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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
# Folio 454, page id 851708439:0478
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lL G F B R A.
C ap. C. +1.
TV. Vel (hujus 10c0) 3, 5, 23 93 FE, 23, 25, 27, (0, vel) 19, 27 4
6
8, 20, 12, 24, _c. Nempe (neglectis 20, ejusque mulciplicibus) inchoando. a
3 (PrOPTET 22 = F9 Y 3) addiris concinue 2; _, quocies summa excurrit ulera
29 (Crelum Lunarem inceorum) abjiciendo r0. Acque hoc cousque doncc oc
currat expolicus Cfeli Lunaris numerus; puta 14. (Nec Docest haec Series ultra
loca 29 excurrere.)
V. Cumque illic OccurraL Z4, lOCO 26; cui respondet in Serie tertia numerus
6322 == 6300 (= 4 20 X 15) + 22: Frit 6322 Periodi Fuliana annus qualitus.
Similiter, Tumpris hoc ordine Crelis; Indictionum, Solari, Lunari.
P. Propter Creli Indictionum annum 7; Incellipitur Series 7, 22, 37 52789c.
additis continue 15.
II. Vel (hujus l0co) 7, 223 9, 24, FF, 26, 89c. Nempe, rejectis, ex sum-
ma 28, quories hunc numerum excedit: Idque consque falcem donec exposits
Creli Solaris numeruS, PuTa 223 OccurraT. Oui cum hic occurrat loco secundo;
cuiresponder in serie prima item 22; procedendum ut in exemplo prOxime PrX.
cedente.
Trem, Cumpris hoc ordine Crelis; Lunari, Indictionum, Solari.
T. Propter Cyeli Lunaris numerum 4; Incellisatur series X43 33, 52, 896.
Addicis continue 19; hoc cA, 15 F 4.
TI. Vel (hujus loco) 143 3, 7, TE, (0, vel ) 25, 4, 890. Nempe (neglectis
25) concinue addiris 4; ec, uvi summa excrescir ulera 15 (erelum Indictionum
incegrum) abjiciendo es: Pousque Paltem donec occurrat expolitus Creli Indi-
etionum numerus; putd 7.
TII. Cumque hic numerus occurrat loco certio; cui in serie prima respondet
52: Incelligenda serios 52, 337, 622, 890. additis continue 285 = F9X Lf: hoc
elt 28 X 10,
IV. Vel (hujus loco) 24, 2, 6, 27, 26, 21, 26, 3, 8, 43,, 28, 23, (0, vet)
287 5, 20, 25, 20, 25, 29 77 X2, 27, 22,86. Nempe (neslectis 28, ejulque
mulciplis) inchoando a 24 (propter 52 = 28 f 24) addicis concinue5; et
quocies summa exereseit alera 28 (inceorum Cyclum Solarem) abjiciendo 28. Id.
que cousque donce occurrat expositus Cyeli Solarisnumerus; puta 22.
V. Cumque hic numerus 22, loco 23 conspiciatur; cui relpondet in serie ter-
tia, numerus 6322 = 6270 (= 285 X 22) + 52: Prichie, numerus in Perio.
do fuliana quaeticuS.
Denique, Sumptis hoc ordine Cyclis; Indictionum, Funari, Solari.
L. Propier Cyeli Indictionum numerum Z: Incetlisenda eAt Lexies 7, 22, 37,52,
e3c. additis COnFInUC 25.
IP. Vet (hujus 10co) 7, 3, 18, 24) 20, 6, 8c. Nempe, quories summa ex
cedit x9. (Cyclum Lunarem) abjiciendo r9. Aique hoc eousque, donec occurrat
expolicus Creli Lumaris numerus; Duca 24. Oui cum hric conspiciatur loco
quarco, cni in prima serie responder 52; procedendum uc in exemplo proxime
praecedente.
Eadem methodo procedendum, (I, ultra hostres Cyclos, etiam quartus, quintIS,
pluretre accederent; et quareretur Annus Periodi ex omnibus composiia.
Hlincelicitur (inter alia) haec breris Legula.
T. Expotico numero Cyeli Solaris (vel illius excessui supra 19, Si hunc nume
rum eXCCdaE,) addamur continue 9, (abjectis semper FG, quories ultra hunc nu-
merum excurrituI,) donce occurrat expolitus Cyeli Lunaris numorus. Sie habe.
tur series numerorum in Cyelo Lunari, exposiro Cyeli Solaris numero (in fuc.
celtiris periodis recurrenti) respondent
LI. Per numerum locorum hujus seriei, uno minus, mulcipticentur 28, et Facto
addatur exposinis Crcli Solaris numerus. Sic habetur numerus in Periodo Diony.
Tiana qualiber, urrisque simul Ciyclorum Solaris de Lumaris numeris expolitis re
spondens.
25, Crel dividacur numerus ille per i5;) et Reliduo CAre Subductionis sire
Diritio.
Lal. Lx invento illo Cseli Dionstian numero, abselatu Guolles lieii porell