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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 995, page id 851387705:1015
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PFOD. III. Retardatis, Cs Projector.
DuS AB, Sic BB (celeritatem in B) ad (celeritatem
In B) BB: ec lic ubique: Cum Ponsitudines emen-
Ia, line Celeritacum gradibus proporcionales; Crunt
omnes longicudines tempore A b cransactae, ad omnes
EFANSaCtaS LEMPOre AB; (Peu eora longicudo tranI
acta tempore AB, ad cocam transactam tempore AB;)
ut omnes rectae complences AbB criangulum, ad
omnes complentes criangulum ABB; ITOC CAt, ut Fxi-
angulum ABB ad ipsum ABB Friansulum; Adeo-
que in Lacerum Ab, A B, ratione dupliCata (PTOPEeF
tiruras similes in duplicata ratione laterum homolo-
Porum.) Ideoque li Tumantur tempora AB, Ab, eC.
NC L, 2, 3, 4, CC. crunt Triangula ABB, ABB, _C
(adeoque _ rransacta L onsicudines,) uC F, 4, 9, 16, _c
Et proxterea, quae remporibus aqualibus continue se
quentibus, Ab, bb, aec. tranLIBUMuT; ABB, bBBB
_c. uc eorum differentiae, L, 3,5, 7, dc. FF (ic ubique.
Puta, Sumpris in recta AF, F. 18. 290. Partibus AB, BC, CD, DH, CC
iplS X, 3, 5, 7, ec. propoccionalibus: aequalibus illa temporibus cran.
ligeneur.
Si vero incelligatur, Fis 289, non ab ipso mocus inicio in A, compu.
tus instituendus; sed, d celericatis gradu jam acquilito, ut bB leu BC:
rel quodrancundem erit, si non luapte cancum graritate morum con.
cipiar Grare, Sed a Vi Morrice exrrinsecus pellatur seu projiciatur.
unde Celeriraris gradum concipiarur bB, (qua itaque terretur niti
quid aliud accederet, per PrOP. TT. Cap. T.) quae deinceps ob grari
tatis impecum continue applicatum, continue (uc ditum est) aequa-
licer acceleranda (c: erunt Celeritatis pradus, lingulis iplius cempo-
eis bB momencis, uE reclae trapezium BBBB complentes, _ LDH91-
cudo per id temporis emensa, uc ipsum bBBB crapezium; quaeque
temporis illius partibus trantisuntur Lonsicudines, respectiris ila
perii partibus proportionales. Et quidem li incelligatur BBB paral.
delosrammum, sepralentare lonsitudinem emeriendam tempore b L
celeritare ubique ip( bB aequali: cxiansulum BC B reprasencabir id quod Proptet
ac
Similicer E incellisatux Crrare, in A,
Fio, 201. Turtum projectum ca Vi guX
Celeritate imprimeret ut A a; qua per-
Pererance crantisendam tempore AB
longicudinem reprasentet ABa Pa: 10
rallelogramIU. LA VeTO, PFOPICEO
Gravitatem, ut Vim contrariam, contra
renitencem; ec, propter concinuam ap.
plicationem aequalem, tancundem lin-
sulismomentis dementem; continue
minuetur: ablatis rectis a B, aB, Eri  C)
angulum a BB complentibus; reli-
Etis bB, retiduos celericatis gractus
repra sentantibus; donec randem, ita
crescentibus aB, ut Fat a B ipE A∞
aequalis, tora Vis Tursum tendens ex-
9. 291
trauriatur; adeoque in temporis puncto B detinat ACcentus. Sed, crescente porro
ob Graricacem impetu; non modo non teretur turtum, Ced incipier descendere,
(Vi deorsum jam praepollente;) de quidem lob continue crescentem impetum
aequabilicer) motu aequalicer accelerato, (ur creleunt cB, CB, rectx, criansulum
BCB complentes;) donec, tacto BBC triangulo, ipsi A a B aequali, cancundem
descenderir quancum ascenderat prius: alque adtuie ulira nisi quis Obex im.
pectiat.
g. 28G
3C