Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 115r
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: 0.82.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
One image of two folio pages side by side, registered by the library under both labels (also fol. 116v); this page is its right half.
The machine reads it as
- sit C centrum Ellinseos vel Hyperbolae,
- arcus DFE, biseretur DE chorda in G, et
- jungatur CGmit occurrens tangentes in
- D et E, occurrant sibi in F, jungatur cF
- ea bisecabit subtensam DE in G
- sit e centrum sectionis lonicae,
- axis AB, verte arcus CHM.
- ejus subtensa GM CM tangentes
- CF, MF. jungatur KF, ostendendum
- est eam bisecare CM in G
- sit KB AB, X, fit BC, 7 =
- S HEax - a XX) sit KB, Z AK est q
- fiet X = q -Z Ergo fiet
- y= d2ag- 2aZ 99 (2a92
- y = 1(ag - = 22) yy = aq- 2
- fit fydus = 4 fZdZ. Et
- fit X d dz: du = y: 4Z = BC: BP
- ergo si PC perpendiculanis ad CF
- erit BP = KB YB: BC=YE. (
- = y: Z AI
- RE = KB + BF - TE. et
- fiet RE = Z + yy - TC e
- a2
- seu TE7 + yy = KF
- ce d 22=
- EF
- et rursus
- W + vD - KE
- EF
- 9
- v
- = a W
- EF = EF (Z + gy - (4 Z)KE, : y
- EF = Z W + VD - a WKE : v
- sed a ZZ + yy = aq - a WIo +v
- aq = a WE)
- y
- v
- 99 - Z. RE = y vigu v Z HE- 999 - qoMC
- fit RE = (v-y) 44G: (Z - y1)
- qu - WKE ∞
- EF = ag - a Z KE,: y
- EF = aq - (v- 9) aZ9 : (vZ - y10)
- seu EF = (aq sv2 = aququo (= a Z90 + a29y, gu. 1pu
- EF = aqu’ = a9Z,: vz - yu
- RE: EF = KEIES ADM KE ad EF in ratione ML PE
- comoita em a et et 4io a
- 2G
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 115r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0227?run=74