluciUpis: Rejpondeo: Vapor extjlit ennbsp;nfelutione humoris fuhterrand. quod arguitur ex tim lemtatedfnbsp;afcenpt. In refolutione verofgnra. non hahem locum ldenim babetnbsp;fgurarnexfc quodfeipfoteminatitrgt; cum terinini figurant conjli-tuant: vapor, refoluttonefacia ex gemribits humidorum eïi, dvnbsp;fuit, hecejl fèipfp nonterminatur, nullam igjturfiguramretinettnbsp;donee tondtnjètur in niuem velguttam, ''
CumigiturconJlaretfCatifam inditx figtira fixanguUeJJèpenes agenten? tdubitatumporrofuit,quodnam id e (Jet agens, dl quomodanbsp;ageret, num vtforma rnfit a,an vt ejfciensextrinjècïï.num ex necefnbsp;fitate materia efficcret fguran? fèxangulam, an exfua natura ,puta.nbsp;fui congenitus ft vel archetypuspulchritudinis qua efiinfxangtdo,nbsp;velfink notitia, ad quern ijta format conducat?
Vt pat eat har urn quajltonum difcrimen, vtamur excmplk nobi-Itbus-.fèdgeonietrice deferiptis. Ifjtn adcgtiajltonem nojlrampluri~ mumfact et excurjus ijle.
A|gt;ntn Alveoli.
Siex Geometris quaras,queordme frucliJlnt Jpumalueoli,re-Jhondebunt, ordinefexangulo. Simplex ejl rejpofoex intuitufirn pikt foraminufuportarum,laterumy^,quih.efformdturalueoli.Circum-Jlant.n alueosfitngulosfèxalffngulis ktertb. de in ter mediofingulinbsp;comunicantes. At vbifundos alucorurnfueris contcmplatm finguiosnbsp;Prints plank in obtujumdefe'ndcre videbk angulum, Fu??dü hunc,nbsp;[car in ei potius micupes') cumfink alueolilatertb. copulantfex alijan-guHtres altiores trilateri,planeeffimiies imo cannamp;angulo, treshu-miliores quadri later? interieHi. Pr at erea rlofderandu tjt gernin v effenbsp;Alueolorum ordinem ,portk auerfis in cotraria, po flick tnterle ton-tiguk dflip atk, anguik car in arum pngularum ordtnk vnius, in-t er angulos tres trium car inat u m ordmk alterim inftrtk, ea arte, vtnbsp;alueus quiUbet non tantumJex lateribw communicet cutn fnkai-
ueu
-ocr page 7-Vets in esdetn ordinecircumjlantihm, fed etum trinisin fundopU--nis cum tribus alijs eilueis ex er dine auerfi. It afit vt apesfinguhe no-uem haheant vicinas, a qmhbet vno communipariete dt(lin£Isi. flana carinarum trina,omnia inter fefimilia fiint,eim figure, quatnnbsp;Gcometra Rhombum appellant, putbus ego Rhomhis admonitus, Co poranbsp;tept in Geometria intpuirere, num quod Corpus fimile regularibusnbsp;^uin^ i^^rchimedets quatuordecim, ex rhomhis meris conftituinbsp;pojfitlinuenifpduo, quorum alterum cognatumJit Cuoo cJ OHae-dro,reliquum dodecaedro Jr Isohaedro Jnam cubmipje tcrtqvi-cemfujlinet, cognatusduobus tetraedris inukem coaptatis) primumnbsp;duodecim rhombts clauditur, alterum triginta. Sedprimo hac estnbsp;tommunis propriet as cum cubo ,quod vt anguU oEio cuhorum o£io-Korum circa idempunblu coaptati locum omnemexplent, nullorelt-^0 vacuo,Jic Rhombiciprimi, obtujifeutrilaten anguli quaterninbsp;idemprajient, f;‘quadrilateri angulifinifmiliter. ItaqueJiruipe-tefi locusfolidus ex mcris hiJcerhor?%bis ,Jtc vtfimper quatuor trila-tirivtcf fex quadrilateri anguli ad vnum ^ vnumptmliumcon-turrant. Et vt'Jumma quadamfiat: quando locusfolidusper cuhosnbsp;eequales ordine reBo impletur: tunc vnu'm- cubum contingunt aidnbsp;12.angulisfingulis, crprxtereaJexquaternis, itaq^contingentiumnbsp;Junt oBo dr triginta. o// quando tmpletur locmfolidtss per rhombi-caaqualia :tunc vnum rhombicum contingunt alia 6 angulis fingu-lisquadrilaterk,lt;fiprittereadttodecim, angulis quaternis,it app con-tingentium quomedocung^funtociodeedm.nbsp;nbsp;nbsp;nbsp;^
Hac igitur ilia figurageometrica eft, regular is quamproxime, impletrix loci folidi, vt f 'cxangulum quadrangulum triangulnmnbsp;conjumrnatores lociplani: hacinquamesf, qua vlpes effingunt injsdsnbsp;aluearibus. Ntjihoc tantum dempte,quodalueoHcarent teBis carinanbsp;Jimiltbus,
Si enim etiam hxc adderent, efi qualihit apis intra alias duode-ctmjeu oBedecim abderetur-, non pat eret ipft exit us, coclujii. circum-tirca.ltag^ cum teBis non indiguerint, nihil objlstit quo minus I at e-ttafenapro modulo corpufculipuiproducerentvltra modulumRhom-berum in carinis, officer entque ea illerum attrinjécus dijfimilia.
‘Qiix fit fi-. nbsp;nbsp;nbsp;grmdms altquodmaltérn Granatumspertdt, nttde^
* maH Puni^ nbsp;nbsp;nbsp;u 'wos pkro/q, in candem figursrn exprejjos, nifi quantum im-
«i. nbsp;nbsp;nbsp;pedttferies radkum,per quas aliment um tillsfuum Jiippedif atur.
£msritur tam tn hls duobm exemplls, qtils Jit authorJigurs Khombics in alueoio apum inq, gr ank malt punici. CMateria in eau-^s non cB. 7lt;lujj?iam enim inueniunt ^^peshuiuJmodifoheU rhom^nbsp;bics, inprsparato, qua colhgant apes atq^ coaptent, ad effigiendasnbsp;Jiias domtmculas. Nequcvertjimile eB, tnfolk malk Puniek jpontenbsp;excrefctreacinos tnan^doS:,cuminommbusaltjs jruShhus rotundinbsp;euadant, qua non impediuntun humorefug^fio lentes cortices ex-plente ép refer ciente, vt turgefcant, ér,qua datur,protuberent.
