# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/834940469:0152 # Permalink to this reading: https://leibnizlegible.com/page/834940469:0152?run=74 # Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98) # Folio 68, page id 834940469:0152 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=152 # Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000152.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 recognised, mean confidence 0.89 # 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. F, iceuapeslolidi rocundi orci ex Figura OND OTX rotaca circa rectam Y 4 es dupla superticiei Colidi orri ex fi- sura QNP rocara circa eandem X4: perimerrum quoque BAC BLM duplum est perimeeri B A C, ee perimerrum QNDOTX perimetri a NP C hoc eM si figura sc inui- cem cangane in puncto Colummodo; quod s le cerise- rinc in recta linea, oporret imaginari aliquam distanriolam incer tisurarum rniones, ve generalis fiat demonseracio ) cumque dimidia (inc in eadem rarione cum luis duplis, lu- perticies Colidirorundi orri ex figura AB C rorata CirCA re- ctam F F erie ad superficiem Colidi rocundi orti ex figuraN OProcaca circa rectam Y4 in ratione compolicas exracione perimerri ABC ad perimerrum NOP _ exratIOnCKFIad 5~ Peu DC ad RL, quod demonarare oporeuit. d CONSFCTARINM. Inc sequitur, si cenera erouicatis perimerrorum aron cationis asibus aequalicer distene, suxerticies solido- rum rocundorum exrocatione genirorum esse in directaran cione precum pelimeerorum, quod si ipla perimeera line equalia, superticies solidorum rocundorum ex rocacione genitorum esse in ratione directa incercepeorum inter cen era grauitatis perimeerorum de rotacionis axes, quod s in- cercepte snt equales ee perimerra equalia, superticies (oli dorum rocundorum semper eneEquales. SC H OL IV M2. X At elGo manifectum est inter duas quascunque fis Surasrres alias esse rariones a cribus precedeneibus diuerlas, nempe perimerri ad perimeerum, superticiei Colidi rocundi ex rocacionernius figure geniti ad luperts eiem Colidi rocunsi ex rocatione alcerius figure seneci, d 58