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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)
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De MuAIOAE CaD
Ci A P.
X3
Multiplicationis exercitium in Paralleloerammis Rectan-
sulis mensurandis, e invicem comparandis. Divi-
sionis in Paralle loerammis Rectansulis exercitium.
AISIC.
Deiusquam Mulciplicationis de Diritionis C quarum praxis superius osten(a est)
negorium dimittam; nec inurile Fortan eric, nec injucundum, pauca lubtexere
quibus urrinsque ucilicas innoreleat, acque incerim Geomerrix eum Prichmerica
tumma conjunctio percipiatur. Quamris enim Arichmerica, quae de Numeris agit,
Geometricas menturas per se non actingat; sed, propriis principiis nixa, neque
Gcometrix auxilio indisens, regulas abstractas tradie, omni numerabili pariter a0.
plicabiles; (objectum quippe simplicius ee latius nacta quam Geometria:) cum
tamen objectum Geometrix, riz. mentura, incra objecti Rrichmerices cerminos c.
dat, (quippe cujus partes numerantur;) non absre crii, Arichmerices exercicium
in re Creometrica poucis ostendere.
Hoc aurem, dum de Additione de Subductione rerba tecimus, parcius esimus
quia non masni cortanres videri poltic, lincam linex adjunsere, vel etiam demere,
dum utraque data (C. Pura, Elinex darae A B adjungere opOr
C reat lineam datam BC; vel datae AC daram BC auterre. Cun
tamen operi perticiendo aptata videmus eria successire proble.
Mata; neMPC PFOP. T. 2. 3. primi Euclidis. Illa autem provo-
siriones, cum sint pure Geometrica, polsune in cradicione Arichmeriea cuco omiui
Ouod aurem de Angulorum, Superticierum, aue Solidorum; Addicione vel Sub
ductione diei possie; Vel erie penitus Geometricum, neque ad calculum ommino
spectans; nempe si Anguli, superticies, aue corpord, non mucata adjunsantur.
uc, si dato Quadrato AB E D, ret AOFG, addendum esset Triangulum ABC
obi nihil reguirieur aliud quam iolorum in daco licu tabricam Gcomerricum.
Vel sicrbi caleulo opus lic, non solum Adduione aut Subduetione opus exies led
CFdiSLA SCIBhC COIItA Cic
Besee sclsCIBNBCO eis FZ CSB CSIBENL
1FItB SCII ECL BISCO CCISSC
i
NNLITIEC s
LNCe 121I et
L S.1t3t
1) rsdeBi
 .  233. eA cisp X H L0 P C
De COE S
e eec
ee plurimum Muluplicatione iiem vel Divitione: ubi nempe proporcionum ratio
hrabenda elt. Ve, si quaeratr Guactratum BC FTK, aequale quadratis AB F D _
ACBC dimnul Tumpris  vel Friangulum BCHI, aequale similibus ABC, AC P
Timul sumpris: Zue Si quaratur Cnacratum ABE D, aequale quadrato BCPF F
dempro quadrato AC F C vel Friangulum A B P, aquale iriansulo BC II dempro
erianouto AOF; cuibi prater tigurarum addirionem ex ablationem, CaLCH HICI
axoresari vel relidui cranstormatio requiritur. Ideoque de hujulmodi Additio-
nibus vel Ablacionibus, priusquam de Musciplicatione et Dirisione dixeramus,
non ita opportumum crat Verba LaCErE.
CC1 1 FI 131sOe
D
se