Eli igitur tn acino quidem punici malt figura. eau fa in animi' plants,quspomi pr ecurat increment um^ Sed non esihac adamp;quatunbsp;jlgura cau(a,ne^emmhocpraJlatJruPiuiexformaUpreprietate ,fcdnbsp;admuatur necefitate materiali.. Ifam cum mint inter initia durrtnbsp;parutfunt, rotundifint ,quandiufpaciumipjisintra corticemfuffi^nbsp;__ fit, t andemindurejetnte cortice, crefcentibus ver o continue aank,nbsp;•f' vSnbsp;nbsp;nbsp;nbsp;fiteorunt conpttpatio drcemfyeji,ti,vtérpifi)rtlt;intra fuos oblongOt
frui;a..:u . caljccs. Scdptfi non habentquorfum cedant: óblongisenimfiUquls ex or dineJunt infertaicomprimuntur igitur a duobus tantum late-rtbus.K^cini ver o rotundi tn Malk Punick Jiberimjpsemm aprin-C‘pio naclt,factiefjèfingult tntra ternesordine aduerfbprotuberart-tes irfnuant ,rotunditatepia adiuti,humor emf^ inde vnde vrgen-4ur, declinantes infiacia vacua, ^uodjiquk aliquam vimglohu -lorumrotundonm, interffefètequalium ex materia molliconjiarhnbsp;i.tiurn,concludat inretundo vaje tlludq^ circuits strek incipiat coar^nbsp;Bare 'vndiquesaplagk omnibus: 'Globuli plurimi exprimentur irtnbsp;fchema Phomhicum: prsjerttmfprius illosglobulesfuccufiione'Vd-(is diligenti, locum singufliorem libero retatu cap ere permiferts-7{am direBa globular um dijpofitione, qua turbari nonpoft, corn^nbsp;prcfjïonefaBactthos ettamefiicieSt
in vnmerfum emmduobttsmodk interfiordïnantur glohuli*‘ quales in vaje aliquo celkBt ,pro duobus modk ordmationkeortitvnbsp;¦m diquaplanitte.
-ocr page 9-fternntes 'm eodemfUno hori^nt/iU^hhuïoSit^udescoe» gerts m tingujlum yVi fe mutuo contmgant'yaut lt;trianguUrt formxnbsp;coeuntyittt quadranguluri; ibiJèx njnumcircumflant:, hic c^uatuor:nbsp;'vtrmqne eadem eHratiotmtaëiusfer omnesgiobuloSy deniptueXmnbsp;tremis. ^^mnquanguli forma neqmt retineri xqudttas,/èxmgu~nbsp;lum rtfiluiturin trungulA. 'vt it a dtdi due ordwesjhlijinty
'lamfladJiruB'iramjoltdorim qmmpotejlferi arVUJJïmamprD~ gredtaris, ordims^ ordwibmfiipcrponas, in plano pritts coaptatos^
aut f erunt quadrati a aut trigonici: Bf qttadrati, aut finguligiobi ordin'isnbsp;(upcrioris (ingultsfaporfidbunt or dunbsp;nis infer tor is aut contra finguli or dunbsp;nis fuptriorii fedebunt inter quater-nos ordinis inferiorü. Priori modenbsp;tangrtur qttthhet globus ia quatuornbsp;circtunflantibus in todem plano, abnbsp;’Vnofuprafe,é'^b vnoinjrafe; ^ ficm vnimrfimajèxalqs, erit^nbsp;ordocuhicus, ^comfrtjJïonefaUafentcubiiJednonerit ardijjimanbsp;cno^tat’o. P'dfi’'hri7nodopri(te.''onamqmdqHÜibetglvbusaqua-•fuor circumfantibus in eodemplano tangitur, et tam a quatuor infianbsp;aqii^fiiorjupraJe - ^fctnnjniutrfum k duodecim tangetur-,nbsp;fentq^ comprcjfione exgtobofs Rhornhica. Or do bic magis aJJïmiU-bttur ociacdro ét Pyramidi, Coaptatiofetardijfima: vtnulloprsc^nbsp;*trea ordinepluresglobtdiinidem vas compingi queant. Rurfumfnbsp;^^dinesrnplano Jlrudi fuerint trigonichiuncin coaptatione foLidanbsp;^ut finguligiobi or dintsfuperior'tsfuperflantfngul'is inferior is, coa-ft at tone rurjiim Uxa, aut fngulifuptrior'ts,Jèdent inter ter nos infe^nbsp;is,Priori modo tangttur quilibetglobus aféx circumflantibus innbsp;*odem plano,ab vno fitpranbsp;nbsp;nbsp;nbsp;ab tvno injrafè,étfo in unmerjum ab
^doalqsy OrdoafmilabiturPrtJmati, ét coprejfone faPlafentpro ^lobuliscoltmnajènumlaterttmquadrdgulorum, duarumf^ bafumnbsp;angularum.PoJkrtori modofict ide,qucdprimpojlertort modo in
g mdriUterls^Bjlo tnim b copula, triumgloborufn. Bijuptypotitk numpro Aptce^tjlu alta copaUprm globorumnbsp;nbsp;nbsp;nbsp;du demu D.ét
rajiii acinij mali Paninbsp;Ci.
aliiquindenum^ Imponc f.mp(r mgujll' orem Utiort, I't fiat fipura PyramidiS’nbsp;Etfi igitnr per hunc ïmpojïtionem fingulhnbsp;f pen or esfedenmt inter trims inferior ei:nbsp;S turnen urn verfifgura, vt non apex fednbsp;integrum latw pymmidis fit loco fiipe-r:ori, quoties 'vnumglebulum deglubemnbsp;€ Jammis, infia, fiabunt quatuor ordifitnbsp;quudruto^ Et rurjkm tangetur 'vnmglo'nbsp;D- i bm vt prms, a duodccimdtjs, afix nettt'nbsp;pecircumfiantibits in eadem plano tribuinbsp;fitprn ^tribus injra.. Jta w fohda. coaptS'nbsp;tione ardiifitma nonpot est effiordo tnart'nbsp;gularis fine quadranguUri y uec vicifiitu.nbsp;Pat et igitur, acinos Punici malt, materfsHnbsp;necefittate concurrente cum rationtbtu incremetiacinorttm, exprifutnbsp;Canfafigi^ infigtiYam Rhohicicorporis cum noninfifid frontibuapertinacitetnbsp;nitanturrotundiexaduerroaciniifedcedaMt expufi, in J.tciu intefnbsp;ternos vel quaterms oppofitosinteriedia.
Vnde (!o-Htuncu is
In fucartbus vere Apumratio eHalia. Non n. congtobanfur apd eonfufe, vt acini inmalofid arhitrariamftruuiat adem, ornnescipPquot;nbsp;tibmprominentesinvnam veladuerfiamplagam-, ornnesaluortitUnbsp;extremis inuicem obmtentes. .^jjdfi ex coglobatione huiujmodt eU'nbsp;ificrctjigura hizc, oporteret dueos apibtos Juperindui ex confiJlcnH*nbsp;fa^Rau a^ e::efudatilentorkyVt eethuiscotortisfolentfiiper crefiere domüettl^'nbsp;Caidf figu i-.^t certumeïi,apesipjasfiios fibifingeredueos, totamfafundi'^nbsp;le in alueo- mcntk cor/tiqnationem extruere.
rus.
