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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)
# Folio 208, page id 851387705:0228
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c
2L
Regula
De Regula Societatis: Tum sine Tempore; tum
estau
cum Tempore.
DEoula quae dicicur Societatis; cum nihil aliud sic quam regula Aurea PII-
 rIES REPCTICA: nOn OpUS erit uc LOnS disquilitiOne IIIaM EXPONAM auC Ctiam
novas exquiram opcrationum demonstrationes.
Es autem ea hujulmodi; Obi data in duobus terminis ratione, terrio 10co quol-
societatis. Libet, ut res ferat, positis, totidem quaeruntur quarti proporcionales; dici hxc (e-
lec Recula socretatis: Nomen suum inde torlan torcita, quod in Meicatorum con-
Corciis, sive locieraribus maximi ulus esse lolcat.
Sine tem Fxemplum elt. Si tres mercatores societatem neuntes sortem ila componani
Pore.
ut primus a conferat libras 60: secundus B, libras 50; tertius C, libras 40; ( A.
deoque omnium agercsacum, lib. 250. = 60 + 50 = 40.) Lucrum vero neeoriando
conquisitum sit lib. 30. Duaritur, quantum inde cuique debeatur:
Duo aurem hnic quaelico lacistia nihil aliud requiritur quani ut AuIex respIX
praxIS EOTIES REPETatur quoveS res ipla Postulat. Nempe litocius Portis lummae lib.
150, lucrum sir Lib. 30. quancum eric luerum pariis A, seu 60 quantum parris
B scu 50r quancum C. seu 403 Li tacta tocies, aurex regulae opcracione, parti A
convenire comperientur lib. F2. Parei B Lb. 20. Parci C. lib. 8. PTatm ut 150, ad 30;
sic 60, 2d 12; et 50, ad 20; e 40, ad 8. Vel, in symbolis, ue conjunctim A +
B. F C = Z, ad L.; sie, sixillarim, A, B, C, ad 
B
C
pore.
50 = 20. 30:: 350. 10.
60)
03
560, 22
ciit deselent
C 10
Atque haec eAt quam vocane Reculam Societatis sine tempore:
Cumrem. Si aurem, praeter diverticarem lorris conpeltae, accedac eriam divertitas temporis,
vocari solet Regula societaris cum Tempore. V L licuci, prius, repetenda crat
Aurea Regula simplen: Ica hie, Aurea Reeula Composita erit repetenda.
Puta s collaca Tore prima 50 - A, per menles. 4 = a; lecunda 50 =-B, per
menses 3 =B; tertia, 30 = C, per mentes 2. =7: licque corius negoriationis lu-
crum 30 = : quaritur quantum cuique debetur 
Cum itaque hic composita racio lic, nempe ex ratione Porris ad Correm, et tem-
poris ad rempus: Mulciplicandae Tories lineula in. Tium cempuS, Pura A X a = 6OX4.
= 240. BXB = = 50X 3 = 15O, C1X7 = 30X 2 =-60. Ft numeri sic tacti, con-
junctim sumpci, constimuene terminum primum, Ad  BB- Cy = 240 f. 250
60 =450= 2. lidemque lixillacim, roridem terminos cercios: Iplumque Jy
crum, verminum lecundum, aleoque conveniene Brimo, 16, secundo, 10; ter-
li0 4. Et in lymbolis paricer.
6074 = 2407
5Ox3 == 150E
30x2 == 603
C240. 26
450. 30:: 7250. 10.
1
at