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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 611, page id 851387705:0631
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PFOD.XXV. F Moruum Dectivita.
PR O P. ZZV.
Obliquitas motus, ea ratione minuit Craritationem, (adeoque De-
scensum impedit, adjurat ACcenum;) qua LongiOr est obliqua xe
cta illam determinans, quam perpendicularis aeque alta; Are Se-
cans Anguli Obliquitatis, quam Racius.
Idemque aliis motibus accommodabitur.
Tam (Per 27 hujus) Crare, pro raria Declivicace, gravicat in ipta Decliri. F18. 42.
Acacis ratione; HOC CA (PeF T4 hujus) in reciproca ratione rectarum aeque
altarum. Puta, qua ratione longior est F S vel F P obligua, quam FP perpendi
cularis aeque alta; sire (quod in Trisonometricis dicitur) FS vel PP SecanS
Anguli Obliquitaris P F S vet PF P, quam P P Radius; Fa minus gravitat in FS
vel FT ferendum grare, quam in F P. Ouod crat probandum.
Adeoque (per 27 CaP. T.) in eadem ratione minus Descensum promovet, vel
ACcensuri repugnat; live (quod eodem recidit) in ea ratione Delcensus Obligui.
cace impeditur, et Facilitatur AscensuS. Ouod iridem probandum crat.
P RO P. XXVI
Obliguatio Plani in quo fC NOtS; in eadem ratione minuit omnium
in illo ferendorum Craritationem: ea nempe quam ipla Plani Ob.
liguitas postulat.
EL in aliis mocibus similiter.
CTE in Obliquo Plano GOF, recta queris GT. Acque a puncto C, demita. F18. 48.
Dcur, ad Florizontale Planum FOR, perpendicularis GR. AEquC, ad com
munem Planorum incersectionem FO normalis GO; (ue sic GOR Iuclinacio
Plani, per DCF. 6. EL. FT. e OGR ObTiquItaS.) Si isitur intellisatur GO Y
planum, super Horizoncalem rectam O F crectum esse; erir utriulque recta (O
EP, communis Alcieudo CO: In eodem vero Plano Obliquato, Communis AI.
qua racione CK brevior est quam GO, (hoc eAt
Radius quam. Secans Ansuli Obliquitaris,) eadem ob Plani Obliquationem mi
nuicur Alcicudo, (adeoque Dectiricas,s e Crraritatio, per 14 et Y7 hujus) sIve per
GO, sire per CP, terendi Craris. Quod erac probandum.
P ROP. XXVII.
Cirare, sicu Decliri ferendum, sponte sua movebitur: Sii Forixon-
tali (sire secundum Superticiem Sphaericam Terrae concencticam
Vi quantumris exigua: Situ Accliri; ea Vi morebitur quae Imve-
dimento ex Accliritate (cum POnderE COMPATATA) orto Praepollet.
Idem aliis motibus accommodabitur.
DEx Becurem ductum, ut PL, FS, (adeoque Deleen-
dentem, per DeF. 26. Cap. T.) sponte lua (nili alias
impedicum,) feretur srare; per 2 hujus. Per Horizon-
cale Planum, vel superticiem Sphaerieam, Perrae Concen-
tricam, UE PFI, (cum nullus siF vel Delcenus vel ACCen
TuS; Per O AjUS;) nec lPOnL sua mOreBITI, (PeF 2
hujus;) nec tamen motu adversatur, (per 4 hujuS;
adeoque Vi quancumris exigua OVEBIEUT, PeT IT C aP. Y
Per Acclirem ductum, ut PF, PO, (adeoque AICen
dentem, per DeL. 26. Cap. L.) motui adrerlatur Ccraritas, (p 4 
Ahhh 2
Gue