’ ^^gtire tpja Apis Natura himc inflmBum hahet expropnetAte fiua, vt haepoitfimum^guraxdtficet-. fnc tlli Archetypiss a creatott
iniprcJfusesi-.nthilhicmaterianequecerA, neque corpujeuli rnhdincrerr.enta pofunt.
doe anmaduerjóqumtur urn porro épdefinernoquentAp'u
-ocr page 11-ir
S E X A N G V L A. tonfe^etur dijcurfit pfo,(td cjuem Bern ipfej Apkul* creditorprop cfinbsp;turn hdbuit, cumillihas Ar chit ePiurlt;xjHlt;x legespy'iiij':*i‘gt;pjf-'f’
hicumdemam rur/urtj ingreditur finis deftinationCiCorifi-derAtio ccrporum mAteriA^, Tru enim de hecfinedtcipopfknt. Pri. mum vuigare eïi ApudPhypcos, qui Adfotam quiden fexAngtiUretnnbsp;filrudiuram reptciunt, 'vtHIatmn hiAtihusextrinjexm fe(èreproefen^nbsp;tat. Cum enim locum planum implcAnt exclufo 'vacuo yt.intumhefi»nbsp;gurA,tridgidttm^quAdragulum,/exdgulum:exqsf£XAgulucapactfit.nbsp;maefifigura.CapAcitAtemautemfibiparantap:sadmelPt:oftdendA. figura^a-
Pcteftj^ ampliari ha: ratio et tam adjohdi conjiderationefin hum ' medum\ qnod cumfolidumjpacium non dmidaturjimhi xtu, nifiinnbsp;cubos crPhombica: Pühombtca funt euhiscapaciora. Sednon juificitnbsp;'hac ratio: nam ficapacitatem quarunt, cur non qudibetfibi rotun-dumfingtt nidum, quid opus esï minutias loei confeldari, quap nullum in toto alueari refiet Jpacium ? Probahilior ejjet hac altera caufitnbsp;quduis nee illa(ufficienSiob rationes dicias, quodmollia Apicularumnbsp;, corpupula commodtus locanturin nidojigurxplunum efiobtujbrumnbsp;Angtdortt, quaj^ cognatior esi(pharicn,qudm cubo, quipaucos ^ logenbsp;procurreteshabetanguloSjfmdüplanufix corporeteretiabhorretem.nbsp;nbsp;nbsp;nbsp;.
Igiturtertiam caujkm neccjfe t!i addere nbsp;nbsp;nbsp;minuitur ipfis labor
/èmperdusttomunemPruantparietem ^quodtnrediitudinecoitjja- Riiombicae ' tionum maior firmitudo, adcratem integramfujlinendam,quamfinbsp;fingfilx domunculxteretes idecq, comprèjfitfacilrsfuijjent: Deniquenbsp;Pgurx rotunda hiant cum maxime coniuntla junt: I^lt;ta^pigusfepernbsp;hiatus inpnnaret. ^uibus omnibiisprouideturiquodconfortiatedianbsp;Vrek habent.vt Virudius canit.
dine velnohdiiatefigurxRhom bkx ineqjktage ‘.am:vtejfintiaani-tnulx qtix ejl ki Ape,ex costtephtione figura,qudfahricatHr,eliciatur: quale quidnohi^fugt;fifietinceptddum,fivf:isJigm,inullus appdruijfet^nbsp;Idem de mulo Punico int dl gen dn. /p t)arct necsfiitas,nat erialk,nbsp;qttx atincspcrdacif ad. Rhohicum,Ju.ccede'/itsh.imi ementk- ftag^, va -'nam eïl de ejfintia .dufinx in hac H,'rLorecogitare,qa£Rhomhicum po-^Jfimurei t^dai.nbsp;nbsp;nbsp;nbsp;d 2 Con-
-ocr page 12-Eariln to- nbsp;nbsp;nbsp;Cof)tr/iJt^uAYAt;(r,mromnesadeo arbonf ^frutkes, {autcerti
tiis florum. pterx^ fleramp;tt expltcentfor mu quinqurngukri,numerofcfoliormu quinario, quern jlorem: inpomis ^pyrkfequitur Ji'uciiudiJpoJitio,nbsp;tneodern 'uelcognato numero r q^dnario njeldeniirio: quintintm lo ¦nbsp;ctilicontinendis(émimbtts,deneifilsimentet: quod ^obtinetin cucu-meribus ^ id genus xlijs: htcinquam locum habetfpecuktiopuchri-tudinis autproprietatisjiggira, qu£ animam harumplmtarum cha ¦nbsp;raclerifauit.Et detcgam obiter cogitationesmeas fuper hac re.
Corpora j^j^gcorporaregul'aria^ dodecaedron ^ Icofaedron, quorum qm n ad onbsp;nbsp;nbsp;nbsp;quinquanguUsfiguratur exprejse, hoc mangullsquidem rfed m
vtentia cr quinquanguUformamcoaptatls.Vtriufq^horumcorporum,ipjiusjj ^^T'cae* udcoQuinquanguUJlruSluraperfici nonpoteJifineproportioneilk^nbsp;di°uinL* quamhodiermGeemetreamp;Diutnam appellant.. EliautemJiccompA'nbsp;ra(a,'vtduominorcsproportionis continu» termini iunlli conjlitu-ant tcrtium\femper^ additi duoproximi, conjlituant immedtateje-quentem.^eademfemper durante proportioned in infinitum vfque..nbsp;Jnnumeris exemplum perfectum dare eflimpojjibile. Quo lonfiufnbsp;tamenprogredimur abvnitatejjocfit exemplumperfeltim. Sint mi-nimit.^i.quos tmagrnaberisinxquitles. Addcfientz. cuiadde maio~nbsp;tern I font 3 cui adde 2 fient s. cui adde 3fient 8, cui adde j Jient J3,nbsp;cmadde^fient21.Sempereninivtstid2ficSad 13 fiere, érvtiad-ilficiiadz.fere'.
tffiliiirnejfefacultatemfiminariam '. itnq^infloreprfierturfèminttquot;^ rU fdcultatis yn^poy vexillkm Quinquangulum. eJMitto cnUtrinbsp;quamp; ad humrei cmfirmationem iueundifiima contemplationepof'nbsp;fent a,ddmi. Sedpropriusillis debetur locus. Tpunc hac exempli tantum caufapr»mifimtis\ vt in rimandafigitra 2(misfixangulafi-mus inllrucliores exercitattores^..
