# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0493 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0493?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 435, page id 779785487:0493 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=493 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000493.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 89 lines, status machine # Lines: 89 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. LIB. II. DE ALZERA YTOHE. dearum B 8, ad quadeatum BNI; id est vE r. 2d 4. Pari modo lu- men in M; est ad lumen in pos ee quadrarum Bu, ad quadra- tum BM; idem dico de aliis Fa- diis: pauca haec adnocare rolui, de hac laminae admorae hypoche. Ei, quae Scieu diona nonneni- ni forre videbuneur: Ced iam la- minam remonco, rbi CaImeM vuUI, quod omist, adiunsero, scilicee propcer radiorum dittulionem, quae Fere in infinicum exrenditur, cum distrahantur radii, ita ve inteF radios, sic actu luminis priuatio; cerre in hac diffusione, lumina Lune in quadruplicara distancia- rum, permutando; nam catione superticierum, Ceu distractionis radiorum, Cune in duplicata, ia- rione vero lingulorum radiorum, Cune eriam in duplicaca; isieuE ratione veriulque, in quadrupli- cara, Ccilicer permurando; (I camen lumen corpus csler, lu- mina essene cantum in duplicata, VE Patet. PROD. CZVTI. Licet nulla lamina interpona- eur, radii, qui ab eodem puncto superficiei sphaera lucida prosicis euntur, inaeguales sunt: Sic enim punctum B Spiiaera lucida A, SIF TYX arcus vlcini circuli (phaeEE actinicacis; radii a puncto B pEO- Fecti CuneBH, BS, BT, BV, BZ, RC. nempe quodlibet pun- ctum splxrx lucidae in omnia e lingula puncta sphaera actiniraris 2gIC, per prop. 1II. acqui linex BN, BS, BT, ec. inxquales FUIME, VE PaceE; CA enim B H om- nium brenissima: POrrO PariO a priori, CuF (IF TAHEA BZ, quaM. cumuis minori lineae, inera (ph X ram lucidam respondeat, immo rui cancum puncto, E tangens est, inde ducitur, quod linca B Z, minus secedar a (phaerae lu- cidae cenero, quam BN; V. 8. Puncca y _ B a CCHTIO A aeque distane, igieur lumen aequeinten- Cum verique inest; idem dico de punctis Z, e s; Y eB; led in hoc nulia est disticultas. PROP. CXVTII. Diametri sphaerarum actiuitatis. sunt vc diametri sphararum luci- darum agne intensarum: Cum enim sic eadem caularum, e efte- ccuum proportio; cerre eadem est Ephaerarum activicaris, quae (phae- rarum lucidarum; nempe illa 2d effectu, hx vero ad caulam per- tinene; led si (phaerae proporrio- nales LUHE, diaCEEOS PFOPOETIO. nales elle necesse est; V. 8. SC F1S. 24. Sphaera lucida AB, cui respondet Sphaera actinicaris AD; sic alia Iphaera lucida AC, cui respondee sphaera actinicatis AF. ; CCrTC rE (phaera AB, est ad AD, ica, (phae- ra AC, est ad AF; igicuE ve Sphae Fa AB, ad AC, ica sphATA AD, ad A F; igitur ve radius AF, ad AC, iCa AV, ad AF. DROP. CXIZ. Tlinc bene reddieur ratio; cus quodlibet sphara lucidae punctum ex quolibet puncto videatur: Cun enim quoquoversim, vique ad vlrimam Ephaera luperticiem, r2- dios diffundat, cerre non mi- rum est, si ex illo puncto videatui, 2d quod radios emitrit: de ve ro inde omnino a posteriori (ve niume) evincicur, cadios diftundi a Lingulis