OCR Text |
Show 226 DE LINEIS 110111111113 Ad filmmi ergo iincx l1o1'a1'iz‘c fecitcs in z4.pfi&is {ccabunt pif'etias, in quibus toridcm tangentcs tangenteafdcm. Sic conilar prima Pan noilrrc Propoiirionis.R€liquum iic ofiendetur. Ponitur 11116226 .1 (p.85 Flamin quib.vcrricalis circulus {ccat conos,ea:dé,lupcr quns Circulus lions vnius nnremcridianx , & circulus horse vnius polimer"3E {ecant cofdcm conosz8: fupcr quas circniihomrum I 1x 86 13 ab 01'. vcl 0C. tangfit cofiiéconos.$ic enim arcus parallcli 8 in «L5 verticali abfciius crit duarum liorarumln i1oc cnim cafu lincze diéiarum horarfi I 1.8: 1 3 nunquém coincident perifcrijs hyperbolarum,quanqu&1m vtrinq; in infinitum produéhr 8c zquidiiiabunglinea quidcm horx 11 linen: 110m: vnius antcmcridianx & rcliqm reliqnsc. N51, CCI circulus 1101': I 1.8; circulus hora: vnius antcmcridianx & verticaiis iécér {c inuicé fupcr linenm 9 :1 ¢. planfi autcm hyperbolarfi k x.r 2.3:quidiiler PlJnO LIB‘ER‘SECVNDVSy 227 > circnlis in'nc indc 5. meridiano :tqualirericlnotis.Hocitaq;modo,C11 tales duze 11011111": liner: nunquém tigzint pcrifcriasdxrcunr iam duo Punch contuéluum d: toto 111111161‘oJicu: 3c totidé punch fcfiionfi: Nam dun linens homrum .‘1 meridic 11in: indc (11umer dicntis N6 tangériims mquidiihnresin lingtilis trii punéiis hype-rholck x.pcr1; fecfidi conicor11m,coincidfit.V11dc (1192111111: 7. Lpfich cétac‘hulm in qbfic rotidéfEC‘ci011652Qu91i dc propolitionc dcmoiiridfi fupcrcmt. Vndc manifcflum elbcp id , quod in horologio inc-rid. i'cmpcr flCCitlit dc linen horizonmii & linen hora: 12.:1b o1'r.vcl occ.n<'1 fempcr cuc-nit in horoiogio vcrticali latitudinis dimidio reéii angull 1111ioris dc li< 11cis aliquibus liorarijs , nifi przelhppoiim circuh vcrticalis,quaiem prmdiximugpofitionc. 116 in meridiano cuzncfcunt n6 folfim duo punita contm‘lufi cum {citionibusfcd ctiam vna ex {eciril).i1or;1rijs, vcrticalisflum per 2."J lemma tcrrij cap. Prxccdcnti libri, reliquorum circulolg in piano hyperbolam {eflioncghoc eli,linea horg11.&liuea 1101-11: vnius 2a meridianx inuicé xgdifiitcs unit, (36 codé fyilogifino linen liorx 13 cocluderur achiliis linca horse vnius poii meridianz. Cum £11115 per 16" 1 Lei'ogglinca 9 a @xquidifictlinex hora: 1 Lfimt cnim c665 il‘éiioncs circuli talis horc; cfi planis :equidiflitibfrircuii Ii {c1licct1ncr.f;1ccrc {olcn q mli liorologio aequidifiis n6 E1cit linci. {De flan: [my in flflgM/u" bow/0g}: per/[ngu/ox [060mm rib/115% fltm, rvmlzmmm dcfinmtim , fufczpzmflém. [4]). f. verticalis &iiorologij,fitq; 6:1 (plntus c6r;1€tus,fupcrquodJicirculus diéht horse tigit confuproptcrcmpcr 4.pr:1‘a111b11i(1,p1'i1nicaphuius IC 12 N DV M nunc dc iincis vmbrarum dcfinérias fulkipicntibus, lib.iincal10rm 1 1. qt; in imméfum vtrinq; cotinuammunq coincide: fupcrficici c0nicx,& perindc ncq; pcrifcrim hyperbolicmc‘ic lioc idem flmiii arguméto,dc iincn hour 1 3.1ic1116lirabitur. Qijobré mics dux vis plano,Periingulos locorum Solisq;iit11s. Namq; Solaris 1'11d1113 dué‘tus per acumé fl'yii, eiufq; vmbmm rcrminis 11c dcfcribc's in ipib hoc eii,dc{cript15 ab 1'pli1 vmbrzr cxtrcmimte in homlogij cuius a'quinoéiij die planam xquinoélialis iiiperficiem, dcll‘ribit in omnis lineagin l10C€X°,l10rZ¥f 11.