AnfrigiK nbsp;nbsp;nbsp;enimpropofujjfimusinquirere ori'ginemfigurahuiusiorn-
$a niue*
caufa liga- tie inter caufosextrinjécos ér intrinficas: inter ext er nas primumfe-«eftJiat* feofferebatfiigus. Condenfatiojaneeliafrigoreipercondenfationem *quot;'vcro'vaporcoitinfiguramfiella’.videbaturigiturfiigftsiUifiguram
prajlarefiell^, TfUtcittimeH'adcofidèratiöitealiam, anfrigusfitN^'
S E X A N G V L A.
turnqu£dam'vt Afedicoru Calor? VidebAtur.n.eJf: merdpriuitïoy. euine^ mh,fexd.gHlif!ibrtctttrix,nec6mnino operatio quot;j-dLi propria..
auf;
Sednemifceamus (pmjliones, maneatfiigori condtnfmo:pot uit condenfatio fieri, vt videtur, inform Am globofam reElim. lm ofinbsp;emfideretur jrtgm late fujum, (fi vapor illtfuptrf cictenm occur-rens, magis eli cenfentaneum, vt condenfatiofiat infor mam omnin onbsp;planam yfiperficieifimilem, (fi earn qutrumeun^ ter minor um Vtnbsp;fitota vaperkextimafuperfciesex fiigore denfitatem, tx denfitatenbsp;pondm, exponderecajum, ex cafu comminutionem in frufuUfi*nbsp;bracieofnancifieretur; vti^ nonomnesbraEfetty quin imopauc-fp'^nbsp;mxyAc nefcioan vlU euadsntJèxangula,priefertimradfisadeocon-cinneftriatis.
K.^dmonehant iji£ Jiria rei illitu qua contïngit in Hypocaujlls VApidisybrumali rtgorepertufasfeneftrasohjidente, Lucfanturcir- pruinoSsnbsp;caillosangufiasfrigidusaer (fi vapor.^mtiesenim(èfimutuocon ¦nbsp;nbsp;nbsp;nbsp;si
tl as.
tinguntycalorfiperiorapetit firiguainferiora. Esi enimincalidb di latattomateri£,tnjrigido denfit as fipondiasy pellitfi^calidafinr/um.nbsp;Vaporeigitur confertim exirenitente ,fitfuga vacui, vtfifrigidttsnbsp;aerconfertim irrumpat, vnde Cimbi patent is fenefira vel rimuUnbsp;fiigidifiimiefficiuntur. K^d eos limbos quicquid appellit vapor is,nbsp;continuo gelatur,fiucceditj^ in tllam materiamfrigus aquè magnumynbsp;vt quicquid porro vapor is ad hanc appellit pruinam y fiipjumnbsp;geletur ,appofitione continua, intercedente tarnen, fefique intror-fuminfinuante reBis lineisaere frigiamp;e: qua alternattone ingreffilaynbsp;fi egrcfifitsfillapruinofii vaporis eonfifientia, firiasfortiuntur fi a^nbsp;cutos radios.
Tpthiladhocinfiardefigurattone niunlk nofira diet pot eH'. Nam-quïnam hicingrejfits,quiexitusyqua angufiiaqua lucia inpatentiffi-mis aer 'ts campu? ConeeJJero intercadendum ex alto per vapidum aerem fieri aliquam ad villosappofittonemdeontigentihus vapori-rnbsp;bus. At quartfix lock, quodnamfinarfiprincipium ? qukcapitelUmnbsp;ante quam caderet infix effigiauit co rnuafr’gida ?nbsp;nbsp;nbsp;nbsp;caufiifiatu^
ens in ilia fuperficie iam Urti condenfandajex punEia, ad quaficni fircumradtj conneEtantwr^
H nbsp;nbsp;nbsp;DE NIVE
€/m haque eau fa externafrigua, ha.c effictrt nequeat: mternam aliquam ejjèmccfe eH, vaporijque 'velcomitem velal'io ^uocumquenbsp;medo propriam ?
iSit }}£€perpmdentem Jubpt admirat 'to, cur rady nonpotim in cmnem ambitum jpharicum diJJgt;onantur ? Cur Jiintervm calor tBnbsp;huim ret author, in plana tantummodofuperjicie opcrattir: qui vn-diquaque aqualiterje habet ,non veroinJoU planaJuperfcic vapornbsp;risimB?
Tgt;um tn his ItiUor meditationibui, dum ratio poBulat radios in omnem ambitum dijlrihutos, incidtt quodaliasfape cum admira-^nbsp;jnbsp;nbsp;nbsp;nbsp;tione fj- eBaui,ft ellulas huiuftnodi non primoftattm cajm moment o
I nbsp;nbsp;nbsp;ftcrnijuperplanitiemftedparticulis nonnullisfublimes teneri,deni^
aiQ.
temporis mor a fubftderemplanieiem. Ex tlla ratio cinatiene t'eluti I Kihili opi- patre, amp; exhac experientia velutimatre, nat a eB mihi opinio ifta:
ftdlulas iftns inter cadendumtrinisconftarevillofis diametris, de-cujfatim ad vnum punBttm coaptatis , fix extremitatibus in gr-bem aqualiter diftrihutls} itavt tribiss tantum villofis radfiinci-dant,reliquistrink, (qui funtincidëtiuoppofttiinijfdem reBisdia-rnetrisj) infuhlmift ent, donee flexhi/s, quibus ftellula fuftineba-^ tur, reliqtti haBenmfihlmes, tn eandemplaniciem eumprioribus,nbsp;intermedfilocis defluant.
Htiim opiniofits 'vimprofiquarper totum ,poBea demtim an nier a ftt examinabo: ne fortajfis importuna •vanitatk detcBio menbsp;prohibeat .qucdinJlitutiOjerbadere Nthilifacere.
Hocigitur in cauftapofitum e[le,quacunquecaufafit hor umfixra-diorum, earn 'vndtque aqualit erfufam ejfi inomnesplagas: 'vtfifti-gtts est caufafienum radiorumfiigm igiturftngulas vapor is port an-culas circumjiare aqualiter ,attt aqualibm eer te mteruallii vndique: Sm calsr int er mts, amp; hme in omnesfthara.plagas ex vno, amp; eodemnbsp;centre otgt;erari.
j.
t^tfic nmdum difitijfafidtranftata eB quxftio. Tpam nondum pat et,quart non quinque velftptem,fid omninofix villofi ramp;dqcoa-ftentur ex eodem emtro ?
amp;
-ocr page 15-S E X A N G V L A. nbsp;nbsp;nbsp;15
Et jt qUitras i Gtorn:tris, qufi ncim in figura frcsBiametri fèfi orthogonxiiterfm informAcrucis duplkis, tneodemcentrapcent:nbsp;is rcjp^mdehit, tn oamp;aedro, tonnexis angulis appofills. Ociaedrannbsp;enim nabel fexxngulos.nbsp;nbsp;nbsp;nbsp;igitur ft, vt nix tri ter cxdenclurn,
pnufquam complanetur, tribus vtllofis diametrk Jt inuicen-' enho-gonaliter Jecanltbminnitctiir ipfumn c-mKilo- Odlxedrt: 11 f n-dtorum extrernatkinareclis duodenls connedlas, tntigrurn aciao-dri corpus reprJeKlafts ?
