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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 996, page id 851387705:1016
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De Mosibus Compositis, Acceleratis, Cap X.
dC 1LL FV L:
PRopolicionem haste LI Pohecice proxonimus: quoniam non inter omnes contta
ostensum ctt.
vel quanam sic Graricatis Causa, vel eriam secundum quam Regulam agaE,
(rariis rarias Graricaris TEyporheles excogitantivus.) Neque nobis hic in ani-
mo elt, illam in Physieis quaectionem determinare, in cujulcunque praejudicium.
Sed, ltance illa FEyporheli Phylica, ( quam vel rcaple veram else, vel ad veritatem
quam proxime accedere, FxPerimenta ceCtaNEUT;) Pheorema Machemarieum,
e RC
Fadem obtinent aCcelerandi et retardandi rationes, dum Fertur Crare
per rectam Inclinatam, seu in plano Inclinato; atque per rectam
ad Florizoncem Perpeclcularem: Sed celeritatibus variispro raria
Flinc sequitur; Fodent mpore per quamlibet circulo inscriptam, digt
metro Perpendiculari (In Circulo Frecto) rel perpendiculari suc-
cedanea (in circulo snelinato) conterminam, ferri Crare; quo
trem; Fandem celeaem aescendendo acquiri, et alcendendo deper-
dius in recta inelinatas acque M Perpendiculari aeque alta: Adcoque
et eundem utrobique upecum, es percustionem candem.
AM per prOP. 26. Cap. 2. Obliguscas Plani in eadem ratione minuit omni-
 um in eo delcentirum celerstares; nempe in ea quam postulat plani dectiri-
1a5: FIOc eA (Per pFOP. 25. ejuldem) celericares erunt in
decliritarum ratione, seu in seciproca rectarum xque al
tarum. Adeoque quae crant in A P B perpendiculari, uE
(3 2, 3, 4, ec. crune in inclinata AO, li haec lixillius du-
pla UCZ, 2, 2, Z, ec. A exipla; ut 3, 3, 3, 3, ecc. e simili-
ter in aliis provorcionibus.
Vel etiam, idem ab origine demonltrabitur ut in proP.
3. hujus. Nempe Ii quod in AB gravicac ut F, idem
in AO (propter obliquitarem) graritet, verbi graria,
ut Z; unde momento primo, seu tempore exisuo, aoqui-
racur celeritas uc Z: ejusdem applicatione continua tempore
secundo, acquiretur alterum Z: tortio, cerrium, ec. adco
que (Prioribus permanentibus) celeritates crunt, uc 3, Z, 2,2, 8c. eadem rarione
CUM IPES L, 2.
Alque hinc colligiur Salilai propolicio illa; Fodem tEmPOTC PerCurrI AO,
vel OB, Tubtensas quastibet circuli Diametro perpendiculari A B concerminas, quo
iplam AB diametrum. Cum enim (per ance demonstrata) celericates omnes in
A O, ad respectiras in APB, sint in reciproca ratione rectarum aque alcarum;
hOC est, uE A P ad AO; hoc cst (propter similia criangula) ut AO ad AB, (Lon-
sicudines transactae ad invicem: ) eodem tempore percurrentur AO, AB. Idem-
que similicer ottendetur de OB, Teu huic paraltela, (adeoque aequali et paricer in.
elinata) AB.
Ouodque de A B perpendiculo in circulo erecto octentum clt; similiter obtinet
de AB perpendiculi succedanco, in circulo inclinato: propter omnes in eodem
Plano descentus in cadem rarione impeditos. Per PTOP. 26. C ap. 2.
Cumque (ut jam ostensum cst) celericates in AO, ad respectirae in AB, CnE
ubique proportionales; linique eodem rempore percur(X AO, AB; erit celeritas
in O (lati per AO,) ad celericatem in B (lati Der AB,) ut AO, ad AB. Sec
e ita est celeritas in P ad eaudem cetericacem in B (laci per A PV. ) Nam l per
DCOP.
decliritate.
pex illam Diametrum.
Bc