# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1066518432:0333 # Permalink to this reading: https://leibnizlegible.com/page/1066518432:0333?run=74 # Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182) # Folio 305, page id 1066518432:0333 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=333 # Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000333.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.93 # 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. DE VLRTBUS ET MOTFBUS COREORUM. L. 1B. II. 305 semissis complementi praememorati ansuli, applicato ad los arithmicae sub- tansentem. Cirare M descendere incipiat a quiete in recta verticali MX, cui FiB. 126. alia AO ad angulos rectos aptata (ic; in hac AO capiatur M A, GuX Graritatem unitormem exponat, ac descriptis centro M interrallo MA quadrante circuli II. A et hyperbola sequilatera IRK, necnON 105. mica NIL9, cujus Cubtansens requet radium quadrantis relsemi- latus transrerlum MPhyperbolxe; per hyperbole et quadrantis pun- ctum lasatur tansens communis LV, quae equidistans erit ip(iM A. Tum etiam per quodris quadrantis punctum L. ducatur L. NV Pa- rallela AO 105. micx occurrens in puncto N, de recta ALP radio ML producto occurrens in P, per quod punctum ducatur inluper PO aequidistans MA et l08. micx occurrens in puncto Q, litque ad- huc NO ordinata l08.micae per punctum H ducta. Dein Aat POr- ro in recta indefniTa MX lEGIENEUm ME =MO, et SC ubique respectire; eritque ductis per puncta ec I. rectis LCF, LS Ea- diis MA ex MIrespectire parallelis, communis carum interfectio D in scala celeritatum acquisitarum ND X, adeo quidem, ut mobi- de postquam spatium MF. perlaplum fuerit, in termino F hujus Spatii acquisirerit celeritatem ED vet MS. F’actaque ubique RF tertia proportionali post rectas FC et FD, punctum F erit in sca- la resistentiarum aeris MFX, quae scala etiam erit scala solicitationum acceleratricium mobilis cadentis in recta M X, Scd quatenus ca re- tertur ad axem AX, verlus quem curra MFX conrexa est; nam, quia FF, (CU FD: FC, exponit resictentiam medii in puncto F. _ EC =MA graritatem uniformem, exponet FCs omnino Colicitatio. nem acceleratricem in puncto eodem E, ut alibi (5. 48F.) jam di- ctum est. Psitur ductis es parallela FC et ab ea elemento spatii Fe distante; alr parallela DI productae in a, ex Turtum in R, per punctum quadrantis, secta Ap, et per p linea pas xequidistante PO; ac denique ordinata no distantia 00 = Fe distante ab altera NO, in qua NVO SE VO certia proportionalis ad IM ee NO; e his politis juxta alibi (5. 4.84.) octensa, tantum probandum super- ek, F6. De, seu rec lum LC momentum solicitationis acceleratri- eis FC aquari rec. IO F, D. a d, leu momento celeritatis F. D casu mobilis ex altitudine MF. acquisitae. Ouo probato reliqua (ponte lua obtine- buntur, scilicet exprestio temporis descensus in spatio ME, et na- TUITA CUEYATUM NDZ, MVX, eCC. Demonstr. I. EA (secundum hypochelin) EG: L F (= EG: F D.