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# 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 21, page id 85138403X:0037
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.78
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# After the first blank line: the recognised lines in reading order, one per line.

DE
CCtL
susdem Rgurx circa A F respectu rectxe C F, aEque CIFCA C F rC
spectu rectae A F (proecer magnicudinum ex diltanciarum reci-
Procarionem) cancundem erit. Adeoque hinc habetur rum di-
luncia ceneri gravicatis semisolidi ex semicscloidis semiconver
sione circa C L, a recta A li; cum inceori ilius solidi iptisi
MuM GTAVICAEIS CenLIUM, urFore Guod in C F Lum eAle cOn.
AaE.
65. Quancum aurem ad distontiam ceneri gravicatis ejuldem
Semisolidi (ex semiconrertione Pemicycloidis circa C F) ab
ip(a C F: Cmili methodo inveluisonda erir. Cum enim Coli-
dum ex semiconrerlione Trianguli vF p circa C F, sic 299re02
cum seriei 0by, Fb y, 4b y, 9b y, _C, usque ad BY, (VE luPFa S
62:) Et Colidum ex semiconvertione Traperii V Br P circa ean-
dem C F Sic aopreontum seriei BZ + OZ +oB +00, BZ + b Z
+yBFby, BZ F 2b2+ 2V B+ 4 by, BZ + 3 bZ + 3yB
+ 9by, ecc (uc Cupra 863.) Si veraque series ducacur in seriemt
Puarum respectire distantiarum a recta C F; (nempe illa, in O,
Y, 27, 37, ecusque ad Y; et haec, In Z +0, 2 + y,  + 27,
At 37 ecc ulque ad Z FY;) habebitur series momentorum eo-
rundem solidorum respectu linex aequilibrii C F. Lnde et 19
gresati ad aggreoatum ratio; hoc est, momenri cemisolidi ex
Triangulo, ad monencum semisolidi ex Trapezio (circa C F
converso) respectu rectae C F. Nempe
Ob y y
E
ec usque ad
B2Z +0bZ2 +0yBZ F ob yZ + 0y y BF 0b y y
BZZ + TbZZ + 27BZ +2 byZF ryy B. + Tbyy.
B2Z F2bZZ + 478Z +8b7 Z + 4y y BF 8byY.
BZZ +3bZZ 4 67 B2F 18b y2 + 9y7B+276y7.
+
B.
eec in insinitum ulque ad
+ 2TB2 + 2BYZ + Y7 B + BTT.
Summa = ABYY ad SummaABZZ F 1, aBZZ + Z ATBZ + Z ABYZ +  arrBt Z ABTY.
sive = ABYY
EItuE
rp
AveuC 327
ad
a
ac
ABZZ.
Z2
+ E ABYZ
+ 2YZ
18 2Z +20YZ
+ 2 ABY3
4
F
2X7
72Y
HIOc est, uc 3 quadraca rectae Z Y, ad 18 quadrata rect 2 2.
una cum 20 rectangulis Z. Z Y, et 7 quadratis 2 Y. Quod cum
ubique tiac: uc habeatur ratio momenti Colidi ex lemiconvertio
ne omnium Traperiorum, hoc est Semercloidis, ad momeneum
solide