# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0500 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0500?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 442, page id 779785487:0500 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=500 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000500.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 84 lines, status machine # Lines: 84 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. 4. 4. 2 DAZSTCA YR ACT. IV. lelipipedi, parallelipipeda; hinc aegnales, sed dissimiles: Patet ex Pacis improprie spheram actiuita. ris appello illam, quae Sphaera non est, led hoc nomine, quia iam du. dum rlus inualuit, omnem lumi- nis diftutionem, sphaeram actiui- caris appello. PROP. CXXXIII. Trianeulum lucidum habet sphae– ram actinicaris trianculo simili ter- minatam: Sic enim triangulum 618. 20. lucidum AD L, Cicque BE dif- Fusi radii maxima exrentio; haud dubie LF cric aequalis, lunt enim AED, AFD, aequalia, &e 2b dictis; v. 8. S lic circulus luci- dus xequalis quadraro, haud du- bie sphaera illius, circulo; huius rero, quadratO TCTHVIMATME, VE constat: v. 9. Sc Ephaera actinica- eis circuli, cuius radius (IE AD, e centrum A; CE quadrarum luci. FIG, LF. dum, aequale circulo; vadius il- lius (phaerae actiniraris erit AC; ita re quadrarum FF, sic xquale cie- culo AB C: idem dico de omni alia houra; hinc eadius circuli eAt lonsior radio quadrari, sc- cundum perpendiculum; quod in latus cadic; breuior camen secun- dum diagonalem; v. 8. AD est eodem lucido; producatur E F. maior AC, sed minOE AE: hinc in G, dueatuE IIDO, dico quod lucidum aget in C, quod eodem modo probatur, quo lu- Pra PEOP. : 3. Probara Fuie; hinc terraedri lucidi sphaera aetinica- eis cerraedri superticie rermina- tur: idem prorlus dico de aliis planis, e Colidis, pro quibus eadem rario milicat; Elinc da- ra sphaera actiuicatis Aoura, Facile lucidi figura habebicur, et vicisim. PROP CZZZIV. Cylindri lucidi sphara actinita ris terminatur superficie cxlindrica es coni, conica; Quod Certe co- etem inodo probatur; vnde lu- pra; sic elliplis elliprica; _ Om - ne aliud Agura genus ex luci do, in sphaeram actinicaris Era- ducitur. Sphaera aesmitatis. lucidorum dusbotm. sect dissimiluum. Sootot. re est diamerer circuli lucidi ad diameerum quadrari lucidi X qualis, ita est diameter circuli Sphaera actinitaris illius; 2d dia- metrum quadrari spharae activi- caris huius; hinc li rectangulum. lucidum in arcum lunerur, incurua- tur etiam proportionalicer rectan- gulum sphaera actiuiraris, in his nulla ditticultas cse ridetur. DROP. CXXZVI. Si detur annulus lucidus. tan cumdem luminis non diffundii a parte cana, quancum a connexa licet diameter circuli non sit mi- nor radio sphaerae actinicaris: Sit. enim annutus cenrio A, cuius ca uicatis orbis sIC C A C P; CON- Fis 27. UCXILALIS VCTO TILDR; AEFa- dius sptarae actiuicatis, ab orbe connexo diftula, DE, acque adeo. tora (phaera, seu Eparimm diffi Sionis lic corona, cuius ciroulus. CaunS GIE FIL D R; ConexUS. reco LR. F. S; videtur quod can- EHIBdEBdd PR C 16 CXZR1.