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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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CaD. R dIL. SLKCLAMCLICA.
4 Si cerminus uleimus sic V; erie penulcimus = E; ancepenulcimus V - 21.
quarcus d tine V = 3 H.; de sic deinceps quilibet cerminus concinue minuendus
elt communi exccllui lemel derracto. Id enim postulat detinicio. Onanco enim
quilibet locus progrediendo augetur, canto recrocedendo quilibet minvITuT. Puta
2F, ec.
Conttac ipiuu urminus quiliber ex cermino marimo, dempro rorics excestu
communi, quoc terminus ille gradibus ab ulcimo distat: (iplo incerim ulcimo non
COMPULaTO.) per Praeced. Puta, sextUS d tine E = V = DH =V
1
S Dato isicur cermino maximo, cum exceltu communi, ee cermini cujulvis
allienaci diltancia ab ulcimo; V, E, D; invenitur cerminus altignatus. Nempe
V = DF. per praeced.
7 Duo termno quoris, cum excestu communi, de cujusris altignaci termini
majoris a daco dictancia, (puca f, D, F;) invenicur cerminus aTignacS. (UL 2.)
Nempe cories addendo excellum communem cermino caco, quot alInatIS a, daco
gractibus diltat. Puta i = f f. DF. = f F 3F. Nam per det. vel prop. T. Pro Lin-
sulis gradibus semel addendus elt communis exceltus.
8 Daro termino quoris, cum excellu communi, ee cujutris assignati minoris
diltancia a daco; (Puta f, D, F;) invenitur actignacus. (VE C. ) Nempe cories
auterendo exceltum communem, quoc altienacus d dato gractibus d. Itai. Puta
= 3F. Nam per det. vel prop. 4. pro lingulis gradibus semet
auterendus est communis excellus.
 Dato isieur exceltu communi, cum terminorum quorumvis ab invicem di-
Stancia; F, D; datur illorum cerminorum difterentia. (Dura f -- c: vel i - f.
nempe DE. per PrOP. Z et 8. C PUL I = f=DF = 3F. Per PTOD, 7. _ f = C
=DF = 3L. Per prOP. 8. cranspotiris seilicet urrobique aequationum cerminis.
20 Data vero terminorum quorumvis ditterencia, cum corundem ab inricem
diltaneta; (pura F = C, D;) dacur communis excestus L; Diridendo seilicet ditte.
reniam per diltanciam. Nam cum licu verbi Scaciam fc = DE, per Praceden.
tem; eric
=E
E2 Tiem data cerminorum quorumvis disterentia, CuM, COMMNI eXCCIU;
Cf = C, F:) dacur corundem distancia D; Dividendo seilicer disterentiam per com-
munem excestum. Nam Cum SIE (per pFOV. O. ) f = C == DF; exIE
=D.
22 POrTO; Termini duo quiliber, cum duobus aliis ejusdem proorettionis qui-
bustibet, in cacm ab invicem diltancia potici, habene ec eandem ditterentiam. Cum
enim per prop. 9. ditterencia lic DE; li urrobique aequalis tuc, non modo P COm-
munis excectus, sed de distantia D; erir eadem utrobique ditferentia D F. Puta
I an b, 6, d, C, 5, 3 exit 
Z2 Et Conra; Si eadem tic uirobique disterenria, eadem est de utrobique distan.
tia. Nam si cum exceltus communis E, cum diferentia DF, sE utrobique aquIa-
lis; erit urrobique aequalis D. PUFa an b, 6y c er f,   6 = a = f - di erunt
an c, e f, d, aequaliter remori.
T4 ErgO etiam; Si ex cerminis quorvis in concinua proprestione Arichmerica
consticuris, seligantur quorlibet in eadem continue
ab invicem dultancia; erune de li in Continua. PrO. a, B, C, d, 11 363l, C9 .
Prectione Arichmerica consticuri. Puca (I a, B, C, d, c.
(78i B, 2, ten  erunt item cum a, 6, 6, 8, 1  cum
=; cum a, d, 8, k, ; cum
in concinua progrectione Arichmecica consticuri. Nam
aqualibus concmue ditterentiis continue creteunen
Pet PrOP. 12
a
5 Ec contra; si ex termunto sla Ceutlle progredientibus, selecti quotlibet
concinue icem prosrediunur; aequalibus ab invicem distanciis sumpri lunes pex
DCOD. L3
26 Dato exceltii communi, elta HAMLIO LCTMLINOrUI, L, L: IVENIIuE extC
morum dilserencia, X. F.s enim exrremorum diltancia unitace minor, qua nu-
meruo rerminOcuI; D = F = 1. _t paret. E1EO, per 3. X =Y = A =DL
7 F.V