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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 19, page id 85138403X:0035
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LCLOADF
DF
coridem De, vE F ad X40. Qc. Unde colligirur series Y, 6, 30,
240, 630, dc. (Arich. Intur. PP. 133.) Qux non alia elt quam
LClC L L 23 105 945.
es 2, 21 33 48218+ eC, In Teriem Geomerrice propoiriona-
lium 2, 4, 16, 64, 256, ecc, respectire dusta: Adeoque series
5
35H3eC+
in hanc. item inter polatam X, 234, 8, 16, 32, Qc, respectire ducta,
exhibebic illa primâ interpolata L, 2 H, 6, 5 1, 30, 23 1, 140,
_EC. FE PFOPEerCA, AICUE F act 6, 30,140, EC, exhibene rationes quas
habene rectarum omnium Y Z Porestoces secunda, Quarca, sexEa,
ec. dd Tocidem D=, D4, D6, _C: Sic Y ad 2 1, 3= R, 256 ∞3
e
Sec, extribebune raciones quas habent carundem rectarum YZ
Poreltates prima, certia, quinca, ecc, ad coridem D, D
_c. Fr speciarim (quod noltra jam interelt) omnes cubi rectarum
Y2, ad roridem D sre cubos FC, rationem habebune F ad 3=I.
sive uc 3 ad 32 ∞. Quod luscepimus probandum.
6T. POrrO, quum calcutuS ad 5 52, 52,53,54, (ubi agitur de Cencrum
cenero gravitaris solidorum ex convertione Semicreloidis circa gravicatis
rectam C F) omissus sir, _ calculi cantum Fundamenta remoriora semisolidi
extribica: libec hic calculum illum aliquarenus extibere, juxta cirea C P.
mechodum quam 555 intinuari. Fc primo quidem perpende-
mus conrertionem Frianguliv F P, deinde Praperii V Br P. Re-
ctam aucem in Priangulo op, adeoque e Cr in Fraperio, dice-
mus B; ejusque aliquotam parrem infinire exieuam b; adeoque
VP eric Bt B, vel 2 B. Icem Z Y, dicemus Y; ejusque partem
infinice exiouam, y. Ec rectam F Y, hoc est alcicudinem, vel
etiam dictantiam ab A F, dicemus A; ejusque parrem intinite
exiguam, a. Rectam denique 2Z, dicemus L.
62. Elis poluis; suxponimus in Friangulo o F p intinitas rectas
Parallelas arithmerice proportionales, à verrice P ad balin usque
D ContinuataS, O, Fb, 2b, 3 b, _C, ulque ad B earum maximam,
quae es iplaop. Hxe autem rectae, dum circa rectam FC cOn-
vercuntur, describune coridem annulos planos (Talcem bujusmo-
di annulorum parres similes) aequales cocidem rectangulis paral-
leloorammis a rectis iplis sux convertuntur, et peripheriis quae
earum punctis mediis describuneur, contentis; quas peripherias,
sive inceoras sre dimidias, cum sint radiis proportionales, per
ip (05 racios detignabimus, nemDC O3 L 7, 27, 37, _C, usque ad
hoc est Z Y radiOrUM IIIOTUM MaXIUML. Frune isitur Plana
I1
F18. T