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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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ARTTHMETIC
FOD. XXVII
laciorulorio prima, secunda, cerria, et quarta, ad circulum quarcum quatex tumprum,
iem ut x ad 3. Pt SC deincePS.
Norandum hic, quod coca figura Spiralis, prima circulacione delcripra, in le-
cunda circulatione repetituT; e quae describitur secunda, reperitur in cerria; et
sic deinceps. Adeoque r. 8. in quaruor circulationibus, figura prima (quae intra
Spiralem primam, prima circulatione descriptam, concinetur) quater, secunda
quae inter Spiralem primam ec secundam sacet) cer, rerria (quae intor Spiralem
secundam ee tertiam jacer) bis, quarta lemel deleribitur: ideoque tigura prima
quater, secunda ter, certia bis, e quarra semel Tumpra, simul aequantur crienei cir-
culi quarri guater sumpri, nempe juxta numerum circulationum. Le pariter de
quoeris circulationibus judicandum est, habira semper numeri circulationum con-
Aderatione.
P RO P. XXVII
Corollarium.
quie
etii oriem
L autem Spiralis ulira circulationem primam sed non duabus inteeris
 continuetur, figura Spiralis su descripta (bis sumpto quod bis describitur)
aequabitur trienti tam intesri circuli contermini, quam ejusdem continuationis
supra circulum interrum.
Nam incerea dum describitur Figura Spiratis N A TM, describitur etiam figura
circularis aveta P P YM; netipe circulus inceex P P, cum adjuncto eriam seclore
EMT.
P ROP. XXVTTI.
Corollarium.
E PPariter, si Spiralis continuetur per circulationes duas, tres, quatuor,
L aut plures interras, cum additamento: feura Spiralis suc descripta (repe-
tita totres qualibet parte quoties describitur,) aequabitur erienti tam inteeri
circuli conterminibis, ter, quater, aut saepius sumpti (pronumero nempe inte-
erarum circulationum,) quam etiam additamenti sive sectoris adjuncti.
Ouia nempe dum figura illa Spiralis (a circumducta recta crescente) deseri-
bicur, cories deseribitur, (a recta circumducta aquabili) circulus concerminus, ac
que insuper additamencum.
eLOC.