^g{£ cattjx tgitur, qtiod in hos tres ‘villofos radiospoliusjït condcnfatioquaminglobumintegrum?
Pojjttm qutdem du ere n.odum 'vnum quoijlafixnt materuU ne-cefftate Jedis affkmttaliquïd, qiiodrurjiimpiushabetadmiratio-nis,dttttmhocipfumqiiedtameratdemonftrandum. Dkamtarnen, Jiforte ex cornparattone multorum falforurn eliciatur 'vcritas.nbsp;hflö vt 'vapor, juanda primum fhgus irruensfentifiit, coaguleturnbsp;in fhcerulns cert£ quantitatls. Hoe est confentamum. Igjm vt innbsp;aqm, Gutta minimu naturale est deflxido ,propterea, quo cl a quafuonbsp;ponder e non diffluit amplms ,quando esi infra guttaquantitaterninbsp;Jl. etiam factie comedipoteji, inejfe in vapor'is matena tenacitaternnbsp;aliquam, quapojjit reftferefrigori, in eert a aliqua quantitate, put anbsp;gutta vaptda.
Secundo ejlo vtha fpitaritvapida. feinuicemcontmgantin cérta dtjpoftione : put a quadrangulari in plano, cubiea infltdo ,quadenbsp;Pj fipra: Sic enim tangetur Spharula quslibet ah alffs/èx,nbsp;quarumSoU quatuor hk in plano depingipojjltnt quin-pta fp^f.xta intelligeda eHfiiperponi (J fupponi. Hls ittnbsp;poft IS ^ affimptis,fitgore verb perfpacia trrueteifphce-ruUacontailu vnoadoppcftumeruntmunitsi contranbsp;frigus ; itaque verfies centra qmdern fpharularum fet condenfa-tio,fic tarnen, vt etiam ver fits dixmetros contaHuum, quibttsfcili-tet lock tutafunt a frigore.
Veru rn non immer it o, vt pradixi, qiurat aliquk , qua vijie dif ponanturffharula m dtrecium ?
Si
nS nbsp;nbsp;nbsp;D E N I V E
Simiterhliter fieri aliterKopoJpttam peracfum ejjèt Kegecium^ jitpojfunt mAteriaLttcr duobusjilijs mndü diffoni, njt fitpra dtBum^nbsp;Acpramp;terea, poJfUnt omntstns or dines ordmuti confundi/vtjiat d^~nbsp;pojitio ruaria.
hmc adjcijcemus dijpofittonis hums c/infkm,auod in hacfoU diJpofttioeH jihiipfivndt^ fimlts, ff pundtacontafluum dtjlribu-.unturAo^ualiterjneéitertSf/eqHaquani. Etfienimvtfupreididlum,nbsp;glohiJinguU k duodenis alüs tanguntm ,/it fpacia interglobosdternisnbsp;trieinguU ^ quadrangulajunt: hic onmia %!ndi^ quadrangula.llhcnbsp;diametri quidam duo oppojitorum contaStuumJefeJecantorihogo-naUter,reltqua qmtuor non ttem: hic omnes tres diametnjèfefecantnbsp;etquaUter dj' onhogonditer lllicconnexis extremis dUmetrorumfitnbsp;eubeHoedron^hiCiOciaedron intrafph^eruUm qmmiibet.
'Brdjliintuqutdem hincpxtetdifpofittonis direamp;ei pramp;ébliqm:eit caufi nondum comparet, quxffhxrtisheicpotimqmmilla.rationenbsp;dtjpenat, Numfacithocjrtgm? Atquomodo?
2ijtnJiquidagit condenjd autpenetrat materiam qua hiatiüa, mt qua debihterrefiJitt,Etvtlargm firn dtredlaquidem inprofun-dum dtjpojitionem caufari pfjTtt dejcenfit reJiUineo, verftts terramxnbsp;,4/ in tranfuerfum^ndehxc direSlio.?
RefiAt igitur, vt caler intcrnm vapor is hancguttarum difpofitio^ mm cubicam effrdat :fi mode eH cubicaipforuni difpojitio, hoe eU ,Jinbsp;Nihtlmfirumed Aliquid.
Hue autemdeuolutare, iamperindeefl ,fiue calor quamlibetgut-tamJètpfo in fbrmam OHaedridijpondt :fiuetotammatedaminJe-
riemfiellarumorSnatam difpefcut, atq^itafmguUrum Jphararum int er nam dijpofitionem per externam vniverfarum Jeriem adiu-uat. Neutrobig, cajii or do exifierepoteUtamcoriJlanter,vbi eonfujio,nbsp;vthiequidemjnproeliuieH.
Sed^E urgumentafunt, vtpotiui tredammfingutas guttas fjine epe externi contadufféipfis dijpmi. Etemm,Jifigura fingularum o ¦nbsp;nrjetur.abordtneé’ contaPiu mutuoplurtum:,neceJfeforet,omnesnbsp;in'vieemxqualesejfejiellulds. lam ver o magnum inter eas cernitufnbsp;difertmen magnituénis.Ipfa quin etkm muit arum ordmatio, muUnbsp;iurnhabetinjolentia.nbsp;nbsp;nbsp;nbsp;* Tiihii
-ocr page 17-' 17
SEXAN GVLA.
profecmm, ntjipaté Ai mcduA,c^ uo calor iiitermu gut- ® nbsp;nbsp;nbsp;'¦|1
tam 'vapidam in tribttsdiamttre£,formaodiaedrica “vel eet te(exan aum.rie j;
eU. Non enim perpetuo trina ,ncninpur:clis medtfs, non adz^num fun^um coricurrerent. Ad de quod 'vtHi om nes a centrofujiel!^, Jeunbsp;nbsp;nbsp;nbsp;“
decuJfationisgeminAauerfi extrerfamporriguntur pene vtfoliola in ram IS ahiegnis: quod argument o efi, in tenironidulari vimformanbsp;trictm, indc^^ in omnesplagas aqualiterfeje didere.
