# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0477
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0477?run=74
# 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 453, page id 851708439:0477
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=477
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000477.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

A Y C F B
Edem Compendiosius.
Ne aurem necelte sic series istiusmodi in grandioribus numeris conticere; id com.
Dendiolius sic lieri polL.
T. Propter Cyeli Solaris numerum 22, cujus Periodus est 28; intelligenda exie
series, ab 22 inchoaca: Nempe 22, 50, 78, 8c. continue addendo 28, hoc cM
29 + 9
TI. Vel (hujus 10c0) 37 12, 27 2F, F, 10, (d, (Vet) 29, 9, 18, 8, 27,7, 16,6.
75,5, 24 30. Nempe (neglectis semper F9) addicis concinue o, et quoties lunma
ultra 20 (integram Periodum Lunarem) excurrer, abjiciendo r9. (Or trabeatur
Annus CVeli Lunaris currencis, qui currentis cujusque Cyeli Solaris anno 22 rC-
(Dondeat.) FCque eo ulque continuanda haec series, donec expolitus Creli Lung.
ris NueTUS, PuIL 24, OcCurrat. (Non Posse aurem ulira lOCOS L9 excurrere quin
in seredibit; manifeltum clt.. )
TII. Cum expolicus Cycli Lunaris Numerus 14, Serici secunda loco F7e OcCur-
rat; id indicio elt, anno 22, Cveli Solaris 27 currentis, annum r4 Cveli Luna-
ris, convenire: Hloc est, Anno Periodi Tulianx 470 = 448 (=- 28X 16) + 22
Cungue hOC NON ILCTUM RECUETAL (pFOPier 28, e F9, numeros inter se primos
nisi postannos exinde elaplos532 = 2B x +9, _ Sic deinccps; (quae est Periodus
Dionyliana, ex Solari et Lunari compolita: ) Incellisenda erit leries, ab 470 (hoc
ClTS X3I, =5,) concinuo auemenio 532 progrediens; Nempe 470, 1002, 2534)
De
IV. Vel (hujus l0co) 5, F2, 4, +E, 3, 20, 27 9, F,8, (0, vel) 25, 7, 80. Nempe
(neclectis Numeri 25 mulciplicibus) a Numero s ordiendo, et continue addendo
;e, quoties lumma ulera 25 (inceoram Indictionum Periodum.) excurrit, ab
jiciendo 25. Fstque cousque continuanda haec series, doneC OCCUTTAL exPOTITS
Ercti Indictionum numerus, pura 7. CNon posse aurem ultra loca L5 exCUErerE,
quin in se redibic; constat.)
V. Cumque in serie quaria, expositus Cycli Indictionum numerus 7, lOcOF2 Oc.
currat, adeoque serici certix eidem loco respondeat; hoc cHt, numero 6322 = 5852
=532X FF) = 47O: Indicio est, Periodi Fuliana annum 6322, non modo Cy
eli Solaris esse annum 22, e Lunaris r4, (quod omnibus leriei certix commune
est,) Sed e Indictionis 7. Onod inrestisat crat propositum.
Idem similiter tiet, quocunque ordine sumantur Cycti, Duta, Lunari, Solari,
Indictionum.
I. Propter Cycli Lunarisannum F4, (cujus tota Periodus est F9;) Incellixenda
est Periodus ab T4 inchoata; Duta 24, 33, 52, e95. addendo continue r9.
II. Vel (hujus l0co) 14,5, 24 25, 6, 25, F6, 7, 26, 27, 8, 27, 18, 9, (0, vel)
28, 29, 10, I, 20, TF, 29 21, 129 3, 22, 85. Nempe, quocies lumma excrescit ultra
28(Ciclum Solarem incesriim) abjectis 28. Elque haec series (quae ulira 28 10-
cos excurrere non potestus, quin in le recurret,) cousque laltem continuanda, do-
REC OCCUETAL ExpOSituS Ciycti Solaris numCrUS 22.
TTI. Cumque hic numerus occurrat, in serie sccunda, loco 25: cidem relpon
det, in serIC PEIIa MUIIeTIS 470 = 456 (= 19 X 24) + 54. Et procedendum
ut in ordine proxime prxecedente.
Vel sumantur hocordine; Solari, Indictionum, Lunari.
I. Propter Cveli Solaris numerum 22. Incellisatus (uc prius) Series, 22, 50,
78, 8c. Addiris continue 28 = 25 f +3.
II. Vel (hujus 10c0) 23 533, E, T4, 12, 86. Nempe (neglectis semper 15)
addicis continue +3; ee quoties summa ulira 25 (periodum Indictionum inte
eram) exereseis abjiciendo 15. Fltque cousque continuanda series (quae ultra
E5 loca non porest exCUTTerE,) dOnCC expOtuS Cyeli Indictionum numerus oc.
curra
llla
E CIILITI
TII. Cumque hic jam primo cacim loco conspiciatur; indicio cst, quod qui
huic respondet in prima lerie numerus 22, annum designat qui Lic tum 22 in Cy.
elo Solari, cum n in Crelo Indictionum. Cumque hOC nON ItETUM LCCUTrAE NIE
post annos +20 = 28 x F5: Incelligenda elt Series 22, 442, 862, 8c. additis con-
rinue 420, h0c elt 19x22y F. 2.
aP. C