# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068126:0133 # Permalink to this reading: https://leibnizlegible.com/page/00068126:0133?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 2 # Folio 67r, page id 00068126:0133 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 66v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068126&page=133 # Source image: https://digitale-sammlungen.gwlb.de/content/00068126/jpgs/default/00000133.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 112 lines, status machine # Lines: 112 recognised, mean confidence 0.81 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. XX = 9+e X + gFC: 4 A yy = XX) + q. ex - q e: 4 (yy) -(Vr-1+ Ep ppfinet 2a = q+e quod e seu ut bb ad 2erseu ntb X = 9: 28 C- p y= seC. pp b: 2C blad sec pp. scunt b FR = C:29 9- P FZ-y C. b. Sqp rada sunt dabsissa perta quaoit ase auctae oe micuam itaque difercunae radionum aX - a XX = yV seu AO, et y, OW 2a9 + =aC- 499+ 29 er ee 2a9F2aC4- 294- 2a9e) a e et y = Yabb, ia ea a 49.D lrgugno 44 jam bb: q= a. et fiet y = 1 a ax 2 px =yy 1t sit y O at X∞LqC sit 9,9 et e3, fiet X, 6. sit a, B 48- 8 36 48- X 16 in ellips: alterum in axo it quidem ambo aequam assignari poseriit luc A13. 1312 proportio motystalis vocdiitatum verte 2M. 1D = dr. 2b3M = Ba: Y at sibisonpe A 12. BE, 12 distaatia eorum sit ipsu ordinga XW est latus rectum (3 LCA. Ergoplaneta ra dis tantia media seu orce medium arithme mri BA et est distanlian pro exemplo dF3 45 A. FE, CA F 2, P0:2 b BE∞6b-9y. Ce, o B a latus rectam est 72:9 = BE, 9 latue rectum a,. O3M,Y O = 9.2- e.2 a = bb: 9 pondeant. BG axis minor suts prestoctionalis meremendis abscitsqrum ita q pncta du eratur vuum u proptortionalis inerementis ubscitrumta OA = F9: + P: 2 b = 199- ec M- qur F3M qur P= OD = C3M - F FR: OR:: F3M; C3M P= 2r -9 Ob angulix. 2MZM H rectum sunt rarac MR = b: 29 (94. pP yy 2D3H 1M2MO = 2M3MO SCK= ba dx dar dee pp: p CoMcur- VF F3M = q hianguli similia 2M2D3a, FQ3M, OH 3M 2DEF conatus centrifugns = aa DD. 2Y3 ROM, 5 FM, 4 GH G.C f L 15. 110 BHG Ma M912: 110 QR 4: 3510 5: 3510 OH 5: Hio Fa) 4: siO FZ ME. MF 2M G vis ut conatus descendendi dr seu 2M2d: 2D3M (Ba:Y: 2M3M, .. See-pp : b: 2Trqur d semper ddr aequatur summae lin casu levitatis enus orculatione Harmonica concurrentis) vel Rifferentiae (in casus gravitatis) solicitationis paracentricae a gravilite eut levitare in Ellipsi est gcavitas et dupli conatus centrifugi 2D2F conatus centrifugus = aaDB: 27t 2m G eonatius descendendi in Ellipsi . = 2466. 24+ e: = a .: +9. nam aq- 99- ee sit tparaden ax yy inhae casu ynt a aqu- +xx = qu suu ∞AXX; D se quod vide nus 4+29c40 29+2e-a sit a =5 a. fity = Za Generaliter ergo insectionecomea Calus rectum est ordinatin apperenta qau ad axem per in folo Aga +299- a4 =q0 na9 99- ee. Duneetipseos pnctum plus quarta parte lateris recti distat a foco nad vertex propiar ploquarta parte lateris recti dista nam ejus distentia a foco est a utque autem rectum est 4+ e04- e et que: 2p 9te. que. 49 seu 29p 1+e. sin qpe si essit que: = 9+ e. 9:+G parobola verum ubi ambet sunt incinitae gere, dissrimen ipsis incompammbili Hyparholuns