:SedfortdJJïsJ]iamp;c caufi iB trium diametrerum, quodtotidemfunt diametripiagarum in antmalihus? Habent enim Juperas Jnferas,nbsp;anterioreSjpoJieriores idexteras,(itdjlrets partes ? Stquis hoe dixertt,nbsp;mea ts opimoni appropinquabit, fèdprater opinionem inparadoxanbsp;pertrahetur coneejfonefua, Primum enim confideret quanaturafitnbsp;huius calcris, qua fimilitudinem animalis archttedietnr in Jlellulanbsp;muls. Deinde videat, eui hono? ^uidenim animali commune mmnbsp;Ntae? Tpixadvitam,qHacar£tiplagdtjlts opmnonhabet. Tertio OccafioCe.nbsp;perpendat, ipj’as animalis partes, non tam adjiguras geometrie as,nbsp;nbsp;nbsp;nbsp;ï
cubumque, prim am folidanmiJigurarttin, velut ad C/drehetypum hus. nbsp;nbsp;nbsp;'
fuum aeeommodataa :quam neceffitate quadam adfinern obltricn. nbsp;nbsp;nbsp;1-
dum direBas.Prima enimfitpen d;‘tnferidifiinciioesialoco,qua€Si terra fitiperficies:p edes ifitur deorfium vergunt vt contra pondm cor-nbsp;nbsp;nbsp;nbsp;¦
pork nit antur, Caputfiirfiwm esi vt ncruos imhre opport tmo cotinue humeciet, vtq^ eculi ^ aures apUnitie remotijkmiplurimdehts eir-nbsp;nbsp;nbsp;nbsp;;
eumferentiam in conJpeBu babeant, objtacidk remotk, deni^ vt ci- nbsp;nbsp;nbsp;,
busponder€,potmhumorefiuöpracipitattts infiuum locum dejeendat, ne^ cotinua\ut inplantk vno loco fixis)attraclione opus ha beret. Altera antic a fy pojlicddijlinclio tributa eB anhnantibm ad motmnbsp;exercendos, qu i in reBa Cine afiiper terrafitpcrficiem tendit a loco adnbsp;nbsp;nbsp;nbsp;f
locum. ltag^duahadiametrinect(fiarioorthog6n.i.literfemutuofe-cantffignantquefitperjickm. At cumanimalianenpoffintejfiefitper-Jicies,fidneceJfiariocorporaaccipiant:tertia7n diametrmn dextri amp;
C qiiaji
-ocr page 18-ï8 nbsp;nbsp;nbsp;DE N I V E
qmfigemimm-. vt effèt eti-^min mceffk y mouent'is ^ moti difcri-rnen alternis. T^n tgttur, qu^ cuhiafimt, homlnlsgerimtflmiLiUi-dinem propter aliquxmfippiriZpulohritudmem: fedhorno atbi acqiü-Jimt JimïLittidtmm,qtialïcsndnnateiM ex VArijs vfibm ceu Elernen-
ad^”r'^d nbsp;nbsp;nbsp;^ttiquc otnnihm exAmmAtu, qu£. occurrcbmt,fic ego fentio, cah-
Eli igiturfacultasfor matrix in c or pore Tdluris, cuius njehicultnn esi Vapor,vt humana anima,Jpiritus; adeo vt nu Urn vjpiam exijlatnbsp;vapor ,qum vt calore quo da id eJfeBus esi qttod ejjedicitur,puta vapor , eodemf^ calore confiruatur, vt id ejfe per gat: Jic ratione etiam.nbsp;for mat rice, quam alifcalorem Opifcem dicunt, contincatur.
Sed du arum ehkciionumfolutione, quod reliquum esi de opmione • inbsp;nbsp;nbsp;nbsp;mea, declarabo. EtenimobpcerepoJJis-.inplantisfinemfubfequen-
tem,quicH, Confiitutiocertt corporis Naturaiis, arguere, Rationem fermraricem in rdtqua materia grace ffjfes Vbi emm mediaadcer--tsi’iifnemordMiata, ibiordo,ihinulluscafm,ibimeramcf7S . meranbsp;Ratio : In T-piuis ver a formatione finern nullum feclari pojfinbsp;neqtiefcri per figuram fixanguUm, vt 7S(ixperduret, aut corpusnbsp;Tpqturaledèfmturn certn dj dar abdis for rna fiat.Reffondeo, Ratio^nbsp;mm formatnee nontantu igere Pr opt erf. le n fdet propte ” orna'Uinbsp;necfildttendiread corpora naturaliacfficienda fedetfolercludere.^nbsp;in fjixis , quod muUls fbjfüum exempUs patet. £gt;uorttrn egonbsp;vniucrjorum rationem a ludicro ( dmn dicimiss Tpaturarn ludere)nbsp;ad hancfriani intentionem transfer o: qtiodputo, Calorem, qui ha-cienus tutabatur tdi-Uteriam ; vki a circumjlanti figore_} vinci-tur: vt hacienus orainc^ agebat (rationes quippe formatrice^anbsp;imhutus') ordinepugnabat ,fic iam Jko quodam ordinzjgt; amp; fuga
M
-ocr page 19-:jrJèco'^npiirare,feclemj^rcftrre:i^diutimh£rcre igt;9fpnrfis id'.só' ^ p ^ crdindtim ‘veluti per Cyïctem dijinhutk ramis, qiiam tn tot a re- „a^nbsp;liqim m ttcrur-,-%tcpjic cur c h.there, ’vt {quo 1 de Olympiade rcferunt kt- fep u! u inbsp;fiortA) /‘lonifihoruft(n(cinuereamdecadat.nbsp;nbsp;nbsp;nbsp;c^iiili, ni
j / nbsp;nbsp;nbsp;iTjOlsrccu
Aliutuliqtiis obiiciat, plAntisfinguüsJingulasefjefxcultcitesuni- hic apud maks, cum feorjim ctiarn JahJtJlant corporum plant arumnbsp;propterecin^ntl/ffe nnnrtn,fingulisetiamfmgulasaptaripguras. In.nbsp;nivis v'j'oqualibet(lellitlapectdiaremfingereanirnam,perejficrtdi-ctdum quaremquiditn fiqtirasmvls codem tnodo ex Anirndopcre,
/ nbsp;nbsp;nbsp;•nbsp;nbsp;nbsp;nbsp;7 /nbsp;nbsp;nbsp;nbsp;1' ^nbsp;nbsp;nbsp;nbsp;H».£unde
rvttnplaittis dcducendas, nbsp;nbsp;nbsp;accouim
virgiil
Rtfiondeojrem'vtrmy,firndioremeffe,quant,quikdcohucit, ere- dat Plini derepojfit. Hem its,planti,sfmgrdkfingidas cjfifacidtatesiat ed omnesnbsp;fokotesfunt vnhis c!r eiaedem faeultatis vnüierfalis, qud in terra in- „i cuida
qua
esi‘. qudcj,fihahetddplantds-,vtfacuitasaqtidadpiJces,facidtashu-y'i^Ai mant corporis adp ediculoSjCardniadptdiccs,ovilliadaUudgenmpe~ nas^viuaralnbsp;diculorum. Non enim omnespUntd exfiernine,pUra^ lra.vTsiA.clTis defodic.nbsp;primumertd,et(ififeporrojirninent, Facultasenimterrd,qudjèipja,nbsp;vna efi amp; eadem,dtutdttJefe in corpora (fi cum corponhus,inq^ ea in-olcfcit (fipro cuius^ materid cendttione interna externisve aliudat-fialmdarchttchdaturAtain'viporequoQ^, quemtotumtotapojfide-rat Anima,nihil mirumfifrigorediuifionem totim continm molten-te,ohcentraNionempartium, circapartesipja, vtcircajingulatotctnbsp;fiormandooccupetur,
O vere mortuam vit am fine philofiophia, Hanc tnim in Niueformat ricem facultatem fifemijfiet illa Acfopicd fahelld adultera,per-fuadcre mant o potuijfitfi ex niue concepififi ,fiurioq^,fiiQ non tam fa-edefmjfiet or bat a, callidttate mariti.
