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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. AUREA COMPOSI.
C A P. XZ ALA.
De Aurea Recula compesita. Tum ubi omnes maloeiae
componentes, sunt directae: tum ubi altera, vel etiam
plures, sunt reciprocae.
YD Feula quae dicicur Aurea Composita ex duabus vel pluribus Analosiis con- Regula
RItaI. Adeoque Regula simplicis operationem aliquoties icerandam else (Fal. Aurea
tem vircualiter) postulat. Tildem aucem nicicur principiis Regulae compoliix, Compo
acque simplicis procestus: ut non sic opus lonsa praeparatione, led exemplis ali. Suca
quoc operandi mcthodum extribere.
Fcto hoc Fxemplum. Si 4 Academiei, in 3 Mensibus, ex - 4. 20::6.
pendant 20 libras; quot libras expendent Academici 6, in 3. 12. 9.
mensibus L2, sive anno inteero?
Manisestum est, in hac quaestione, duplicem Analogiam reperiri. Comparan.
tur enim cum pertonx perlonis, cum cempus cempori, ut ex utrilque collacis re.
Deriatur rario expentarum.
Resolura itaque hac Analogia compotira in duas simpli-
ces; Dicimus Primo. Si 4 Academici, expendant 201- 4. 20:: 6. O.
bras; quot libras expendent 6 Academiei eodem tempore ?
(Adeogne seponimus pautisper divertorum in quaeltione 4) 220(30 = 9.
temporum considerationem.) FF operatione peracta, pa-
Eebir, 30 libras, a 6 Academicis, expendendas eodem rempore quo Academici 4
expendunt libras 20: hoc elt, ex hypocheli, in 3 mensibus.
Deinde, (relumpta jam temporis consideratione)
Si sea illi scademici expendant (vei jam inventum 3. 30:: 12. .
CA) in 3 mensibus, 30 libras; quot libras expendent
in mensibus 22. (Obi terminus quarcus, priori ana-
losia inventus; tc in secunda analosia, secundus:
UE 1a1
dibic O = F20, numerus qualitus principalis.
31 365 (120 - 0.
Expolica uaque analosia compolica retolritur in has binas simplices.
Simplices.
4. 20: :6. 9.
3. 4:: 12.
narum collacio inltitueretur. Puta primo, li (guatuor expoliti Academiei) ex-
pendant, mensibus 3 libras 20; iidem mensibus T2 expendent quot libras: Re-
Dondendum, 80. Deinde, si (in +2 mentibus) 4 Academici expendant (nt
sam ex priori quaelito liquet) 80 libras; quos libras (eodem tempore) expendent
6. Respondendum (ui ex operatione Deracta liquet) libras 120.
Libpouca.
q. 2..0.
22.
Idem autem omnino tandem prodiret, si prius temporis, deinde autem perto.
3. 20: : 12. 9=80.
5) L4 (6O
4. G= 80::6.  = 120.
4) 480 (120 =0.
Resoluca nempe analogia compotta, (St S HICHHBUS, 4 virI expelilla L1
braS 20; MEHLIOS 12, virI 6, quot expendenc?) in binas simplices; alteram de
temporum, alceram de personarum, collarione.
Con.