# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/85138403X:0053
# Permalink to this reading: https://leibnizlegible.com/page/85138403X:0053?run=74
# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 37, page id 85138403X:0053
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=53
# Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000053.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.86
# 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.

DF CTCLOIDC
ER P; sIVC VE ZB L =, = R P ad Z R~ P: HOC CA, (PrOPTeT B
2R DZ  2R P, )uC 32, RP2 28(3∞ + 2572p
3ZR D+= 2BR3F
ad =X3 P. (910d 5 46, 87. Suscepimus osendendum.) Flt aurem
ER P momencum annuli ex es convertione semicirculi: FrgO d
ERP3 =LB F3 P eB momencum solidi ex dicta convertione ceri-
excloidis (circa AF) respectu ejuldem CP. Ouod momeneum (1
per solidi magnirudinem Z RP= (Per 5 24) dividatur, prodibit
P m
228R 2
15p distuneia ceneri gravicatis dicti solidi (ex con-
versione semiercloidis circa A F) a recta CF: (adeoque
T28 R2
25Pejuldem cencri distancid a re. Ta BB.)
203. Si vero incelligntur idem Semiereloidis planum circa
C F converri; momencum solidi inde Facti respectu A F recta
(Proocer maonitudinum ex distanciarum reciprocationem,) idem
Plane erir acque momentum jam inventum solidi ex ejuldem
plani circa A F conversione, respectu rectX C F, (LE TUPFAS64
et 89 dictum est:) nemDe,  R P 3 =F P P. Duod momenEu, Si
ver magnicudinem dicti solidi dividatur, hoc elt, Per E P un
X P(Per 585) Prodibic 45 P= - 522 X2
54 P =384 R2 R, disanTIA CCNCKI Gr2
vicatis istius Colidi a recta A F. (ve
distancia a BG.)
9F= + T28R =
54P= - 38482 ejusde
204. Possune haec eadem irem inferri ex 5 90. Cum enim Pa-
tio momenti Polidi ex convertione Semiepcloidis, ad MOeNEUM
Tolidi ex conrectione Semicirculi, circa A F uc axemm, respectu
C Fuc linex aequilibrii; vel, circa C F uc axem, respectu A L
ut jineae aequilibrii; ibidem esse ostendieur, uE Ba F 2 C~ + 3
R. P ad =RE P; hocCA, (PFOPICEBD=
7O2, e C+ = ZB1+ + R3
ZRP3 =R P13RIP
RP2 = 2 XP, Per d
6RP= = SR. P, ) Ut, ZRP +- 2 6B2. P dd
ER P; (omnino uE SuPEA S 2O2:) Hlabentur inde cum solidoeu
momenta, cum cenerorum gravitaris distanciae a respectiris aequi-
dibrii lineis, eodem plane modo quo 5 102, 103.
205. Sed e simul colligitur cum momencum (respectu recta
AF) cum centri orarieatis distantia, solidi cujus omnia plana
Cunc ipsa Z2Y rectangula, hoc est solidi cxlindrici balin habencis
semi