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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 PROCI
ASSTONF.
u.
bus immorandum elle non duxi. Sed HecM Jam caltuis Mecarum operario.
num rationes aperui, cum non sint adeo incricata, qui ponue e operacionum
Praelercim quod sequente capie cin L n ao POE PrOOCMa-
cum huc spectantium cradirionem demonltraciram aggreus s LIII.
libris depromi; quibus LC CXETCCTC POLCTHNE tIrOneS. NOBIS seceMCudis pluri-
Prichmericarum Luperius expolicarum natura Patis incellecta, vel a tirone, modo
advertente, latis percipi; unde e ipse inibi se exerceri non graracim feret: (ed
Frogressio Arithmetuu hascus Traantur.
Vo Prosrellionis Arichmeriex doclluam plenius aperiam, libet eam sequen-
Siguem aurem male habeat, qu ise acS S. quationum vel ordinationes
vel etiam Analyses, achibeam, priusquam illarum eraditionem docueriim, (2de7.
que methodi leses violatas cauletur;) Doceric ille cum hoc, tum sequenS CaDUE
EUM CTIaM Cap. 32, ec 33, vel pentus omitere, rel lalcem intermitere, donec
guacionum doetrinam cradidero; de qual ellent poltpolita repuitare
Duod aurem aegredior quo rectius tiac, haec lunco quibus su uturus sym.
bola.
Terminus minimus, quem primum appello, sic A; maximus, guem ulcimum
appello, sit V; communis exceltus F. Numerus Terminorum, F. Terminorum
quorumris ab invicem distantia, D. Fxtremorum (maximi et minimi) agoresa
cum Z = A f. V. corundem ditterentia X = V = A. Terminorum omnium sum-
ma vel 2goregatum S. Singuli autem, a minimo inchoando, dicantur a, b, 6, d, C, _c.
d maximo vero inchoando, dieantur an B, y S, e _c. Numeros, qui cujustibet
termini distantiam a primo indicant, Endibes appello, puta 0, 1, 2, 3, c. Alis
pramittis, leguunUE propotitioned.
tibus propolitionibus succincte, sed et perspicue cradere.
d
E Si continux proprestionis prichmetiex primus terminus seu minimus sE A.
erit secundus A E TerEIHS A L 2 E quarEuS A f: ZH, e sic deinceps quilibet
cerminus continue augendus est communi exceltu lemel addito. Nempe illud
postulas Arichimetica progrestionis detinicio. Puta a = A. b = a + F. c = A
 2 F _c.
2 Constat igitur terminus quilibet, ex termino primo seu minimo, cum com-
muni exceltu cocies addito, quot terminus ille sradibus a primo dictat, (ipso pri
mOnOn compuTaLO,) sire (quod tancundem est) cum excestu communi in In.
dicem ducto. Sequitur haec ex praecedente. Cum enim pro quolibet distan.
rix oradu exceltus lemet additur; tories addendus erit, quor lune distantix pra-
dus. Puta, terminus extuS f= A L DF = A L 5F
3 Dato igitur termino primo, cum communi tixcestu, de termini cujusvis n
Fienari Indice, sive distantia d primo; A, F, D; invenitur terminus altignatus.
Nemve A + D E. per praced. quod enim illie cheoremalice altienacus, huc pro.
blematice proponitur.
A3