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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 997, page id 851387705:1017
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e
LAbp. V.
Retardatis, Cs Proectorum.
PrOD. 2, 3. HujuS,) cransactx longicudines sune in duplicata rarione temporum
adleoque e celerirarum, utpore quae sune remporibus a principio Cumpris provos
tionales. Adeoque Celericacis in P, ad celeritarem in B, in lubduplicata ratione
AP ad AB; HOc est, (PTODEET A P, AO, AB, concinue proportionales,) ut AO
ad A B. Fadem igitur elt celeritas in O, quae in P. (Idemque similiter obtineret
ob rationem modo dictam, si fuerie APO planum inclinatum, et A P perpendi-
culs succedanemm.) Adeoque de Impecus verobique aequalis (cum idem sC uErO-
Bigle cum Pondus cum Celericas;) e aequalis Ictus Peu PercuAIO: uc in C’aptie de
Vercultione octendetur.
Ouxgue de Descentuum Accelorationibus, hie ostensa sune: eadem similicer de
ACcentuum Recardarionibus ostendencis. Duippe Obliquiras Plani eadem ratione
Alcentum adjurat Gua H ACCHC L  (tD. 27. Cap, 5
Adeoque luplo CCMAPOTIbIIS, UE 29 2, 3,4u etc. Tongiludies tranlacl
erune, uE 1, 8, 27,64, _c. numett Cubi.
Si Celeritates sint in Temporum ratione Triplicata; Ouadruplicata.
ec. Fonsitudines emensae, erunt in Temporum ratione Ouadru
plicata, Omincuplicata, etc. Una semper rice plus mulciplicata,
quan Leleritates.
Adeoque, Tumpris cemporibus ut 2, 2, 3, 4, Xcc. longitudines crunt, uE
E, 26, 82, 256, ec. numeri Biquadraci: rel uE 1, 32, 243, 5024, etc
numeri suversolidi. BFHC deinceps.
Tonsicudinesque continuis cemporibus egualibustransacta, uc illorum
Cuborum, Biguacratorum, Superlolidorum, etc. difterentix.
RNcMBatur enim, Mom ab a inchonto, in Fem.
a pOcto A b Bmomentis B, B, Ccleritaces esse in du-
plicata ratione rectarum AB, AB; hoc CA, Et ipta-
rum Ab, AB, Ouadrata: Puca, Ut recta bB, BB
complences ABB complementum Semipatabola. F.
runc icaque Longicudines remporibus AB, AB, emen-
(a, (per modo demonstrata ad prOD. 2. hujus, ) uc
ipsa Complemenci plana ABB, ABB; hoC ett (prOP
ter crilinea ABB, ABB, siberipla ParallelOSFam.
OruI ABB, ABB, Per prOP. 6. Cap. 5.) uxipsa
A
ABB, ABB, rectangula seu parallelogramma. Sunt aurem, proprer alcimidines
iplis AB, AB, vel aquales vel lalcem proporrionales; balesque bB, BB, in exrun
demratione duplicara; Parallelogramma ipla (vrpore in ratione ex Batium ee AL.
ticudinum rationibus composica) crunc in carundem ratione Priplicata
Fc propcerea, sumpcis ab iniso temporibus AB, AB, dec. UEP, 2, 3,4, c. SC.
spectire Celericates erunt, ut E, 4, D, 70, etc. et lonsiudines ab inicio cransactae, ue
E, 8, 27, 64, ec. Adeoque, remporibus aequalibus, concinue a principio sumpris, i,
7 F03 CC. Cuborum differentia.
Similiter oltendetur; sumpro Complemento Paraboloeidis Cxbicalis  gus
rectae BB, BB, sunt in rectarut AB, AB, facione Priplicata:) Loneicudines emen-
as (crilineis AbB, A BB proporrionalco, ) elle in earundem racione Quadruxti.
rata.
Acque Sc deinceps, pro pocellaribus aliis, si lumantur Parabolocides respective
contormes. Conttat ilaqué propolicum.
Siu in Motu continue Accelerato, Celeritates (ab initio computandxe
i lemporum rattoe Lriplicata.
sine in demporum ratione Duplaata: Lonstl a clust
I K R. H B
Fig. 293