[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 179
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
- LIB. II. DE COMPRESSO ET TENSO.
- PROP. CCLZZIX.
- Decrescit tensio cylindri tensi in
- arcum circularem, in ipsa reductio.
- ne, in eadem proporcione, in qua
- decrescit curnitas: Nempe exlindrus.
- minus curuus, minus secedie a
- non curuo; id est a FrsO; id est a
- non censo; igirur est minus ten-
- Tus: v. 8. Cylindeus AB, census in
- 18. 50. ANC, est minus curuus quam FCN-
- Tus in AKD; quia ANC minus re-
- cedir a linea recta AB, quam AHD;
- 2 qua quo plus recedic, plus cur-
- uatur, ee plus cenditur; minus
- vero concra, quo minus ab illa
- recedir; igitur decrelcie tensio,
- ve curuicas arcus, in ipla sedu-
- ctione.
- PROD. CCL ZZ X
- Curnitas decrescit, in ea propor-
- tione, in qua circuli peripheria cres.
- 18. 50. Cil: v. 5. CE quadrans AFC, incurue-
- cur in Pemicirculum ADF; d qua-
- deans AFD, in Lemicirculum AHIE;
- acque ica in infinicum; hand dubie
- crelcit continuo curuicas; idque in
- ea proportione, in qua decrelcie
- circuli peripheria; nempe COT2
- curuicas, qua distribuitur (ve sic
- Loguar) Foci ACO, distribuieur
- EOcI AIED; qui cum sic (ubduplus
- ACC, Cingulis parribus dupla cur-
- uicas competie; igitur in eadem
- Droportione curuicas crescit, in
- qua circulus decrescit; igitur per
- cacionem oppolicam, in eadem
- curnicas decrelcie, in qua circulus
- crelcir; circulus inquam in peri-
- Pheria.
- PB OP. CCLXZ XY
- Determinari potest velocitas ac-
- guisira, peracta soilicet reductione,
- ab exrremo puncto arcus curnati
- inxta praedictam hyporhesim: Sie
- CtII V. 8. RECUS AKD, CurNatuSFIS. 50.
- aequalicer; SIC linea DCB, quam
- Ccilicer delcribit extremum pun-
- ctum D; moru accelerato, verbi
- gratia dato rempore; sic prima vis
- morus. Ccu nilus, Ccu priina ve-
- IOcIFAS, VEEF, duCaTUIE FO, dico
- relocicarem a puncto D acquisitam.
- in Cuo moru, per curuam DB, esse
- ve criangulum EFO; est enim ea-
- dem racio cum ilta, quam Cupra
- de reductione extremi puncti chor-
- dae cenlae Fuse Paris ex polLimuS; ve
- enim lingula puncta chorda cenla
- aequaliter cenduneur, ica ec linou
- La aECUS AKD; dc ve lingula nilu
- communi adduCunE CXEFCMUI
- punctum, in chorda, ita de in ac-
- cu; e venilus singulorum pun-
- ctorum inirio lunc ve distancia a
- puncto immobili in chorda cenlar
- ita d in aecu; v. 9. vis nilus pun-
- cti L. est ad vim nilus puncti B,
- POlt InCUITIaTIONEM IN AHD, vi
- LA, ad BA; Linc polco quod Sin-
- sula puncta arcus AHD aeque cito
- reducancur, de quo insia, veloci-
- caces acquisua à Singulis, TunE ve
- distantia à centro, vel immobili
- puncto; v. 9. allumatur punctum
- L craductum in I, Sic L A Cubdu-
- Pla LB; SIE ES, Tubdupta FF; duca-
- cue SO; dico rriangulum ESO elle
- relocirarem acquilicam à puncto
- R, tempore quo inregra sc redu-
- atio; sed ve criangulum F. SO.
- ad FFO, IF2 ES, ad FF, vel L A ad
- B A.
- ttor fuiteta ptateet utbad tenst
- aeque loredneuntur: PEODATUE, quiA
- Si punctum C, de punctum N, V. 8.
- HIOR
- DROP, CCLXXXII
Cite
[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 179. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0265?run=74