# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0483 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0483?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 425, page id 779785487:0483 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=483 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000483.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine # Lines: 90 recognised, mean confidence 0.91 # 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. L. 1B. II. DE AL PER AFEON F. ipsi inest, itemque ratione luminis, quam habet ad olrimum punctum, loneiendo radii coenosii porest: Sit enim radius ad libicum, cuins quodlibee punctum allumatur; lIE- que lumen in co, ve 81. V. g. sIF- que distantia, à cenero sphaerx, 6. digirorum; quadrerur 6. habes 36. licque ve 1. 2d 81. ica 36. 2d 1916. ex hoc exeraharur radix qua- dratas Scilicet 43. = circirer, dico longicudinem radii elie 43. 4. quod Facile demonstro; namr ve L. 2d 81. ica lumen vicimi puncti, ad lu- men puncti allumpri; quia lummen vlcimi puncti re c. Cemper Luppo- nicur, Ced ve lumen vlcimi puncti ad lumen puncti alturspri, id est, vE r. ad 81. ica quadracum dictan- cix puncti altumpri, a CenTIO Iphaera, ad quadracum dictantiae vicimi puncti, ab eodem cenEIO; aequi distancia puncti altumpri est 6. igieur eius quadracum 36. led VE 1. ad 8F. Ica 36. 2d 1916. igIEUE 2916. est quadracum diltaucia vicimi puncti, a centro (phaerx; igitur radix quadrara 1916. Ccilicer 43. . est dictanria vlcimi puncti a centro sphaerae; igitur longicudo radii: idem het altumpro quolibee alio puncto, cuius non modo in- centio luminis, verum eriam di- Sancia a CCMErO SpharE cognica Cupponitur: hinc etiam cognolce cur distantia puncti allumpei, ab vlcimo puncto. turlongicudo, assampri cuiustibet. pun- cti cognosci potest intesio luminis, vel ratio luminis, quam habet ad 2lti- mum punctum sphaera; V. 8. SIELa- dius luminis, cuius lonsiendo sIc Tom. IT. 60. digitorum; altumatur pun- etum, cuius distancia d CenETO Sphaerx sic 20. digitorum; quadra verumque, habebis 3600. e 400. igicur lic re 400. 2d 3600. ita 1. ad 9. dico lumen puncti allumpri esse VE 9. nam ve 1. 2d9. ita quadra- rum distanciae puncti altumpei, a cenrro, ad quadearum distantiae vlcimi puncti; ab eodem cencro; id est, ica 400. 2d 3600. Sed lumi- na lunc ve quadraca dictantiarum. permucando; si vero punctum al- Cumprum dicter rantum rno digito. lumen eric in co vE 3600. PROD. LZ Z Z V L. Dici non porest quantum sit lu men primi puncti radii, nisi scia- tur, quot punctis radins constet; Nempe cum primum punctum di- Aec tancum vno puncto, et cum lumina linc re quadraca diltantia- EIII a CCHTTO, permurandO; VE habeatur racio luminum, debet haberi rario praedictorum quadra- eorum; sed re habeaneur quadra- ta, debene haberi radices; igitue numerus punctorum ex quibus ea- dius constat; dum puncta audis, Phylica incellige. PROP. LX XZVII. Tlinc radius infinitis punctis phy- sicis non constat: Alioquin lumen, quod primo puncto inest, estee infinicum; quod facile probacur; quia intinice Cuperaret lumen vlci- ini puncti, quod est dererminatae perfectionis, ve paret; igieur nul- la cNet horum Luinu PFOPOE- tio; infiniei, Scilicet ad Gnitum; quod dictis Eupea repugnat; led haec Cune Facilia; dum legis pun- ILFLR ctu PROP. LX Z X V Dalo rario luminis, cujus cognosci-