&hortg I 5.1Ein11icem in pné‘ro mcdio inrcr k 1‘ {ccfitcs,quod cfi cétrnpofimrum cenrrum, 1111s[i& ii in infinitum vrroucrfii 111 produclro: cotaéhlni c1'1 pcrifcrijs admirtér. Imo quxcfiq; linen iplilrum vni $(111idiiinns, jpiirj; ac pcrifcrin: intericCh, omnino Corinna [a pcnflxig occurrcr,pcr 3.prc_ami)ul1'1 primi Capqfiquidcm, xquidilians crinpcr 9.1 1.1i'0134 larcri contad'us 99.9.1'1'1‘; .1 w.& extra PlanUm rfigcns {tori-11m ad partcs coni rolim. Ex quibus cocluditur, q; micslinexhomm11.& 13.ii1nrN6 [first-lites liypcrboiagz Spoiimrfi kx.r z.& inccdétcs per 1711111311111 muiium ipfornm pficiog: ii 1'.q110d ciihypcrbolnrum cEtrum:Tnlis cm céditio nullis niii Non tfigcnrib. :1ccidir.Et i10C crat dcmoniiridfild idE Eicicmus rP piano l1vpl1oiarf1 111y.t umoddilp circuifis 110mg: vnius an &po{l11;cr ails 1'11fliiii-111115 c11'culos 11013111111 duaruan an'c & poi} mcr. Ck pro circuiis liomrum 1 1:6:133'0 or.vci oc CIl‘CUlOS i10111r11m 1C.&'1.1innidénunicrararfi; 1d 1dE pro lintis horarum talium ciirlu Gill-111115 : Ni lines; i101‘r11‘11m 1 0.3: 1.1.311 to Cilfil cili'ntNon [523. 1‘11 s in ‘wri‘oinkgpoiiro \‘iriciicét arcu parailcli 1'; i) 44111111101 runc 1101;11'1'1Jd11111'1; Pro cxrgr's hmnrijs ' ' cirrulis horologij piano rcc'lam lineam: Cum per 5.11.planorum,c6isfc&io [it r6111 linca. In cxrcris autcm dicbus,defcribés,vr diximus,conicas fiipcrficiesyamllclorfi qqgalium £1 Solis cErro &£1p11n&0 diametral'r oppofito dclcripror-fi,d:iineatin horologij piano flcxam linmm,qui ipfum pianum conicas iupcrficics {ccido procreat. quéadmodum in 1" prézambulo primi cap.i1uius iibcili tmdidimusScd hic diiiiguédq funr 51613111111 lic 1n horologiorum planis linearum,ad quem 11is loci, Solisq; firumfpccics: Agcmus autem Per conciuiiones & corollaria. Sirq;prim:1 C6cl11iionum. 1. In 011mil101‘oiogio,$oic xquatorem poilidére,vmbrarfi termini per ton? dié in vnn rec'h linen. terminif: quze rcquinoétialis linen vocat', 8c meridiani ad recitos {ccat angulos. Talis enim linca ell: cois {critic mquatoris cum horoiogij plano,& ob id rcCia. 1.Co N c L. Horologi 11m aninoflialc in circuluri pcriferia fufcipit vmbrarfi terminos:hoc E,ad {ingulns {olis pofiriones fingulis accomodaris circulis. Tale cnim h3rologifi,cfi azquidificrcequatoris pinnoxquidifiabitomnium parallelorum bafibus:& erinde fccans conicas con} lhpcrficics,fi1cicr,pcn 2"I primi cap.pr<gam 11ifi,& pct 45 P z. Primi |