Geometri^ Pars L Cap. X L 



... - •-* . 



Hickacjue eft Canon illc finuum.qucm Keflertts inpnccpns 

 tabtdarum RuJoIphirntrum f/i/i.S.appellat CanoiKm Logaritli- 

 morum, Mefologarithmoium , & Antilogaritlimoruuf & ua 

 fcre explicac : Logarithmtu cdnniaetus , c]Uo indi<:atur p.o- 

 fortjo.quamhab&t finuscuiufque^rcus circuli aafinuBiliotum, 

 leulcmiaiamerrum:/>.>»ri/ti^/jWf^»>«« veio expnmit prhportio- 

 nem-finusco^npIcmcntKuiufquea^ciisjcjiicmGunteniAnolus 

 "-/«^""/pklK^^fomJj, antilfearitlunidcrumptJmeUcx 

 nouiflima or<riuac!Bne Canonis (giium aGeoi^io - loa.himo 

 Rhetico , Valentino Othonc in 0pcrc Palatin^o , ab Adiiano 

 Romano, Chriftophoro Clauio, iandfpcrgio, !'rifco,al.Uquc 

 vlurpaca ; in qua.vnum in confoa<ilum-vcniuiit,.Arcus quifque 

 & Complementumeius ad qua^iotcp: ilic quij^em^infronce 

 & margine (iniftro.iftud vero iii ^^^ & ninrgrne dcxtro : qua 

 ratione ht, vt jn eadijra lihca tihibcaiJcur iinus Arciis ad (ini- 

 ftrara , & /mus Complcmenci ad dextrain : idquod plurimas 

 haaenus commoditates prxftitic in computationibus Gco- 

 metricis.HxcbrdinatioCanonis facem praetiilit lohanniNc- 

 pero, Baroni Mcrchiftouio,Logarithmorum inucntori,vt vi- 

 derec,tnbus Lagarithraisin quaque Iinea,fcx omnino Canpnis 

 njimerorum viccs obiti pofTc. Poilto enim Logaruhmo arcus 

 ad (inillram,Logatithmo complemcnti c tcgioneaddcvtram, 

 pnraum ndem Logarithmi priuatiuo (igno induti, propottio- 

 nes exprimunt ctiam Secantium.quas habent arcus contrapo- 

 fiti : dcindefljbtraaionefaaaduoru.n Logarithmorum ciuf- 

 4«n linea: . mmoris i maioti, diitercntia com (igno pofltiHo, 

 propottionem exhibet Tangentis arcus flnifln ; cum (ignti 

 P""»"""' Tangentis arcns dcxtri. Hacde c.iusa Ncperus , & 

 poit eum.Vrfinus , huic medio numcro nomcn Differentidu 

 indidcrunt. Mihi voccm ilbm cam kiefologarithmi. vocepcr- 

 murare placuic, vt qu.x- vcl prnnis literis rcm numcitraam- 

 biguit.uem dgniflcarct : Logarichiao vcio.iiui cll in alterutro 

 latere/regionecuiuTquetaicus forupulorum , aiuXogaiithmi 

 nonj^ dedi.quippecontrapodtii: vt Jic Lojarichpiusynufqui- 

 ''J?? .^■■^!." f"'"i<l"?^' ''C '<i<:m «tianV Ant"iloi^ari!hmil!i,arcus 

 («Otrapodri, qni cum illo implet quadranceniTHxc ordrnatio 

 Los^tthmoi-um.Iegitimaelt&naturalis, in libris gcometri- 

 c|»^dJfVorumaathorum;quaai,in iis nequaquam temciandam, 

 ^il^cuin aha pcrmutandarn ttfnfeo.At in his Tabulis aftrono- 

 rttgisrcpn.falcndum fuit facilitati-calculi , pcrfc fatisopcroli, 

 tbtma<}ue.Canoni5 iartitucnda diueifa. 



m 



Migiatiir ad verticem. Et fit tomitrf.»ne ritl^ drca 

 /itbieHam feripherUm, altero termino hi vertice ma*- 



neme : vti z h 



■\TfL' 



Cylindiacenm eft, ciuot! iTi)Ma'pcrin'hcriaa4 

 fublimcm , aqualem ^V patallelam^criplieriaiii s- 

 ^^\^yi^^^"~^\gnnuFitq!-ecemcr^yj9el^ 

 peripheriM tquaUs & £-^itJdiJlafitys:vt h i k.' ' 



'' '•■'1 1,5 



mr M 



O^ 



'Z.S 



C 



A P ViT 



X. 



D e - Sffperjicie gihha . 



V^R: JE C-E P T A. 



■^M ^'^'"^ ^^^^ rupeigcies plana : fcquitnr gibba, 

 Sjt^ quz incEqijaliter iiura fuos terminos imeriacet: 

 TtcJ} a e y. ■ " 



Eiiu doElrina dicitKr Pl.in,mctria gibbornm:/>/^ 

 ■iferhfuperficiesgibbadicuurg^hhmn.jjtieadieaione. 



