[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 182
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: 0.89.
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The machine reads it as
- et
- P H YSTC X.
- TR AOTAFVS
- aum HI, per reductione est reerian-
- gulum, cuius alterum latus, circa
- angulum rectum, sIC VEHIX, alce.
- rum vero sic spacium; hinc eoca vis
- acguisita per reductionem a bOC2
- IEA, CA VEMIXEuS cuneUS; cuiuS
- ba(5 Sic rectangulum aequale pri-
- mo triangulo, quod reprae sentat
- vim acquilitam a puncto R, alti-
- cudo vero (ICKA; altera vero Fa-
- cies sic planum parabolicum HL. A:
- Hinc vides vim cylindri censi ha-
- beri in cuneo rectilineo; plani re-
- ro crianguli Ten (I, IN MIXTO: PExTC
- rea hinc habecur proportio virium
- acquilitarum; ex his etiam habes
- aquationem plani, de Colidi; sic
- enim planum FL, X Colidum, pris-
- Eis AS. IA FEDBL A; quod si diuidacur
- per planum AI. D, ec planum FL,
- per lectionem parabolicam FZL,
- ducaneur quorlibet plana parallela
- MOP, OFIC, ecc. iremque linea
- P2rallela MO, OFL, e c. dico esse
- perfectam aequarionem: nam pri-
- mo, planum AL. D ica diuidir pris-
- in2 praedictum, vepyramis ABL D
- Sc Cubdupla alterius Colidi Ceu py-
- ramidos ALDEE; Sic parabola
- FZL ica dinidie planum FL; ve
- triangulum ixrum PAL, Sic Cub,
- duplum alterius ixeiFLF: Secun-
- do, criangula parallela RZP, IKC,
- SRO, ALB, Cunt in ratione dupli.
- caca alcicudinis pyramidis AL BD;
- V. 3. GI ALB ST16.SRO etiE 9. IKC,
- 4. RXP, 1. Ica Ce habene lineae
- MX, OZ; NT, AC; nempc (I AL.
- AC 16. NF, erit 9. OZ, 4. MIX. 1
- cerrio, ve se habent crapezia
- NISRI, GIKII, MKXO, cum trian-
- gulo FDE, ica le habene linex
- CL, ZFI, YQ, CUM FF,; d v criar
- Bulum FFD, est 16. craperium
- NDXR, 15. CFAKI, 12. NIIR5, 7.
- Eo
- ica linca FF. est 16, YO, 15. ZLL, 12.
- FL,7. Querco, re le habent lcomen-
- c2 pyramidis ABLD, divila per
- plana pacallela ABL, ica se habene
- Leomenca trianouli mixti PAL, di-
- uisi per parallelas FE; v. 8. SIC Py-
- raIIS ABLD, 64. pyramis SROD
- Cxic 27. TKCD, 8. RXPD, 1nica
- Piorlus criangulum mixeum ALF
- exic 64. FITF, 27. CZF, 8. MZF, 1.
- hinc eorum prilmd exit 192 Coli-
- dM VeTO, LeU PyFaMIS ALDEF, 128.
- quae eodem modo diniderur, per
- plana, quo criangulum mixtum
- FEL, ve paret ex dictis; hinc li pla-
- NUIM FL SIE192. Q FAL. 3 64. FFL,
- 128. NL, eric 45. TIL, LL. ANTL,
- 37. GL, CNIE 96 GALZ, 56. ZFIL;
- 40. denigne MIL, 144. MAL X, 62.
- ZOL, S1. denique FFLT, 117 FFH2
- 88. FF C7, 47. haec in gratiam EyrO-
- num addere placuic.
- PROP. CCLX X XLX.
- Silinea, vel cylindrus census in
- arcum circularem, sit diversa longi-
- endinis, sed ejusdem crassicudinis; es
- tensionis, cum alio, porest determinari
- proporiio virium nisus.
- Primo, vis nilus exeremi punctis
- veriusque cxlindei aequalis est, ini-
- tio reductionis, in veroque; sic enim
- AE, lonsicudo maioris cxlindri, 5ig. 430
- FEH(I IN CIECULAEEI AFCUI ADF; SIF
- AC longiendo minoris, aque vensi,
- in AD; equidem singularis vis nilus
- puncti F, est aequalio singutari nisui
- puncti C; est enim aequalis rerius-
- que rensio; quia camen cora censio
- AE concurric ad adducendum F,
- _ tora centio AC, ad ad ducendum
- C; idem dico de aliis punctis, cerre
- cum sic eadem proportio caularum,
- ex effectuum, per aX. 4. ex COnmu-
- ni adductione AE, relultar visnisus
- C
Cite
[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 182. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0268?run=74