De Locis Solidis Secunda Divinatio Geometrica, fol. 107
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
- ADDEHDA LIBRO SECONVO.
- P R OBH.
- Ata quavis Fyperbola ABC, eusas ht centrum . se-
- midiamerer transversa DB, ac semidiamerri secundae
- conjucarae sint DP, D E quantum libet utrinque productae
- versus C, F: si inter convexum curvae ABC, e rectam
- EP, ductae fuerint quorcumque rectae TA, LC aequidistan-
- res ipsi semidiametro transversae DB. Dico, harum ordi-
- natarum quadrata ad assrecata quadratorum partium se-
- cundae diametri P F, inter hujus terminos, e ipsas ordina-
- tas contentarum, semper illam eamdemque rationem habe-
- re, quam habet datae Flyperbola diameter transversa, Cud
- ordinatae aequidistant, adt duplum sui recti lateris.
- Cal enim hajus EIyperbolae ABC semidiamerer traniverla D B P0-
- ceric duplum DL, vel D F Temiconjugata; jam per decimamno-
- nam Propolitionem Libri Sccundi hujus, constabit provolicum:
- Ouoniam in figura, quae ibi ad p28. 12. Libri Secundi, quadracum
- C. D ad duo liniul equalia quadraca C. A, C B, est ue semitransver-
- sum C D a duo simul lemirecta latera FIyperbola CFDF, vel uc la-
- cus eranlverlum ad duo simul recta lacera.
- Acli in hac Fyperbola
- ABC quadratum D BFueriE
- vel majus, vel minus duplo
- quadraei lacundae diametri
- D F. (manence haC D H)
- Donatur hoc loco, quod
- quadratum DO, SEPExCISC
- duplum quadrari D F; ec
- concipiatur alia IIy perbola
- MON concentrica dats
- ABC, e cujus eadem sIE
- secunda diamerer, conjugara eidem eransvetse DB; quaeq; iplasl A,
- LC secet in MI, N. Jam constat, ex secunda Propolicione Libri Pri-
- mi hujus, omnes ordinaeas ab his FIrperbolis proportionalicer di-
- vidi; ac ideo, e quadrata iplarum esse proportionalia; sed rario
- quadratorum IMI, DO, L N crea summas quadracorum P. L, IF 3
- HD, DF; E L, LF, est semper eadem aequalicatis, ut in ProPOlIE.
- XIX. Secundi hujus ostensum fuic; ergo ratio quoque quadratorum
- LA, DB, L. C. ersa eaIdem summas quadratorum, erie semiper ca-
- dem, sed ejuldem inaequalitaris.
- 20
- d
Cite
De Locis Solidis Secunda Divinatio Geometrica, fol. 107. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0299?run=74