[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 103
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.91.
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The machine reads it as
- LTB. II. DE COMERESSO ET PEHSO.
- aneus duo quadeantes, cum du - quadeaEuM E A, ad quadeaCU F. C.
- CaNEUE AD, CD, AT, CF, ScC. ita id eR, vc 16. 2d 4. GF, demum ad
- VE excesuS LD, NID, sine aequales,
- itemque OT, MZ; dico lineam
- BDT, elle rectam; CUm CnIM. AD,
- CD, Anc aequales, irem AB, BC, item
- AT, CT, cerre TB, est perpendicu-
- laris, ve constat ex elementis;igitur
- punctum adductum B deleribicli-
- nea rectam, quod erar demonstrand.
- PROP. CL XT.
- Si chorda tensa diuidatur inaqua-
- lices, adducatur punctum divisio-
- nis, per excessus aequales, describit hy-
- 15. r4 perbolem: Sic enim cen(a AC, diui
- (a II AE, describANEUL ex A, & C,
- duo quadrances, (uD Ladiis AF, C F;
- cum ductis ex A, _ C, rectis, 2Tu-
- mantur verimque exceltus aequales;
- V. O. PR, SR; EIIIM FG, LC, eum
- THI, RHI; ee per puncta ROFL, du-
- cacur linea curua, hec est hyperbo-
- lare constat ex conicis: immo de-
- Ecribendae hyperbolae es praxis co-
- munis: aequi cunc punctum C, addu-
- citur per excessus aequales, ex hypo-
- cheli; igitur punctum hoc modo
- adductum, delcribic hyperbolam.
- PROP. CLZII.
- Sichorda, cuius viraque extremi-
- ras vtrimque immobiliter affixa est,
- deorsum incuruerur, format parabo-
- 6. 13. tam: V. 8. sic Chorda AF, 2fFXA VE
- dictum est in A F; SIC parabOla AOP,
- dividatur que applicata AE, in par-
- res quorliber aequales, v. 8. In 4.
- ducanturque quorlibet applicacae
- OP, NI, MI, _C. tum demitran-
- tur perpendiculares. HD, IC, OD;
- dico OF, else ad CM, in carione du-
- GO, Ve quadratum F A, 2d quadia-
- cum EB, id elt, rE 16. ad 9. itaque (2
- OE, SIC 16. HD, exit 15. IC, 12. PB,
- 7. haec omnia constant ex conicis:
- Porro his politis, iam rettac ve de-
- monstremus, chordam, cuius vera-
- que extremitas in Ceu horizentali
- immobilirer aftixa est, propria gr2-
- uitaris ri, _ nilu, deortum in p2-
- rabolam curuari; quod enim dubi-
- tanter cantum alleruie Calileus,
- hic demonstrandum est: sic itaque
- chorda in Sicu horicontali AZ, Cu-
- ius veraque extremitas A, dc Z, im-
- mobilicer aftixa sic, deortum haud
- dubie grauitat, per prop. 153. CedFis. 165
- inaequaliter in omnibus punctis
- mediae chorda F A; maxiime veLO
- in E; nempe est cenrrum granicaris
- cominune: adde quod racio rectis
- habenda est, nempe cum F, ita de-
- (CendaE, DE CIFCA CCNELUM A, im-
- mobile, Cegmencum P. A, deortum
- trahat, habet maius inomentum,
- Qua C; PUIHE AILLCIL MOICHCA L2-
- tione rectis, ve dictantia; v. 9. SIE
- E A, dupla CA, mOmenEUIM F, est
- duplum momenti C; catione reco
- ponderis, momenta lune ve lonoi-
- cudines chordarum, igicur rarione
- Ponderis, momencum F, est du-
- Dlum momenti C, isieur ratione
- rectis simul ec ponderis; momen-
- CUM F, est quadruplum momenti
- C, id est ; VE quadTaTI L A, 2d
- quadratum C R; igitus omnia pun-
- ctanilii communi concurrune, ad
- morum puncti E; quia OA CCHETUMI
- commune, de proprer Rexibilicatenr
- chorda, omnia puncta AE, CONCUL-
- plicata L. A, _ FD; vel ve quadca- eune ad mocum puncti C; quia est
- eU EA, ad quadcacum FD, id est,
- centrum commune legmenti FA;
- F16, 24 1, GL, rer D elle ad GH, rE iremque omnit legmenti AC; adt
- MOtM.
Cite
[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 103. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0189?run=74