# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0089 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0089?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 71, page id 1040780814:0089 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=89 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000089.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 68 lines, status machine # Lines: 68 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. Lib. i (BCMI ipsa UIn da na quat CMII UI SI lat TractuI deseit 2aXIM erroI NTIINEI pACM venti naxil PrOt REIII. 10 YC BeI rerolV ne insI atricil C, aUI XimC. 2. in prae atrice. Fir mpe 15 prot Pumal EE GEOME LRLCL MLCMENLA. L. 1D. T. coleratricem Coris L. Verus S, au in puncto anumpio L. verla tur: quia ex hrpothesi, ris acceleratrix in L. est ad vim, accelera ericem in K in duplicata ratione ipsinS SK ad SL, hoc CA, (per con Aructionem,) ut Sa ad SR. Jungatur YL, d per a huic parallela du. ad libitum L. locus corporis minimi in sua orbita BCCD: SciatII. que in SF, care producta, recla sa talis, ut haec sit ad sk in dupli cata ratione ipts si uuses qua pronsce esposet aldaetionem ac Catur a M, rOCtA SL ALCMLFENOMIM Corporis in L versus s’attractio sa resolritur (ut notum cHt) in cujus umbilicus dicet c e dicco Cencro. Vis altera, qud L ursetur. AEEraCtIOneS AM, MIS. OUaTO COrpuIS L urgebitur ri acceleratrice tri- plici: una tendento ad r, _ oriunda a mutua attractione corporum L CT; hac vi Lota, Cos pus L Lac L ad centrum corporis rducto, describeret areas temposiou prepales, d PerCUTrCTCE LMITI exponitur per AMI, eAtque eus directioni am parallela; qua, quoniam cendit ab L ad x, acdncta vi priori unam cum illa conticiet; qua CG ut area radio ad r ducto etiamnum temporibus proportionales describantur, per CorOl. L. PFOP. LT. AE guoa V HaC u A H non est quadrato distantix Lr reciproce proportionalis, Vis coupo sita ex illa ex priori talis non erit; Sed ab haC pFOPOTCIOM ad idque eo magis (eaeteris paribus) quo major ett ris haec nora per ad repraesentata, qua priori superadditur. Proinde corpus L. Guo a Composita hac ri urgetur, non describet perimetrum F.lsp Ca jus Focus esF: (ad hoc enim requiritur vis ad L CCH_CH, qua Gua rato dictantix ab illo reciproce proportionalis, vel LL. L NL Faciet ut orbis E C D aberret ab Fllipii, cui umbilicus r; idque eo ma- Sd quo masis aberrat vis haec composita, (qud L. urseTUP,) a vi qua- drato distantix a T reciproce proporrionali; id eAt, (ut hactenus Octensum,) quo major est, exteris paribus, vis superaddita quam re- FexE AM, respectu vis primae qud L a T actrahitur. Kursus vister tia qua vroetu COrpuS L, quam exponit recta MS) secundum hujus directionem; (nempe SCm L.L a MS PaLAHICLALI) aSCI ribus