Dixi de authorefigurd: re fiat vt inquiramm defigura ipfit,fiue iüi extflat ex decujjatione trium diametrorum, quod hallenm eHnbsp;inter fuppofiita: fiue inde ah origine fit fiexangtda, de quo pofiea.
Nunc pergendum in tramite caepto. . Cauda igitur cur hdc fa-culta-s Odlaedri difiofitionem angulorum potim imitetur, hdc efi fiepojfit.Primüvniuerfiumgenusanimerum Geometricis ^reguUri-hm fiue CofimopKtticisfigurk cognatuefiiquodmultis documetkpro-
C 2 hart
-ocr page 20-20 nbsp;nbsp;nbsp;D E N I V El
haripoteli, Cmn enim K^nimï (int qtudAm exempJa.rU Dei Crcx^ iork, cert'è inDet Crea.tsrkmsnt:econfilIitDeocoAter?itiJig:ir,iriimnbsp;h.irum 'verita.s, '~.^,y.ipltus eum cegt;:tifjimumpt, ip/os etiurn animosnbsp;pcnïtiJJhnA fü epcntia recipcre quantitates ,Jtnematcria Pbyfica, annbsp;cum ea , non dijputo: confentanÉum eB ,figiiratas potius reciperenbsp;quantitates ,quam rudes: fifigurat as ,quarefiguras regular es Pfili-das, quia animi fünt nsn fuperpcierum Jsd corporum folidorum,nbsp;ÏReditut ad DBauteminterregularesfoUdasprimayCuhus,prtmogemta,parensnbsp;k^optnionem catcranirn. Diits ajeri)faminaquafiquadameBOcdaedron,habensnbsp;totanqidös, quot cubmplana, eorumqtie centra , quibns fmgtdknbsp;jïnguUreJpondent ex Ociasdro '^ngtiït^
rortiumulaitaque materia uapt da defèrenda, pfigtiram debet recipere, quod tam fecimusconfentaneum ,primum cubum arripict,nbsp;eiufque foctum Odiaedron ^mrfmnfup'^apiam materidisalkde-bat neccPitas, globorum aqualium in 'vnum acerimrn confuforum.nbsp;Confundebantur enim adumbrabantur in punBls contaciuumnbsp;rudimenta cubi OÜaedrique. K^t cur Ociaedri pguram potimnbsp;quam Cubi ? ^^n quia Cubm eB figura diUtationu, Otlaedrannbsp;colleBionis ?. lam ver o ér materia ér vis cdsrific.t collguntur irnpe-tita hofiiliter afiigore. Vnde ver o eer turn ft, dkm ef/è diktationisnbsp;Jiguram, hanc colleclionts r 7S{enjpe quia oclo anguit, quibm dianbsp;forisdiditur, ijdtm inhac intm centrum circtmfiftunteodemnu-mero. Etenim fi ctibo adimm angulos fuos ocionos refeclos latcri-bm nqualibm, introrpimque componas pkne confitues Oclaedron..nbsp;Et Cuhus in pluresnbsp;nbsp;nbsp;nbsp;; in och angulos dijfundttur, Oclaedron in:
paucioreSfput.ipx:.
’^iuntgemmari, 7{aturalia inL^damantibmintteniri OBa-edra,perfeBifimn ér Itmatpimnformx.^ ldf eB, multum nos con-prmat. Ipamfacultas animalis, quaein terra indidit '^damanti for mam Oclaedri ,expenitijjïm0finu ftalfatura depromptam,ea-dem cum vapcre progrejfa damp; terra,fgHram eandem indidtt ér Nntinbsp;ex vaporeillo conffenti.
^uanquam, quod deeujjationem trium diametrorum attinet, in ea non magk inesl Oéiaedri quam cubi forma, lllk anguli,
hic.
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ht€centraflitnorum connectimtnr huiufneditrihus diametrlss illic angtili dtametrortim adcentrum ,hk anguluiquicorpus finit expri-mttur.FruJira igitur de totiuijigura eleUion e fitagimm, vbi ejl %!-triufg^ rudtmentumfiltem,.
ver o a hripitrftultus ego,qui dumpene Ttihildsnare ajfc^o^ peneetiam l^htlngo: quia exhoe peneNihtlo pene Mundttm ipjum,nbsp;inqt{oomnia,ejformaui:cumg^ ab mimula minutjimi animalculinbsp;fuprx refagerim,iamter maximi Animalis globi tclliiris,animam innbsp;2{ruls Atomo exhibeo?
Jtaij^ pedem refer am, dAfedulo dabo operarn, vt quod donaui,qudd~ quedtxt,idnihil(it Fietautemid,fquam cito K(umlameaUquefcitynbsp;tam cito ratiuncuUsi(las,ego contrariis ratiunculisprofligauero, at-que annihilaiiero.
Bum enim tjlaftnbo, rnrfum ninxit, confer tins, quam nuper. Cctemplatm firn fdub corpufculaNmis,cadebantigtturomniara-diofa ijedduorumgenerum: qu.edamrnmutavalde, radiisetreum- guraNiuis-circa mftls, ineen o numero, amp;fmpli ctbm ,fne villis, fine fries, e- itellatanbsp;rantj,fuhtilijfmi\ in centro verocciligati adgraniiujctilumglobu-lu.m :atq, hom n er at maxima pars Interfargebantur autemfcimdinbsp;generis rarioresfxangiiU ftelkU eantq-,nulla aliternifplanarnequenbsp;volitabat,neq^ c ad eb at. Villis et tam in eandem planieiem cum cattlenbsp;fiocompofitis. Vergebat am em inferitts deorfiimradioltisfeptimtts,nbsp;quafiradix aliqtia,in quam cadentes incumbebant, eaf fufineban-tur fiihlimes aliquandiii: quodmefepranonfugit ,fdfnifre exce-ptHmeJl,ar. f terni diametri non ejfentin eodemplano. Itaquenottnbsp;minus quodhaFlenm dixi,qiiam quo dedixi, a Nihilo quamproximènbsp;abejl.
Primum genus grumofum, put o effe (x vapore iampene defer to a calore, dFiamiaminguttas aqueas conderfmdo^ Itaf^^rotundanbsp;ftnt, (ffegurampulchram nonforttuntiir, deferta iam ab architect o,
Óquot; radiofafeint vndij^, iisprincipijs,quiz(upra. adcentemplationem fruinofk confiftentix. tn fsnejlris ftnt adhibita,
Infecundoverogenere, quod fejltllularum, locumnullumhahtt ftmtemplttio cubi vel Oliacdri,neg^ vllusguttarum contalius: cum
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plana incidant,no vtfupraJiim opinatiis, dcctiffita trmh di:inietr!S‘ Elfitqjtur Formatrix annna hicquon^ Iock:?s fiium ti!cti;r,man(^^nbsp;^ite in eniiff.deekÜione tarnen figt;iiir£ quajlto eft redjntegrAfida. Pt'i-mum cur pUna?An (^uia non reet', fhpra ademt plan asform itricilutnbsp;iorporum. Nam in omnihia4flor thus ineft c^tiinpH.ingulumpLtnuni',nbsp;non dodecaedrum folidam. Tunc caufipUnajigurt njcrehac effettnbsp;qmdfrigus calidum vaporemin aliqtii planitietaK-git nec it a totutnnbsp;'vaporem aqualiter ctrcumjl.it cumJielluUgigmmtur, vt cumgra-mi cadunt.
