# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0181 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0181?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 163, page id 1040780814:0181 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=181 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000181.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 86 lines, status machine # Lines: 86 recognised, mean confidence 0.82 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. depieen VC CirO JOMnUIIG Niopetaa HIS, Lobu lia Det L italio e TCt pe olerie vil 1 in FarO pellatte I1, tella DE1 VarI DaTENCCM n quos CtOrIH quOruN Ctu 10p. inveniaa 2A qua l 1C ta1 110 pla Um ent C a. jul ei HO l. 1D. Il. E EFFOME TRFOA R PEMEN F A. labente ceipore, quo Fixa quaeris a Meridiano digresta ad cundem rerertitur, quod die naturali paulo est brevius. Hlorolosii sic ordi- nati index ad initium numerationis constitmatur, dum Sol Meridi. anum attineie, e notetur hora ab FTorolosio numerata, quando Fixa, cujus ACcensio Recta quaeritur, cundem attingit. FTOrX Ca- rumque partes de indico numeratae in LE quatoris gradus _ illo rum PaTtCS CONreCLantuE, ut Supra est dictum: Prodibit interrallum Ascenionum Reclarum F’ixx _ Solis; hoc vero additum AsCenSi- ont Lectae Solis exHibet Fixa Ascensionem Rectam qua SIFaM. Si vero, in Autotnato ad motum Fixx diurnum ordinato, loco24. horarum OstenCantuE 360 gradus horumque partes seraselima, e, dum Sol est iu Meridiano, indices Ratuantur ad numerum ora- duum e scrupulorum, ex quibus Solis Acentio Recta tum constat; ostendent hi absque ulteriore reductione) Ascentionem ReetAM Fixa, cum haec Meridianum attinsit. PROFOSTTIO XX Mis Dectiratione Ce Ascensione Recta unius Syderis, e De Cinatione alterius una cum Srderum Distantia, posterioris hu us Ascensionem Rectam invenire; e e converso, Srderum, quorum Ascensiones Rectae ( Dectinationes dantur, Distantiam invenire. Reterat E. e Aquatorem, cujus Polus e; sintque Sydera A e B, ex quorum Declinationibus ca, DB datis dantur horum comple. menta sire distantia a Polo, nempe P A, PB, daturque etiam (ex hy. Pothesi) Syderum distantia a B. Ouare in trian. sulo APB, datis lateribus inrenietur ansulus AP B, eE proinde ejus mentura cD arcus; diste- rentia nempe Alcensionum Rectarum Syderum a e B, qua proinde addita vel subducta AICen tioni Recta data unius, (prout circulus Declina- tionis per hoc trantiens eA ad ortum vel occa- Cum circuli Declinationis per illud transcuntis,) dat alterius Alcentionem Rectam guasitam. E converso, datis Syderum a ec B Ascentionibus Rectis, datur ha- rum differentia cD; hoc cA, ansulus c PB, cujus ilto arcus est men- Tura: _ in triansulo a PB, dantur latera P A, PB datarum Declina- tionum complementa, una cum ansulo comprehenso AP B: inveni- entur isitur reliqui ansuli, et latus a B Syderum Distantia quasita. Pariterque duorum in Telluris superficie Locorum, quorum L on situdines ex Laticudines dantur, invenientur Distantia in circulo maximo computata, et ansuli quos hic (qui communi Arimutho Caeletti relpondet) cum ueroque Meridiano continet. PROPOSTTIO XXV. ae scnsionem Rectam per observationes determi hare, m Fhaenomeno interdi noctu conspicuo. Obserretur Chaenomeni diu noctuque comspicui Declinatio (pet erOP.