De Locis Solidis Secunda Divinatio Geometrica, fol. 68
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: 0.88.
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The machine reads it as
- 68
- VINCENTIL VIVIANL DE LOCIS SOLIDI
- uni DA aequale cA quadrato segmenei C B absCIHII CX ARC ab ordimatim
- ducta AC, cum reliquo quadrato B D semirecti lateris. Ouod primo
- Oltendendum crac.
- Sit modo ramUS D C lupra OrdinataM FI, _E COnCIPIaTT CD produ.
- etus ad alteram partem vique ad Parabolam in A, e ex C, D, A, Ordin
- 20. primi nentur ad axem, quae in figura. Frit erBo recta C.B act BFL ZVE quadrNTIM
- AC ad CH, vel vi quadracum CD ad
- DFI (in Similibus crianoulis ADC, C.D
- HI) quare tres CB, DB, EIB sunc in ca.
- dem ratione continua, licu, e iplarum
- difereHEa CD, DHI. Ouamobrem.
- quadratum C B ad B D est ve qua.
- dratum DB ad BHI, _ ve quadrarum
- CD ad DH, _ duo simul CB, BI
- 2d duo simul D B, B FL, ve rnum.
- CD ad vnum DEI, vel vernum DA
- ad vrum D C; sed permurando duo
- simul C B, BD aequalia superius demonstrata sune vnico quadrato ran
- D A intra ordinatam FD L, ergo _ duo simul D B, BFT guadrato cami
- DC supra eandem ordinacum sunc requalia. Ouod secunco erac demon.
- strandum.
- Insuper de quadratum rami D F ordinatim ducti xequatur rectarieiilo sub
- DB in DF rectum latus, sed eA D B dimidium D F, ergo idem quadra-
- tum DF aequatur duobus quadraris DB, hoc cA quadrato Pegmenti axis
- DB cum quadrato semirecti DB. Duod supererat demonstxandum.
- Hinc Locus praedictarum porentium est ad concauum, Parabolae piope
- sIX _C.
- Ex hac Le se otere mechiodus toluendi sequens
- u e dd uc e
- R O P
- Atis, vertice axis, (5 semirecto latere, Ld ad
- in plano per puncta desoribere.
- det
- ET describendae Parabolae axis AB, vertex B, de semirectum latus M
- BA. oporcet iplam Parabolam tuco, ac prompre in plato per pun-
- eta descrivere.
- Lrigatur ex B ips Despenencuats, a aeuats BC, Mcaueue
- ad axem quorcunque ordinatae AD, F F, C FI _c. de junctis lubtensis
- CA, CF, CO _C. ex A termino semirecti cransuersim appliceneur ipsae
- aliasonales vlque ad proprids or dinacds: nem pe CC in AH, C A in AB.
- C F in
- COnICo
Cite
De Locis Solidis Secunda Divinatio Geometrica, fol. 68. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0260?run=74