Cur figura
Cur autcmfèxanguLi? '-^n quia cx reguhrihus hac prima ejl vt' potiflimum tepUna, qua in nidlum corpus ft cum colligatur? Nam Trigo-iexanuiila. fjffs Tetragonuspentagonm corpora effeiunt. An quiafxangulurrtnbsp;Jlernit pknitiem , exclttfo vacuo ? K^t idem facit tnangu-lum quadrangulum ? An quia proxtma hizc circuloexijsquizpla-nitiem Jlernunt^exclufo vacuo. An hoc dfertminis inter faculta-UmftertliafigHrantem,é‘ alteram tlLm s quafcecundafiguratfVttl'nbsp;la triangula velfexangulafaciat,h£cquinq:iangula ? An deniq^ ipf^nbsp;huiusformatricisNatura in intimojinuJiist ejfentU particeps efif-xanguU?nbsp;nbsp;nbsp;nbsp;-¦
Exqmnq^adduBlscaujtsprimafècunda, ^tertiahocfibivfur-pantfacultatcmfornutrtccm, e re nata corfilium capere, Npro op -portunitatecampi aciem infrruere: vt quiapugna calidt vapor is amp; Jrigidi aeris in planitte exifl:it,non per torpukntiam, ipfi queffigt^''nbsp;ram eligat quaplanitkrum ejlpctius,quarn corperum^ Itaq^nbsp;terialisnecejftatisrationemhaherct mfecunda fy tertia. T^mpri-macaufafeiafexanguliproprietatefetaefi, ref ictens decentem congruent tarn huiusfguraad hanepugnarn, Jnpianopugna,necejfarionbsp;igiturfigura plana, at non neccjfariofigura tails, qua ad nullum corpus faumipfa coeat, fed ideofilurn tails quia vt corp crib us phyftcUnbsp;figurnnjpondent, quajolidumambeunt, JicplaniciehusJigurst quttnbsp;folidum non ambeunt: hie decentiaformallsJpeBatur ,nen neccjjttet!nbsp;materialis.
mum,(^vt commodiu^JiLripofit eolleciio vapor is in niuls con0e-tiam.
In circnlo enim rommosl:(Jïme fier etat qu 'a circeHt vacua ff/icia reUnqiiuntPdeo ciradififNiiior eligiturjigura. Fcrum hinc caujk tamnbsp;fuprafuit oppoftia inactualitasflcÜHitnms, qtiarum aliqua mïnuüpnbsp;Ji'ccxfu-rtt, radt's cttamexi!,;JJjgt;/}}s ^ f mplicibus,fine villis. 0ifldnbsp;eflaygitme;ito,nom.tgrjamaiiqux~m vaporispUniciemfimulcoireinnbsp;niue fedfeorfimpUnitictdas, minimas, dinspvjlalias,etu0nxqua-ks jfon habet ergo locum ccn0eratiocxd,Ujdorsifvuui,qHlt;t regnatnbsp;tantii'fiindimfioneintigra ftiper/iisci inJèxmguLi amp;qudia. Itafietnbsp;vtjècundx (fptertia caufi immer o delcatur, nifi quatenm adpri-ma?n rcdigiPoffunt,vtfsrmatrilsfa:'’ 'lasfexangidumeligat, nullanbsp;mat eriajp u 'orumg^ neajjitate coaclayfed[olum decent ia hac muita~nbsp;ta,quodalinsfexangulimsflruatplaniciern exclufo VACiio,fitjp(exiknbsp;fignrisyqnnidernpojpmt) circulifimillma.nbsp;nbsp;nbsp;nbsp;^
^^.irta qtiidem caafs/ic mtda eonjijhrenequit. Namalbalilia ^,arium* trinisfcnis^^effigiantHrfoUls,é‘Jle'' ilia nonfunt-.eodem modomul- numeruninbsp;tiCalycesflorumferefylneJlruim.Nififortehocdifcri/nmkftt,nbsp;nbsp;nbsp;nbsp;^
jTHcrmJu-bflorc c^utnquangmo emjcttur cc^ncjm vt mpamp;mispyris-que,aHtpulpacetisyVttnrofa, cucumeribm feminibtssintracarnem Confidera-. veipulpamacditis ^_yït fithflorefexangulsndenafcitur, nififlmen^^ Botani-inficco loculo ,eftsi^velut in flo-^cfruclm. Aut eji hoe forte dijcrimentnbsp;quodnullmfösjcxangulxs in arboribtis (^fruticibm fedinherbisnbsp;dr fère btdbaceis.Velconfiler et alixs ipjösfuccosan al’quo d in qs difnbsp;crimen fiecunduen figurasfioriun.
lies mihi nondun: cofnptrta efi, itaque (iifficiat kuiter adptonuijjè ultos de h.ac quart a caufit.
Pro quinta caufitfaciunt opera huim formatricls facultatis alix:, gjfum^cvy* '^t Cryfi:rJii,omnesJixanguU,cumAdamantes Okiaedricifintrarif- ftallifexan-fimi.SedFormatrix tellur 'is ficultas rib vnarn ampkcHtur fjguram^nbsp;gnaratotius Geomeirix, (fi ineaexercit t. Pidi enim Jjrefda in lt;tdenbsp;^egia cuifi ah ulo nomen y exornatum Abacum are argentofè, ex quonbsp;V^afi efflorefcehat dodecaedronauellanaparutamp;magmtudine, dimi-diapurte extans.,Extat ^in defiriptione thermarum Bollenfium T-
faedri.
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féiYs Anterior interfcjfdu^ Itaque verijimile eji hAncfacul-lariisamp;Al- tAttm formAtrkem pro dmerfo humore, dimrjkm Jieri. In vitriols ciimiftis. crebra eJifigurA cuhica Rhombic a . In T^tro[ua eftfigura. Dicant igdnbsp;tur Chymkt,Anin lljuejit Aliquidfalls, él qtt^dnxmfklkgentis, amp;nbsp;quAmiUudAliasinduat fignrAm, EgonAmque,pulfatis Chyr/iiafo^nbsp;rihuSfCum videAm,qiiAntumrcJietdic€ndum,vtcAufarei ha-beAturimalo abs te, Virfolertifiwe, quidnbsp;fentias,Audire,qua?n dijjlrendonbsp;AmplimfatigAri.
Jüiihilfequitur