# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0638 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0638?run=74 # Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2) # Folio 552, page id 779782283:0638 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=638 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000638.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine # Lines: 91 recognised, mean confidence 0.92 # 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. 55 PEZSTOA IR A CTATVS II. alticudinis, cuiuscunque sint lari- LL; vel rectangula, VEFB, FD; CUnE cudinis, habene eadem momenta; aurem in duplicara lacerum homo- Cum ScilicCE FaNEUM CFCLCAE MMOI E- cum, carione ponderis, quantum decreleir, rarione relistentiae; praes- cindendo scilicer ab appento pon- deie. Secundo, si bales prismatum Sine proporrionales, momenta lune in carione compolta, ex eriplicaca alcicudinum, vel lacirudinum, per- inucando, _ ex duplicaca carum- dem, non permurando; polica sci- licer eadem longicudine, de PraI- cindendo ab appenso pondere; (une enim momenta, in hiniulmodi pris- macis, in ratione compoluca seli- Sisteriarum permurando, d iplorum Prisinatum, non permurando; POrro relistentiae, Cune in criplicara alci- cudinum, vel lacicudinum, modo hae sinc proxortionales; lunc eriam prilmaca, vebales; e hae, in du- plicata alticudinum, vel lacicudi- num; igicur momenea prilinatum, quorum bases une proporrionales, praescindendo ab appenso pondere, Fune in compolica, ex criplicaca al- cicudinum, permurando, ex dupli- cara carumdem, non permutando; V. 8. Snc praedictae bales proporrio- nales LFI, LI; Sicque LC, selqui- 26. 2. 2lTOrA LK; hae sune alcicudines, quarum rario eriplicata est 7. Per- mutata vero=. duplicaca criam compolica denique . igicur mo- menta lunc re iplae alcirudincs, per- mutando, id est ve Z. Ei vero pon- dus appentum tantum consideres, praescindalque à pondere prilma- cum, haud dubie momenta crune in criplicata alcicudinum permu- cando. Tercio, praedicta bales propor- logorum; hoc est vel alcicudinum, vel lacicudinum; in quo non est cionales, ret cunc quadrara re L. HI, difficuleas: porro (IFB sic prilma, cuius balis quadracae, lacus, sIF AB; _ SI FD, Sic prilma, cuius lacus baliS (IE CD; haec prisimata dicun- tur proporrionalia; quia scilicee lacus basis prilinatis FD, est ad la- cus balis prisinatis FB, re longitu- do CF, ad longirudinem AF; idem dico de cylindris proportionalibus, quorum longicudines, et diameeris lune proporrionales; Cunt aurem hi cylindei in rarione criplicata longicudinum, vel diametiorums quia Cune in compolica balium, de lonsicudinum; bâles aurem lunc in duplicata diametrorum; et cum lonoicudines sine re diametri; cy- lindei Cunc in compolica, ex dupli- cata diaeETOTUM, d ex rarione Cmplici carumdem diamerrorum; Sed haec est rario criplicata: idem dico de prilmaris proporrionalibus. quorum basis quadrara cic; imimo idem dico de prismatis proporrio- nalibus, quorum bases Tunt rectan- Sulae, Ced non quadratae; nempe inter duo lacera ba(IS, Sc media proporrionalis, quadrarum huius, est xquale rectangulo, Tub praedictis laceribus inaequalibus; isieur sIE media proportionalis, incer duo la- cera balis prismaris A, 2d longitu- dinem ciuidem A, ve media PFOPOI- tionalis inter duo lacera balis prii maris B, ad longirudinem ciuldem B, Cerre minus lacus A, eric ad luam longicudinem, ve minus lacus B, ac Cuam; _ maius, ve maius; quia (I una media proportionalis sc ad quancicarem C, re alia ad quanci- tarem D, extrema illius lingulas Ccortim,