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Show e Dt CirculiJ Sphttra ~ . . 3 ·d· otius qoam ab hortzonte dlttlLJ Jnm redcnnre ddlnet. A nlerJ te aute~ P . ' i regione alque habtra-inchoare maiuerunt Afironomi 'C]UO~t~m to o~nl bee ad horilontcin._, · ft 1 (! d m modo ad tnendtanum 1e 1a ' . ttonc O! etnper eo. e . d .d. m rclatus vbtque vntfoitnJ!~ vero v .1 rjct a Ct.'S fubtt; quare dtcS a rnen IC . . .b S Obl oxius eft quz ac Uabi:is eft, ad horizontetn vero relatus vanat~Onl u . I ' Aflronomis ne otium facelfunt. ~propter faptenter ~actunc . P.leraqu~ natJ·o n·e s , Hl·rtp gln t· , Calli. , Belbo z > Germani, Poloni, qut hoc d1e1 gencre.. comrnunicer vtuntur. .. . 5. M etitur maxim as aflrorum alt irudiAes. fupra honzontem ; cum enu1~ eum Atlra attingunt, tunc maxitne ab hor.tzonte attol luntur, ta ntJqn~ eft eo rum meridiana a1ritudo, qu~ efi omntum _maxtma, quantus ~fi men dia ni arcus ab h0rizonte vfque ad Aflrum inteneCtus.-. Hanc_ porro, tum._, Soli~, tum A.O:rorun1 meridtaJam cleuationem repcnes pruno per ~a .. drantem Allronomicum propof. 8. apparatus hoc modo. . , I llud Aflror.on-iJCe con-s "0 3 s 4 0 4-s so ss 6 fiirue, idcfi, in placo quo· piarn horizontal! 7 vc latus A B. ~dranris fit horizonri parallelutn, & fimul fupra lineam nJeridianatn intbi Jccurate duC"tan1; latus vcro A D. flr pe:-pcnd iculariter erectui:n , cuit;S ~• gratia perpendicuiurn lJ I. debet propri~ line:r ~ ,1u1di .. fla re, ac hlxre-iuxra arus, AD, radens defCend er~ ; Latus autc:n1, C B~ n1er idte Vt."rfus afpiciat Splendente iam in meridic; Sole, J)lO· pra ~dra n ti adh~rccs . . . fuf'-juc deque toJ1atur, do-ne. c folJs r_adtus per ~tn_tmque pwnularurn foramen a-que 1JIJbatur: in quo Dtopr~ ~ hru , ~:uus ipfn s c. E. 1ndicabit in Q:_adrante gradt: s aicitud wis mend1a~,~, qut eflenc, v. g. m ar.cu DE. grad. 36. ranra eni1n eft ekuario {upra horrznntcm, qu antus efi arcts quadrant1s a pun do D) v (q; ad Dioptram numeratus. Q:?~ ~ {~J~-~ minus collucensob~jciatur ,_tunc vice radi; iplics,vtcmur rad~o vtlu~lt, h.elt. per .vtrur~que nmulam tn pinnuJarum futnrnitatJbus e~tfam' JO aar~t~ coltur.~b J(~I?llS 'atque interim lat~s E c Dioptrz ill.J ~~~rante mertdtana! alttt~dtnls gradus, ac graduum partes indigicabit. . Aho pr~terea m?do,& q?tdem ~ubrlliori ideln hoc patio obferuabimus: 1nuenta ( vtt fupenus docutmus) tn plano quopiarn hC>rizontali, Jinea me~ ridiana, Par.r ~(cunda. · ~, ridiana, erigatur e~ ea Oylus plano perpentl i cu 1ar :s ; cun1 enim ipfius vmbra lin\:anl mcridianam occup1uerit,ha bcb1t {ol rr1c:iJjlnam a.Jtirudinem; notetur igirur c:unc temporiscxtren1um vmbrc.e io i?fJ rn~ridiana cx~ften!. atque in eadem plano a pede_flyli ducatnr linea perpendlcularis rn eridiant Jinere, fit que ip!1 fiylo ~quahs, rand em ab extren1o vmbrz pr~nOt.ito,du. catur linea vfque ad extremum linea: fiy lo <rquaJis: v. g. fie in plano meri, diana, A B, Hylus, B C, recta B D, lly o zqualis ad angulos rectos ipfi tne• ridiaoz ; vmbra fiyli percioeac ad A, & ab A, extren1o vmbr~ ducta fit, A IJ. eric angulus, D A H. altitudo foJis meridiana. & quonian) vri prop of. 1. Appar. quancicas aogulorum defunl itur ex arcu illi fubrcnto: f~lLlo centro in t\. defcribacur arcus, FE .. atque quct gradus contineat1 expendatur per eandem propofitionctn 1 tot enitn gradtbus foliS rncridiana c~ lrirudo conftabit. R~tio eft,quia fi cogicemus triangu lum, A B D, ex plano in quo iJcet afiurgere manente larere) A B, fi.xo tanquam axe huius motus, ica vt latus, D B, congruat, fiy lo il C. crafibit I atus, A D. per Hyli verricem,quia pnnctutn, 0, congruet tnucroni, C. Hyli; & proinde linea, A D. radio So-. lis per eu :1de1n vercicetn, & in A. tandentem congruet; vnde mJnifd1e fo. lis alcicndinern fupra horizontale planum indicabit : igitur qu~ nta ell inclinltio J inecr, A D, fine quanrus efi angulus ad A, fiue arcus, F E, tantL crit meridiana a ltitudo {i)Jis: nam in lnc trianguli eleuatione angulus ad A. nihil eft variatus; quJr_e etiJ.C:j{i triangulum non affurgat, nih1lorninus angulus ad A, fiue arcus e1us, FE, quanuratem qua=:icam p acef~ciec. pof .. fumus autem expedire pr;t;dlc1uln arcuLn cogoofcere, hoc xnodo, ;xcc1pia tur circtno linea, A E inttnunent1 propof. 5. appar. & ei a qua lis in latere~ AD, h!lius trianguli iiunJtur, qux lie v. g. A F. deir.1de ci rcino accipiacur D· arcus F E, applketnrque arcui ~adrc1ntis infh umenti ,. fa £to initjo abE, fit que, v~gr. arcus 11li ~ qu al is E K, qui gr. 30. conrtnec: altitudo igitur qua:fita meridiana rocidellL..J gra. erir: ficque in Q2;1dr.ante, aur et i3 nl in fenHr.irculo. cju(dem irdl:run1cnti, fi angulus elfet obtufus , fern per ~b[que nou~ diuifiouis labore..,, . ~pparcbit in grld. & minu- ~ts qn1ntiras cuiufuis :tr·cus, feu angn li ~ Hi fee duobus pr~dia:is modis, tdefl, per Q2J. drantem, & per vmbra n1 t y li in pJano horizontJli, ca:terz quoque a1tirudines non m e ri dia n~ ir.ueH tP-a ri potfunt)neglctca rune meridiana line a : fed in fecu ndo n1o~o per vmb~·.1m Cly li, fa tis cfi .:t.:>cipere vrnbram ~pfam pro latcrc vno tr!anguJi A B D. vri quil~bet fuo mar.te facile .ex:~qu•. pot~ric. ~~ 1ics huius inuettigltionis. modos.,veluti implicauores, Jc lndultna naif~s fJcio. 6. I~ - |