Gibbum efl: fplisEi-icumjve! vaiiun). 

 Sph.Tricumcftgibbumiquiiiinans ^ct-ntrocom. 

 prchcnfi fpatij.f.i^.a'., \.Eit Mtemcornterftone ferni- 

 p€rlpheri<t,maneme diametro:vtfi jfatium tmerperiphe- 

 riam & diametriim inanecQgites.Euclides d.l.b c d. 



C 



Varium eft gibbum , cuius b.iiis c(l periphcri.-i, 

 latus redla a termino vercicis in terminum bafls 

 tendeiis. ... . , 



Eftquc fnprimis conicum,vel cylindr.icciim.Di- 

 co inpiimiv.rr enimhelici^,itagMi varij fpecies fnm 

 infinita. Sed ab Enclide e.v om-ii mtmera dtta /pe ciesfe- 

 lea^fHm^vidcl.conicum & cj/ltndraceum:yit<]ue h<sdtt£ 

 fpecies om>nbus geometris plactiertint. 

 ^ Conicitm tft^cjgod a,lubica:iperipbcria ffiqualitcr 



R E « V t.A. 



J. Stiperficiesgilfba pendet iieiri:tiio^^%ianffHlo, 

 (jmdrangnlo, &fcUd». 



■ 'rt 

 Exikigitur iudicium petatur de <;ibbo. Hxc enim caufa 

 clt.quodgeometriagibbi fit adeo btcuis apud authoies. 



//. Superficiemgibbam sJhArlcafn s.mulatur fph&roi- 

 des ; Cr conicam, conoidei. 



Spha-r(>idcs eft cuata fcuelliptica: conoidesefl patabolica 

 vcl (lypcrbolica. Sed harum Geomctria rectiiispeciture^ fte- 

 reomecria,vbi(olidicasfpa'roidls & vcriufquc conoidis ex, 

 cucitur. Splm-oides aliis dicitur <r(f«fe4«><iiis. 



1 1 1 Sp&riti natttra difcitnr. ex kis regstlii. 



I . Mxxima infpirico peripheria efi , ,f,u fphirictm bifecai 

 Nimirum maxjma pcriphnia fpharici te pondec diamecro 

 circuh.Qu^ itaquc de diannjrro Hc aliis rcctis in circulo paulo 

 antc (unt tradita, eadcm tcrc huc refcruntur. & quijem circu- 

 lotum (ph.vrx infciipcoiumnomine.qui cumfph.rra in plano 

 conddcratur, lineis ctiam adumbranrur . & tamcn qui ckculi 

 in Iphiraconddcrantur, peiipherix iunt in fphxticu.Sic igi- 

 tur E«f/„/o- i7.;.i j.poltuia: maxlmum fpharr.c circuliimcllg, 

 q'Ji tranlit per ccntrum, id cft , qui fphxrara bifccat. Hxc res 

 elt manifcfta m globo ccclcfti & ccrrcltri , itcmque in A(tto- 

 Jabio quod clegantillimo vocabulo appcllarur Planifphstium. 

 q.d.lpha-ricuminplano adumbratum. i. Pcriphcria propior 

 m.^xims. tnfphirico efi maior rimotiore,^ ■vtrinr^He iqwAifiim. 

 tes amM!ma diufunt tiqnaUs. Vt in globo .-cquacor eft peri- 

 pheria; (luc circulus jma.xiijia : circuh rropici func propiores 



.rquacoriqu.7mpo!aics,&pr6indemalorcs;troFicia;quiaiftant 

 ab xquatore, & fimiliccr polarcs s itaquc tumilll.tum iftifa>it 

 xquales.vtrique i ncer fcfe. 3 Sphirico o' eircuLo /«,, eft an^igia 

 yide intra geodxliamfphxiilci.^. nhemifph^rium cft 4i„i,dui, 

 fphmt : fic hevufph^ricum efi dtmidi/ifupcrjiciq Jthiric» ,fi,t 

 femtc.rcutia fphincM. \'i .ilteta incdietas Zpduci ab Axietc 

 vfqucadlibraracftMiqmifph.Yricum!'-"'" ' ' "^ >■■ . . 



IV. Qjtx de primarum figurarum aliitMdine & reci- 

 procatione diflafHnt^conicis etiamyindiqne cy- 

 ., iindutceisattribui pojfiint. 

 ' • Vid«ipaul<5ant(:M/>.<.rf^.if. 



Si;peificif» 

 gibba vndj 

 pentleat i 



Sopetficifi 



gibb^lph^i 



qus j 1 



Sphiricl 

 nacuia. 



G"omftiii 

 foniciSccy. 

 liiiiJucei. 



C A P V T XI. 



De Corporefiue Solid». 



fR.iCCEPTA. 



?r--.ls /^"^^""^ ^'^ fuperficie:iam dc corpore. Vidimia 

 UfJ) hiiatfciiteemhymetriam Cr pLirufnetnam i» linen 

 '*t'i»eJuperficiebuhiamvidebimiisjhreometri.im. 



Corpus 



