# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1016735707:0398 # Permalink to this reading: https://leibnizlegible.com/page/1016735707:0398?run=74 # Title: [Observationes Diametrorum Solis Et Lunae Apparentium, Meridianarumque aliquot altitudinum Solis & paucarum fixarum] Observationes Diametrorum Solis Et Lunæ Apparentium, Meridianarúmque aliquot altitudinum Solis & paucarum fixarum (shelfmark Leibn. Marg. 130) # Folio 380, page id 1016735707:0398 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1016735707&page=398 # Source image: https://digitale-sammlungen.gwlb.de/content/1016735707/jpgs/default/00000398.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 85 lines, status machine # Lines: 85 recognised, mean confidence 0.86 # 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. 2B. ITI. De nonnullis numerorum proprietaribus. LXL ML L CM. Esto arcus frad. 4) . Arens erad. 45 3. Arcm e. 4) 63 antiet se disr distantes. Deneur quoqne Sinuum Locarichmi sineulis Mor conraces, t in appo- siris numeris exhibeneur. Sectis autem horum arcuum Me dauns i quinque parces aquales, siune quamor arcus intermedii, quibus eriam apcare cupid s snuum Lon carichmos. arcus Sinuum Losarithmi. Differensie prima.) Differ. Secunda. D. Terriae 45 0 3,84348,50021,680 45 3 9,84986,36650.577: 45 6 385024, 16676, 3123 45 9 3,85061,90T102702 45 72 9. 85099,56964,7955 45 15 9785137317249, 92 45 18 (3,8517470976,7274 45 2c (9, 85272, 18158, 12, 3 45 24 19,85249,58804,6720 37,86626.697 1300 233135 1373434,057 1166653,8252 37,60284,997 37,53273534 3734720135372 F datis Loearichmis elicio differentias omnes, usque ad quarias, quae sunt aqua- les, si nota ulcimae excludancur. Flae saris ostendune Loearichmorum noras ultimas, idest decimasquintas; non esse undequaque perfectas: cumque ipsi non possint eignere alios, quam sibi similes, oportet intermedios Locarichmos quatuordecim solummodo nocis exprimi, ut in decimagnaria omnino fiant accurari. Teirur inceeram differentiam quariam 40, vel aliam quamlibet divido in 5, es remanet Ouoriens 8 qui iterum per 5 divisus relinquit alterum Ouorientem L, quem cerrid parcior in 5, es venis terrius Onorions O, quo etiam per 5 diviso, relinquitur quarius Onotiens oee, qui est differentia quarra intermedia non crescens, neque decrescens, quam ideo colloco in columna quarrarum differentia- rum, e reeione singulorum terminorum, cum sit ubique éadem. Item inceora differentia cerriam 11484, quae ad secundu pectat intervallu, parcior in 5, es habeo Onorientem 2296, quo eriâ per 5 diviso. exis secundus Ouoriens 459= Sed es illo eriam per 5 diviso; restat terrius Ouoriens 9r qui est differentia teriist incermodia, quam (cribo in propria columna, loco medio incer omnes tertias interme- dias, quae ad hoc secundum spectant intervallum, eo quod divisor est numerus impar. Fodem modo investieo alias differentias hujus columnae respondentes suo unamgnam- que incervallo, ut gre, quae cerrio intervallo responder, quam ideo staruo loco medio inter alias terrias incermedias cerrii intervalli: es inde reliquae terriae mihi innotesount sola additione vel substractione quarearu intermediarum. Nam terriae intermediae 97 addo Diff. qu 6603, 1 6591,677 6580,2226 6568,8282 37,40646, 5472 655734625 63463 1362 63348503 nado qua labedene lia intorn iA ipsa 320637 punda, 9 Merr li rediaru dem sec ducam, pr lerenuia Iula decundas Mpleo. lem que ecundas ecundae Perior 2 Peiru peram IlIS adicum qui um conci 1 primu prin nun