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# Piece: https://leibnizlegible.com/api/records/62811/text
# Catalogue record: 62811 — [Aufz. zur Berechnung der Stelle eines Planeten auf seiner elliptischen Bahn]
# Akademie-Ausgabe: AA VIII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=62811&katnr=60331
# Work: https://leibnizlegible.com/work/00068534
# Title: Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5
# Folios: Bl. 114 (from the shelfmark LH 37, 5 Bl. 114): 2 pages, canvases 223–224, page ids 00068534:0223 to 00068534:0224
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068534&page=223
# Lines: 44 recognised on 1 of 2 pages, mean confidence 0.78
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 114r — 00068534:0223
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 115v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068534/jpgs/default/00000223.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
(1) planeta circa solem A, fertur in Ellipsi D PEXI, ita
ut areae PACA PACp sint temporibus proportionales.
irca ejus axen
(2)Centro B allipseos, diametro ejus majoro vel Ax, pX describatur
circulus pdXF. Et LC ordinata
Ellipseo) ad axem, producatur dum circudo occurrat in K
erunt areae circulares PAKP temporibus proportionales
Nam LC ad LH, ut BE ad Bd. Ergo PL CP ad PLKp
ut BE ad Bd. Rursus AL C ad ALK ut LC ad LK seu ut BE ad BC
ergo PLCP + ALC id est PACP, ad PLKP + A ALK id est ad PAL p
ut B ad BE ad Bd
(3)at (3) dato tempore quaritur locus planetae, seu data area PACp, quaeritur
angulus pAC, vel aliud quiddam determinans sit radius circuli BP, sit Y. BC, C
BEsit C, AB sit f decter locus planetae C ponatur datus, adeoque BL, X et By et L, LC, y. est
autem LK = fr - XX et y = eFrr. x: Y et PBKP s sit BK = a 
fiet sector PAF  PBK P = ra : 2 et triangulum ABK = LK, AB: 2 =
Vrr = XX. f: 2 ergo Area PAKp = ra + fYYr XX, : 2 = ZY
Somex
et fiet Yysdx + f Vir = 2YZ seu rdx  - Xdx = 2rdz
X
srrxx
seu rix  dx = 2r errx dZ unde rVX -ZnX = 2Y (srr. dX dq. sint PX vel 27
sinus frr-XX et PF vrlX Q sint tempora  erit PTZ = prrxx dque = 2rX (XX, : 2+
quia dx r-x a,: 2Y = dque hinc quaeratur  per seriem ex X,  valo multi-
Ver - xx =  fit do = - 2X x  sir x
plicetur per r-X. jedies prodiens summetur. fiet secies = e dq 2rZ seu tempori.
Trrx
est hac aequatione doncatur radix per seriem, ut habeatur X per L
 (e at v = a + e a v + C. e1 a V  + C. p. 116. 2 13 17 +  al e. 2. 3 B. 4 4
ax YI = 2r dZ
vn
. 2. 3
seu q =  x + p
Vir n
1,23. 4
 set rr- XE 2 rE X - C r xx + C. C 1 p. 4 - P. E. 1. 8- 2. pre 67 6 exr vr a3, pe 8, 
2.3
+ 12.3. +.
Sit exai folse) rruxx = = = + +    +  Z.  5 H + 2. 2E arr 2
er
F.1.2
Er
2
inna Dro cu.

## Folio 114v — 00068534:0224
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 115r); this page is its left half.
# No recognised text on this page (recognized).