[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 49
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: 0.81.
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The machine reads it as
- MX X
- ut X g
- l. B C Y. VI.
- = = . ergO PNXMG = Z =MDXZO.
- vel PH. Z O:: CAD. MC::) OD. ZP. OMapEOpter est
- PNXZP = Z QX OD. Unde palam est curram D N N esse hy. F18. 44.
- perbolam, cujus a lympTori L. N, L Z.
- XI. NotetuE; C xequario sit my = x y = X X; cadem ha-
- bebitur hyperbola; tunc solum puncta C 2d ParteS D M sumUnEuE.
- Ouin e si xe quario BIC x y = m y = = X x; purcta C uIETA M
- capiendo, proveniet hyperbola, huic ipsi conjusata.
- XII. Sit Friangulum B D F; _ linea D NINI calis, ut ducta ut-
- cunque R Had BD Parallela (quae lineas BF, DF, DNN secet FI6. 45.
- punctis R, C, N) connexaque recta DH; sIt perpecuo D AI prOPOr-
- tione media inter RN, NVC; erit linea D N N hyporbola.
- Per D duCaTE D R ad D B perpendicularis (secanS ipTam R NV in F)
- de sic F HIad D B parallela; rocentur que B = b; DE = d; F1I
- =f; tuM DO = x; _ON = y; Estque d. f:: X =OF;
- X fX. Y
- unde-
- = -= X X -. yy = 2 F C X C LV ,s. DC g F GN9
- bX
- =DN9. Porro est d. b:: FC. OR: : d --- X.R C = b - , Un-
- a
- de RN = b , 1 y. Et ided b g-
- NO =DN9 =.
- 2 fx
- d
- Xe
- -+ - y y = RN X
- 3 - + X X - ) - y y. quareby-
- d
- 4
- bX
- 2f.. B X X. quod SI BONatuE m = = F. ) - b5 erit m y - ∞ y =
- M
- XX. Unde liquer D NNI esse hyperbolam, qualis habetur in pex-
- cedente determinata,
- Not. Si angulus DC. N rectus Fueric, eranescente rumf = o erie
Cite
[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 49. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0261?run=74