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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 17, page id 85138403X:0033
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# Lines: 40 recognised, mean confidence 0.91
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# After the first blank line: the recognised lines in reading order, one per line.

DECrCLC+
FC craneunce plario elliprico F CB, quod plano F C c recte in-
Sistat; cum denique plano bali parallelo en; reliquaque constru-
aneur ut in schemite. Dico primo, Cylindri porrionem plano
elliprico abscistam F SCc C, per omnia aequari semianuio ex-
Polico, dempra curvacura. Nempe rectam C c aequari semicir-
culo a puncto C descripeo; e timiliter rectas Y v, 2G, (Tum
Deis ubiris inbase Cplindri respectiris punctis Y2,) semiperiphe-
riis punctorum similirer polirorum in semiannulo; item X E Pa-
rallelogrammum, semisuperficiei cxlindricae recta Y Z in annu
lo descripex; Ex sic ubique. Nec aliter differe haec porrio Cy
lindrica ab illo semionnulo, quam quod semisuperticies cylin-
dricae omnes rectis Y2 in annulo descripex, in porrione Cy
lindei in planum expandantur; adeoque haec Cxlindriportio
cantondem ralet at que Pemiannulus dempea curvitace.
57. Centrum autem graricatis in expolica Cplindri portione,
SIc colligitur. Si ponamus Cc lineam aequilibrii (adeoque pla-
num huic perpendicularirer intiltens, aequilibrii planu;) e-
rune, cum alcirudines X0 ad invicem, uc rectae F Y; cum di-
Ctanciae ab aeguilibrii plano, uc YC; adeoque, quae ab ipsis f-
UnE, uE recangula F X C, hoc est, ur quadrata YZ; quae quidem
in iptas Y2 ducta, hoc est, Facta ex basis in alticudinem ex di-
Panciam concinuo ductu, hoc ett, Planorum Y E MOMeNEA re-
spectu recta C C, sune ut cubi rectarum Y 2. (POr momentum
aurem, cum hic, cum pastum alibi, incelliso factum ex maenitu-
dine in distinciam ab aequilibrii plano ducta: UE guX mOmenEIS
Eune proporcionalia.) Sune aurem omnes cubi rectarum Y 2, ad
coridem cubos rectae C F; hoc eM, momentum F YvE CC
porrionis lemierlindri in suo lico, ad momentum Parallelexipedi
aequealci balin habeneis quadratum F C ex puncto F Suspen; UE
32d32∞; C ubi per x 2d D incelligo rationem circuli ad qua-
deatum diametri, sive uc Pad 4 D;) quod mox probibituE
563; adeoque, ad momencum Cylindri parallelepipedo illi in-
Ecripei similiter (u(zen(, uc 3 dd 22; (substicuris scilicer circu-
lis pro diamerri quadratis:) FE PTODECreA, IOMENEUM FEECC
Poctionis incegri Cslindri in suosicu, ad momencum Cplindei
sic Tuspen(, uE 3 ad 16. Elt aurem magnicudo ad magnicudi-
nem, uc x ad 2. Frgo, distancia ad diltancia, uc 3 2d 8. Si
irague diridatur F C In 8, uE sIE C 8 ad C F vc 3 ad 8; e du
CaEUF