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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 297, page id 851387705:0317
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eROP.
De Fieuris planis jurta Indivisibilium methodum
considerandis.
rOpDono in limine (juXta BOHANMUIA CArAIICTH Scn
Indivisibilium) Llaltum Gubeibet quali ex intinitis lineis paralle-
lis conats. res Polus (quod csomallem) ex infinitis Paralle.
losrammis aeque altis; quorum quidem sinsulorum alcicudo 
corius alticudinis =, sive aliquota pars infinite parra; (esto enim a
nota numeri intiniti;) adeoque omnium sinul altitudo aequalis alti-
cudini Rourx.
Troris aurem modo res explicetur (sire per intinitas lineas parallelas, sive
d per intinita parallelramma aeque alta intinitis illis lineis interjecta) codem
res redibit. Nam Parallelosrammum cujus alcieudo supponitur intinite parra,
hoc est, nulla, (nam quantitas intinite parra perinde est acque non quanta,
rix aliud est quam linea. (In hoc falcem ditterune, quod linea haec supponituir
dilatabilis elle, live tancillam Calrem spillicudinem habere uc intinica mulciplica
tione cerram tandem alcicudinem sire lacicudinem possic acquirere, tantam nempe
a0d ille mos
loquendi in Carallerii mechodo de Indivisibilibus rideatur obrinuisle, parcim
etiam uc brericati contulamus,) Linearum pocius quam Parallelogrammorum no-
mine parces illas tigurarum infinice exiguas (sive altirudinis intinite exiguae)
non
non habetur; Obi aurem decerminatae alcicudinis instiruetur consideratio (quod
aliquando tet) exisux illius alcicudinis cousque ratio habenda erie, ut ea infi
nities mulciplicata cotam tigurae alcicudinem suupponatur acaequare.
e Prismatibus super illa plana constuis. Cmodo supponantur tantam sive
crassiciem sive altitudinem habere quanta est alicudinis illius fieurae quam
constituunt. Nam Cylindeus nullius alcicudinis, vel intinite exiguae, quid aliud
est quam Circulus. et Prilma, alcicudinis vel nullius vel intinice exiguae, perinde
acque planum cractari pocerit. Acque hoc jam Clarim ab initio monendum esse
duxi, ne lapius illud deinceps repetere necesse FOrcL.
Duod autem de Lineis es Paralleloerammis perinde nominandis, dictum est
intellieendum etiam erit de Circulis e Cylindrulis, vel etiam de Planis quibusvis
P ROF