# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0222 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0222?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 136, page id 779782283:0222 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=222 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000222.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 87 lines, status machine # Lines: 87 recognised, mean confidence 0.90 # 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. 13 P EI YSLCE TR ACTATVS I. cellumm: ve aurem tat aequatio, (IF excentio non compressi 1. primi compresi =. secundi vero-. pri- mus excellus est ve r. lecundus ve 2. isieur prima compressio est 2d Secundam ve 1. ad 2. haec eadem est moruum proporrio: idem ha- bebitur, si exrensio non compres- Ei, in parces aliguoras, commu- nes extensioni compressi, diuida- tur, ve ostendo in alio exemplo: sic extensio compretti. extensio. nis non compressi; diuido exten- sionem non compretti in 12. hoc Poliro excensio non compressi est 22. COmpreLAI VE 9. VE aurem 9. 2d n2. lIc 12. 3d 16. haec est extensio centionis homologa, e excelsus 4. sic alia extensio compresi. Z. id est 8. VF8. CA ad 12. liC12. ad 18. hec eAt censio homologa, cuius excel- lus eA 6. isirur prima compressio est ad secundam, vF 4. ad 6. sed (pa- tia Cuncre 3. 2d 4. ergo maior est Proportio compressionum, Peu ino- cuum, quam spariorum; vides quam haec sinc Facilia. DROP. CCZXX Si tubi sant ejusdem compressionis, es crassicudinis, sed diversae longiru- nis, tempora reductionum sunt et CHOB Obleruabis aurem in aeque com- pressis inae qualis lonsicudinis cari- dem esse proxortionem defectuum excensionis, de longicudinum; v. 9. Ec FK longicudo cubi maioris, e longiudines: Ouia Sparia tocalia Cune in ratione duplicata longitu dinum, sed rempora, suppolitis FIF, minoris; sicque FIF Subdupla xqualibus mocibus, e eodem modo acceleratis. lunt in rarione subduplicara spatiorum, ergo cem- pora Cunc re longicudines; quod eodem modo probacur, quo su- pra derensis probacum eAt pFOp. 92. dec EK; COmpTIMATuIE IN HE; ita VE Fis. 2+. quodlibet punctum Cubduplam prioris excensionem habeat; ve HIFE aegualiter CompriatuE, debet comprimi in CF; ITa VE GF SIC Cub- dupla FIF, nempe in ca proportio- ne sinsula puncta. seu legmenta comprimuntur, in qua comprimi- tur coca quanticas; isieur re lingu- la puncta TIF ad Cubduplam ex- centionem redigantur, debet tora HIF ad subduplam redisi; igieur VE KF, est ad FIF; ita RFI, ad LI6; Sed haec lune Facilia. PROP. CC XZX I. Determinari potest ratio tempo- rum, in qua reducuntur duo tubi ejusdem lonciudinis, es crassitudinis, sed diversae compressionis: Si (uppo- naiur hypochelis Calileana, ita LCS detinieur; sic cubus AD, plenuS Fig. 25. aere, qui comprimatur primo in CA, CUI BA, ICQ VE C A, Sic Cub- dupla DA, de BA Cuberiplas astuma- EUF D C, aequalis DB; EUM DFI aequalis DC; Sc DR. Cubdupla DC; AUCANEUT AO, AII, AK; criangu Jum ACD, est Sparium aequiualens; decurlum a cubo AD, dum le tC- ducita BA; ex triangulum ADFI, eA criangulum aequinalens, decurtum ab eodem tubo, dum le reducit à CA, Per PFOP, 228. POrrO comprel- lo C A, est ad compressionem BA, ve1. 2d 2. Pet PFOP. 225. _229. igirur in eadet proporrione (UnF MOTUSi