# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0263 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0263?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 205, page id 779785487:0263 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=263 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000263.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine # Lines: 90 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. LIB. II. DE SON15. libet plauum in ratione criplicata bet plani paralleli DC, Eccaniis alticudinum, certe si ducaeur ba- Sis in quarcam partem alcirudinis, habebitur dictns COnUS MIZEUS, quo sublato ex peilinare, residuum dabit dictam poramidem; est Crg0 AP tempUS, AC primaria reloci. ta5, Cemiparabola FDC velocieas acquisica, sparium dicta prranis mixta; Ced haec curua, Scilicer pa- tabola, in hanc rem non quadcat; Cc enim sectiO KIHIM, CnEque AI IF aequales, CrIE RM, ad IFI NE 3. ad 4. Si HIM sic parabolica; igieur re IHI ad RM, ita dicta prramis ad Trustum Colidum comprehenlum PlaniS HIFIM SE FDO, quod ta- men dici non porest, VE PaTCE Ex analy(; SIE CHIML FD 4. FC 6, icem AF, 6. eric rectangulum DC 24. quod si ducacur in Lubduplam FA, nimirum in 3. habebitE FOTIIM prilina ,2. erie eriam erilineum DPC 8. quod (i ducatur in lubqua- druplam DC, nimirum 1 =. habe- bicur conns mixrus, de quo Cupea, Scilicet 12. X hoc Tubrracto dicto prilmari, restat pyramis mixta, de qua Cupra, Scilicet 60. Frustum a1t- tem prilmaris lecti per planuum RIHM est Cubquadruplum ciusdem prilmaris, ioirur 18. e Fructum di cti coni mixri eodem plano rese- AtU CONFIMCE LAHEI Z. IGIEUIE aliud Frustum exit 11. -. quo de- eracto ex altero Frusto prilinarris, nimirum ex 54. restac Frustum m2 - ius dicta pyramidis, Scilicet, 42. 2. led vE TFL, 2d HM, id est 4. 2d 3. Ita 60. 2d 45. igicur dictum py- ramidis Frustum nimirum 42 = CA minus iusto: Flinc DO debec elo alia curua quam parabola, re dixi, emius haec sic propriecas linou- lais ve seomenca balis cuiusti prisiva, SInE ve Frulta dictx pora- midis; v. 9. sic planuum HK, SIE IV, aqualis AEM, Segmenta balIS Tune LVHI; exic isituE vE IV ad VHI. ita Frustum dextrum dictxe porami- dis ad Fruscum Cinictrum; idem di- co allumpro quoliber alio plano lecanre; ec sic in dieta pyramide habebitur iusta progressio praetari MOTS, CFIEque AF FempUS, TOCZ preamis sparium, quodlibee pla- num parallelum plano FDG velo- citas dato rempore acquilita; co- dem prorlusmodo alix Speciesmon cus sub hoc lccundo genere con- reneae explicari debene, v. 9. in Fu- nependulo, lic tempus ribracionis dari Funependuli AF, primaria ve- lociras AC, acqnilIEa PEF FOLAIA acceleracionem eriangulU IXELMM FDO, sic quodlibet planum paral- LOlU KIFIM, SIEqUCDE IHI ad RMI, ita sinus torus ad sinum comple- menci arcus decurtr a Funependu- l0, _ verocus quadrancis arCUS, ae arcum decurtu, IEa FOTA PVI2- nis praedicta ad Fructum sinistrum Felectrm a planO RIEIM; illa: au- cerr linea curua, qua in hanc rem quadrar, luo a nobis loco dileu- tietur; haeC porro traduei poltume in figuram planam; Ci enim sIc py- ramis rectilinca eraducieur in pa- tabOlam FAC, in qua cempus est AF, relociras acquisita FC, (pa FIs: 46. tium area lemiparabola PAG; in hac enim comparata cum crianou. IO AFEI, eadem velocicarum, cem- porum ex spariorum proxortio ser- uatur, quae habetur in praetata pr. ramido rectilinca, COMPATAEA CUM prilmare Cupra commemoraro; ( VerO aITUIAEUE FP, quae sie ad FFL VE 2. ad 3. tiarque vet hyperbolaq