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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 414, page id 851387705:0434
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ARITEIMETIC A
PxOP. CX
LLL. CXCl.
Corollarium.
RsO, Si Paralleloerammo auferatur complementum semr par avouu, semi-
rabola, Semi-paraboloeides cubicale, biquadraticale 6C.) erit 53 43 33 .
eotius Paralleloeramm: sn eidem Paralleloerammo ejusmodi complementum,
addatur, erit acgregatum 3, 2, 5, 6c. ejusdem Parallelogramme.
Patet ex praecedente.
P ROP. CXIII
Corollarium.
Tem Cylindrus Conice excavatus, (vel Prisma Pyram) Conu
iseeri duos trientes. Et similiter de aliis excavationibus (mutatis mu-
tandis) siet pudoti
PALEt Ex PrOP. FFT. Subducta quippe serie Sccuncanorum, ex serie aequalium.
PROP. CXIV.
Theorema.
lSeries aequalium Muletetur serie sublecundanorum, uuotextiano-
norum, subguartanctum, etc. Residua crure torius Friens, Oua-
drans, Sumcasso, u. Sh ita augeatur, crunt Reoresata ejusdem quin-
que Frientes, serrem Ouadrantes, norem Ouintantes, ec. rel, du-
Dlum minus Friente, Ouadrante, Guintante, etc.
Rempe l perneunt.
Continuentur ad
EYR= VOa
VRF VCa
VR FY2a
VR = V3a
dc.
VR FVR
ErunE SuMME (PEr BTOP. 54.) AVR + Z AYR
Hoc est Retiduorum Cumma 1 - 3 =
Reprexatorum Turm2
PR OP. CZV.
Corellarium.
LC Si Paralleloerammo auferatur Parabola L’araboideraes Calte
Biquadraticale, 850. Residuum erit totius Friens, Quadrans, Qurt
tans, 13c. Sin addatur, erit Aeerecatum Paralleloerammi duplum minus
Triente, Duadrante, Duintante, (36.
SequituX ex Praced.
rel 64.
Paraboloeidis cubicalis, biquadraticalis, Coc. Residuum (puta Sehit pa-
Vlc + V3Oa
VL4V +l
V3R = 132a
V3R F
13
etc
V R F VR
AY IC + g+V3R.
L AOT. CXVI.
Theorema.
VAR = V0a
V+R F V+ Ta
VtR F V2a
NIR = Y 3a
VAR Z VAK
AVAR FE AVAK
ari modo judicandum eric in serieous a LCAL aum Sub.
ducendis rel addcs; Quarum quantitas BCCIt CX PrOP. 59.
Pura