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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 598, page id 851387705:0618
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Decradcum scnsa
Cap. 1l.
icerumque, Perspleuitatis gratia, tactum tuerie; malebam rum huc cum in lequen-
tibus succinctius agere, ne ridear vel nauseam creare, vel propolurionum nume.
rum praeter necestitarem in immensum ausere velle. Ob quam rarionem ctiam
Corollaria Propolitioni principali rocies subnectere risum est.
 Ex hac aucem Proposicione (quae Descentuum Ascentuumque Maenicudinem,
ex Crrarim Dondere simul es Mornum slcirudine, aeltimat,) pocullimum dependei,
de Machinarum quarumris Porencia, judicium. e it dtee
ite3istA 3 Si 131S. 1 L L.. 141
Conjunctis invicem Delcentu et Alcentu; St PrXepOIlet DelcensuS, pro
Descentu simplicirer habendi sunc: Pro Ascentu rero, si ACcenuS
cuprapollet: (Er quidem urobique tanco quanta est Praepolsentia:)
in aquipollent, PrONcuttO.
Si vero vel plares Ascensus conjuneti sint, vel plures Descensus: tan-
cundem simul pollent atque corundem summa.
Idemque motis ab alia Vi Mocrice, mutatis mutandis, accommodabitur.
PaLEECX PrOP. 8. CaP. L
P ROP. VII.
Comparata Graria, caeteris paribus, ea rarione Ponderant (Descen-
sum moliendo, aversando Ascensum,) qua pollent corum s mo-
reantur Descensus Ascensulre; sire, quae ex Ponderum et Altitudi-
num rationibus componitur.
Idemgue aliis mocibus, mutatis mutandis, accommodabitur.
Deca; Tancundem ponderant Onum Pondo per Duo Spacia, acque Duo Pondo
per unum Spatium, Cursum deortumre (eodem tempore) Ferenda. (Ouipue
ucrobigue Duplum Onius Pondo per Onum Spatium.) Adeoque Duo Pondo per
Duo Epacia, quadruplum ponderabunt; Onius Pondo per Unum Spatium eodem
tempore ferendi. Ft in reliquis proporcionibus limiliter.
Cum enim ea ratione plus ponderant Craria, careris paribus, qua sunt majoris
Ponderis, (per x hujus;) quaque plus Descenditur, (per 4 hujus;) Fa ratione
Ponderabune (utriulque ratione habita) qua pollent eorum (secundum ucramque
contiderationem) Delcentus Ascenlutre: Hoc elt, (per 5 hujus,) Ca qua ex PON
derum et Alcicudinum racionibus componicus. Quod erac demonstrandum.
Fixempli