# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/38293/text
# Catalogue record: 38293 — Nova Centrobaryca
# Incipit: [Fig.] Regula rigida descendit per 1B1C. 2B2C etc. Ex 1B1C progressa i
# Date: 1676-06
# Akademie-Ausgabe: AA VII,5 N. 087
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=38293&katnr=Cc2+1503
# AA VII,5: the volume in the Repositorium des Leibniz-Archivs (CC BY-NC 4.0): https://www.gwlb.de/leibniz/digitale-ressourcen/repositorium-des-leibniz-archivs/laa-bd-vii-5
# In the Akademie-Ausgabe: AA VII,5, p. 267 (PDF, Repositorium des Leibniz-Archivs, CC BY-NC 4.0): https://www.gwlb.de/fileadmin/Leibniz/repositorium-des-leibniz-archivs/VII5B.pdf#page=267
# Work: https://leibnizlegible.com/work/00068534
# Title: Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5
# Folios: Bl. 50r (from the shelfmark LH 37, 5 Bl. 50r°): 1 page, canvas 99, page ids 00068534:0099 to 00068534:0099
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068534&page=99
# Lines: 29 recognised on 1 of 1 pages, mean confidence 0.92
# 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.
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# 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 50r — 00068534:0099
# Source image: https://digitale-sammlungen.gwlb.de/content/00068534/jpgs/default/00000099.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
Junii 1676
Ndon centiovaria.
regula rigida descendit per 1BiC. 2BrC et.
ex 1BIC progressa in 2B2D, ibi secum assumit
facta YB2C
1D2C, et sumil progred inatur ambo in 382D, ubi
rursus assum ta 2D3C cam ipsis fit 3B3C, quae pracedu
in 4D3D. et ita porm. Aio aream percursam viae centri gravitatis omnium 1B. C, 1DC
2D3C, 3D4C exc. in ut omnium summam ducta ABC ductae, aequari. Ac primus situe omnium
est 1B 1CED2C 2D3 C, 3DAC. Mumentum eorum CX AB est semper dem durapte motu, seu glticu
4B4C bisecta in E. centrum gravitatis cadet in rectam per E transenateri axi pa AA parvllelam, Et
via ergo centri gravitatis hujus rectae portio est. Novissimum punctum viae erit ipsa E. tunc enim omnes
in diectum jacebunt seu erunt in recta e, tantum ergo, primu opus est puncto vrae  id est centro gravitatis
primi status quod punctum G jam video fore in rea HGL. aream rC 1B+B4C eC, id est ipsacum rectam momentim
mobilis in primo situ, bilecante. et erir GE in AB4C+ huic aree. Hinc videtur data area semper dari biser
ctionem appluando bagmaream basi, seu dividendo aream per basin vitissim qui in binas partes aequales seca
notep; aream invenire potest. Sed hoc diligentius excutiendum, quod si verum est, sanc intrabile est.
Hhnc sequeretur innumeras novas fieri pose dimensiones. Sequeretur posse cocloeidem in binas partes aequales secar
geometriae, recta basi parallela. area quo ex quad. crculi pendet, per basin quae pendet ex eadem, divisa, quet
euit quantitas pure geomerrica. Cyclocides est Hres semicirculi. circulus est semicircum f. in semirad. seu cirum quadrans ind
Ergo semicireatus est semicircumf. in rad. Ergo eres semicirculi emit semieitrumf. in 2rad. duide persemicilcum f. fit
grad erit AB 3rad et BC  bisceabit cyclocidem. Jam ECE segmenta cyaloisqu aequatur figurae sinuum dugidi
adeoque ex circuliqua habetur, ex eadem habetur Triangulum EBC. ergo tr eorum summa. At haec cad hac semel habet
si vera nostra propositio quaelibet cur figura quadrabilis poterit, per
parallelas bisecari trisecari quadrosecari, in oclo selari parlles etc. Et contra quae bisecari potest potelit.
sod
videndum an aequatio fuir identica.
quadrari. jam spatium hyperbolicum sepe per parallelas nonne bisecari potest, adeoque et quadrari? ideo his
non fido. Si verum esset quod diximus posset arcus quidam circuli rectificari. Nam linea sinum