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Show 82 DELINEIS HORARIIS.' fecat conicas fupcrficicsfircir curuas perifcriasquas linear horarice me- pcrtiria, quam lincm :‘1 meridic horas parting, (scant: & in iplis diui« fionum punétis tangunr linca: horarum ab occafir vcl ortu ccprarum tcrminatriccs.. Nam huiulinodi curua pcrtiria in horologio horizontis obliqui, 86in horologio verticali loci latitmlinis +(_.g1'3duum ell: Parabola. In verticnli aurcm maioris larirudinis,& in marizliano hor0~ logio,fiunt dux perilbrim contrapolitarum hvpcrlmlamm. In horolo- ridiana:,per vnum aXIS punérum duéb: (scant, 8: in z 4. fcflionum pi éfis tangunt lines: horaria: occafualcs . & quoniam 24. citculi tangcm gio vcrricali minoris latitudinis ell Ellipiis. Iraq; ficur linca‘, qux horas £1 meridic dilccrnunt in ohliqui horizontis horologio j1n asqnino- rc inrcrfccanr. Intelliges ergo z 2.9quatoris Parallclos,V'ndccim,fcilicct chtcnrrionalcs,& totidcm aul‘tralcs : qui cum duobus cxtrcmis hori- Vériali 86 vcrticali fcinuiccm {uprr vnum pund‘um axis in tcrllcanr, $5 in horologio mcridiano & horizon {is rcéli requiclil'cant ; ita linens, qurc zonrcm tangcntibus 8: cum iplb acquarore fimr. 25. ex quibus ipfi mi norcs 2.4. iunéri cum 37.1naioribus faciunt 6 x . (Lui parallcli dum dc- horas ah occiifu dil‘ringuunt, tangunc dué'cas pcrifcrias: hoc citin ho- ducunrur per Fun in {corionum , in quihus Circuli rangentes {efe cancellatim iurcrlbcanr, hunc {cruant ordinemzvt Acquator, qui mcdius cfi,habcat {cmicirculfi {upcr horizontcm,& {cmicirculum (uh CO : hoc clli duodrcimam nrcus horarios fupm, & roticlcm {uh rcr horizon rem . rologio mquinofliali Circulumzin horizontali omni , & in vcrricali 4;. grad. laritudinis,I'araholam. In vcrticali minoris latitudinis Elliplim. In 'vcrricali maioris larimdinis: & in omni meridiano horologio Hypcr‘colas contrapofitas : rangunt, inquam, in illis punéris , in quihus Collin-m parifcrias {ccanr lincrc horarum :‘z meridic ccptarum terminatriccs . Item illud nora dignum, & minimé omittcndum, quod in ho- tes {ccanr in 24.pun€ris :cquaroré, in quihus cum fecant duodecimam Circuli fecantes , & tangunt difios duos aquatoris parallelos in 24.pfi flis,in quibus eofilcm (ccant Circuli lbcantcs‘; Idcirco, (licut corum (itus pofcir)ipfi 24.circuli {efc inuicem cancellarim vtrinq; ab Acquato- Dcindc {equcn res duo correlatiui hinc 8: indc paralleli,& dcindc duo tu,fi1nt dun: lincrr, qurc in conicis appellant Non tangenrcs , fiuc Non coninciilcntcs . Cane lrilicct in infinirum produfitc lbmpcr approximam, & nunquam concurrunr ipfis Hyperbolarum contrapofitarum fcqucntcs lircmfiiuéwfq; ad extrcmos minimos, qui tangunthorigon tom : & qui parallelorum Integrc; {parérium fun: maximi (qua: fun: 1 z. paria) vr coalrcrnos arcns hahcanr xqualcs: hoc efi,vt quot horas Parallelus horcalis 119.th fupcr llorizontcm , totidcni aultralis habeat {uh horizontc:& ccon trariozquot hic fupegtotidcm illc {uh tcrlgitur Primi pans parallelorum hinc CY indc poll Aequarorem {umprorfi co- pcrifi‘rijs . 041/42 Non coincidcntcs fiunt quandoq; in horologio verticali vhra latitudincm +5. graduum. Item in omni horologio horizon alrcrnos arcus intelligcs hahcrc horas l 3 it x 1.. Sccuncli anrcm paris, horas I 4. & Io. Tertij paris horas 15. 8c 9. Qtjtrtiparis , horas 1‘6. rologio meridiano , linca hora: 1 2.. 8V liner. hero: 24. ab occalu vel or« (is cuanefcir linca hora: 2.1. Nam horizon famens talcm lineamfiqui. dil‘tar plano horologij horizontalis. & in horologio mcridiano Gunne{citlinca hora: incridianm, quam Facir mcruiianus :L'quidillans plano horologi}. & in horologio vcrricali larituclinis .4, 5. grarluumxuancl'cit linea hora: duodccima; ab occafu. Nam planum Circuli horg talis (gqui dilraripfi horologio. Dcmum in horologio quocrlnq;,iiquis Circulus horarius ocquidif‘rct iplius horologi; plano , in illo linen horaria circuli talis cuancl‘cir. Ex prwdiétis pcndct omnis horologij Sciorcrici {Pev culario & firhrica . De [mm/[6%. 8: 8.Qujti paris,horas x7.&7.ScxriParis,horas 18.8: 6.S'cptimi pans, horas 19. 8c 5. Oétauiparis) horas 20.8% 4. Noni paris , horas :1. 8C 3. Decimi Paris , horas 27.. ' 2. Vndccimi Paris horas 23 . 8c 1. Duodccimi Paris ( qui {Cilicct hinc& indc tangunt horizontem ) horas 24. 8C 0. Nam ex his duobus horcalis torus cxtat, aufiralis torus dclircfcit,in punflto rangenrcs. @x omnia paruo negocio, ex sequalitare ipha'ralium triangulorum demonfh‘anrur. )lIOLl),~GfiCut1n.Pr{E-. ccdcn :i capire imaginati fumus clues C0nos,quorum bales funt Cu‘Cull parallcli rangcn trs horizontemwertex vero Communis cen trum mun- di ; ita nunc 8: in vnoquoq; Pari diérorum parallelorum facmmus; (22p. I 1. E X przmiflo igitur capitc con {lat circulos horarios meridianos,qui per mundipolosxllc 12.. Qii ibcanres vocantur . Circulos aurcm horarios occaiualcs tangentcs eil'c 2.4. Qui cum Acquarorc Emul fimt g7. IConos aurcm duos, quorum halos {unrduo Aequatoris paralleli , horizonrrm rangcnrcs. at qucmadmodum planum horologij, dum fecatiplos CII‘ClllOS,faCit lincas horarias ciulllcm nommis : Hum autcm iarn adipifccm ur vndccim aha paria conorum {ingula pro bafibus Cor-relariuos parallelogéc pro vertice comm uni vniuerlalc ccntrum babe: tia, rminquécia in mcdio mquatorcm: cuius fupcrficws planapcr diam ccnrrum iihi commune inccdit. (Mibus ita inrdlcé‘txsfcqurrur, vtfi-cut in capire pmniillo,planuin horologij iecfis. circulos horarlosih‘oc; all fupcrl‘icics corum pl‘anas,facichat linens horarias .crufdcmhomlms: 8: fecnns. conicas, iilperficies parallelorum tangentium honzonrcm , ‘ {ccac ,. a.-. n, vww-w. 83 dem mquinofiliali circulus : in cateris fed‘io aliquaex conicis,cuiud 4 2, facxcbat |