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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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Cap. XXXIX. Au OStLA.
A. D: : a.
B. 4:: B. O.
A. D:: a. 4. 4. 240:: 20, 600.
3. 600.: 4. 800.
Nam primo 9 =, D. adeoque lecundo  =  9 = -  D. F. c tertio s =
a B
Q= ABC D. Ouod erat demonstrandum.
Nocandum aurem, quod quem nos in praecedencibus secundum appellariimus cer-
minum, tieri pocelt cerrius; adeoque quem certium appellarimus, sccundus: ho5
enim duos cerminos, in Proporrione directa, pro arburio sedes mutare polte, jam
fuora universalier diximus. Adeoque perinde omnino est sive dicamus PP.
L: : 2~. N. sIvCP F, XT:: L. 2. Trem perinde est sive dicamus ABC. D: : aB7.
S. sire ABC. aB7:: D. S. Duod monuisse Lusticiat.
Acque haec quidem dixissè sufticiat de Proportionum Regula compolica, dum.
modo sinsulae Analooix componentes sint directae.
Pieri aurem porest uc Analosiarum componenrium altera directa sic, aleca
Reciproca.
Exempli oracia. Si 36 =A dibrae panis, sufficiant militibus 3 = B, in dies
6 =C; libra 180 = a, milisibus o =B, in quot dies sufficient : puta in dies r.
EIt quidem hic analosiarum alcera directa, nempe Si librae 36 = A, sufficiant
in dies 6 =C; librae 180 = a, sufficient in dies quot? Puta g = 30. AE altera
eAt Reciproca, nempe Si militibus 6 = B sufficiant in dies 30 ==9; militibus
C, sufficient in ares quot: certe non nili in dies pauciores, propter plures mi-
lites, mempe, in dies 20. Adeoque illie, resula directa eAt actribenida; hic recipTOCa
Nempe 36. 6: : 280
36. 6: : 180. 9 = 564280= 30.
3. 4: 9. =3x9 -3x30 = 10.
7. 8. C. 1:: 7. 8. 2. 800:: 2. 400.
HCI L. C:. a
A. C.: d. 4.
B. 9: B. 7.
Adeoque g =  C. L+ Y
X
= BA
Si autem libeat pro duabus his operacionibus, unam compotiram substituere:
Factus ex duobus divisoribus (pura termino primo analogix direetxe _ tertio re-
ciprOCx) erit compositus divisor: (adeoque in analoeia directa, terminus primus:)
factusque ex multiplicatoribus, compositus multiplicator: Cadeoque, in eadem ana
loeia terminus tertius, in secundum ducendus.) Hoc est, Cin expolica quaectionem)
AB. C:: aB. 7 = , C. ut prius.
AB. C:: Ba.
Ft quidem, quoreunque tuerint analosix componentes, sive directae iul AV Kesiaa
bit terminum quae sitit.
reciprocae, id universater acudum. Lub omnibus Divisorons (nempe cernuo scetmes
primis analogiarum directarum ec cerriisreciprocarum,) continue ductis, fiat Di
visor: ex reliquis omnibus continue dultioz idendus; adeoque duotrens exde
Arque hactenus de Regula AICa CoIIa, lEquItuE Regula Societatis, ducla.