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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 183, page id 851387705:0203
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54 X R, Z: 2
Cita
GEOMETRTC
EXL
x
c
1C
(Data.
C
T, S: R
Sica
RCHGUI LeIC CalUS, Parun
auc nihit pandume, ultra Guo
dacum elt.
6 7, 2
C A P. XXXV.
Fuclidis Flementum quintum Arithmetice demon-
stratur.
DRiusquam Rationum doctrinam dimiccam, libet ee Fuclidis Flementum quin-
L cum, quod de Racionibus ee Proporcionibus agit breviter explicare. Cujus qui
dem ucilicas in cota pastin Machel nemini vel lericer exercicaco non inno-
tescit.
Est aurem illud Flementum quintum, ut de toca rationum Doctrina, Arich-
mecica porius quam Geometrica, (Calcem prouc Arichmetices tines nunc dicrum
ampliari TolenE, ut non Tolos, numeros integros, Led e Fractos, e Lurdos reci-
Diane, corangue AIOCbEX, de Arichmerica (UE LOGUUnEUT) SpeciOTa vel Symbo-
liex praxin.) Oud quod de ipta Arichmetica cora, A Srictius spectetur, vix
aliud videacur quam Racionum doctrina. TPlique NuMeTI ratIOnum cOtidem in
dicia quarum communis consequens est F, Onitas. Obi enim L, SIve OnITaS
habetur pro quantitate exposita; reliqui omnes numeri (live inceori, live Fracti,
sive etiam surdi) sunc rationum coridem aliarum ad expoticam quancicacem indi-
ces sire exponentes.
Cur aurem Lineis quam Numeris racionum doctrinam tadere maluerint ve.
teres; causa fuit non una. Parrim scilicet, quod illi, rix alios numeros quam
Inceoros admiserine; (nec enim materiam Arichmericam sicut Greomerricam, in
intinicum dirisibilem admiserunt, sed in unitare siltendum roluere;) adeoque
non pariter Numeris acque Lineis rationes omnes denotari posle perspexerint; LC
propierca doetrina alioqui universalis, specimen laltem in lineis cradere malue.
runt, eamque prout opus tuerit, inde in aliam quamris maceriam rationum ca-
DaCem PEO re nata transterre. Maxime autem uti mihi falcem videtur, quia non
modo methodus Symbolica nondum obtinuerat, sed ne quidem tigura numerariae,
quae jam pastim ulicatae sunc, ab Indis invenca, fuerunt incroduetae; ut non niti
difficulter admodum numerorum praxin exercere raluerint. Licet revera, ip(a
sire linearum, sive figurarum planarum, vel etiam solidarum, aliarumre quanci-
cacum, per liceras alphabetieas detignatio, (puta A, B, _c. quibus designantUE
in cexcu anguli lineare sc. in schemate conspecta,) Cymtolica designatio non
minus dici pocerie, quam ubi limilibus (ymbolis quancitates (non tam in charca
conspectae, quam) mente concepta indicantur.
Ocuc tueric; nihil impedir quin nos, uc religuam Racionum doctrinam, ita
speciacim cocum illud quod Elemenco quinco de racionibus craditur, Arichmetice
(adeoque simpliciter de nivertaliter) cractamus, quod ve opus fueric (Eicur ee
Arichmecica universa) cuiris subjecto poterie accommodari.
Desi