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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)
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endie
11d.
acc) in
CO
pecd
PFODXXI
sit Motuum Declivitate.
ET in B, Grave; impenetrabili plano torironali EBO incumbens; vel tu- F18. 30.
perticiei Sphaerica, quae Sic Perrae concencrica, DDB. Manitestum ett (propter
aequales Sphaerae ractios) nullum in ipsa DDB Sphaerica superticie punctum, (ne-
dum quod supra ipsam est, auc eriam supra planum Horizoncale,) propius a Per-
ra Cenero diltare, quam ipsum B punctum. Adeoque; li nec luperticiem illam
(live Spharicam, Sire Florizontalem,) Denetrare pollic, (quod lupponitur;) in
nullas morendo parres, descendet, (per 3 hujus.) Cum itaque (per DcF. Cravi
tatis) non nisi Delcenlus erso, graritate tua moreatur grare, nec pot (Per jami
demonstrata) descendere: Non OrebIEUI, GraVItaIE TUa, SIC COnLLITITM GITAVC.
Ouod erat Demonltrandum.
SC FZOL ZV M.
Dem oltenderetur de Crari, in B, superticiei concara incumbenei quxe in B
cansat FTorizoncale planum; seu cujus punctum intimum sic ipsum B. Lrem,
de conrexa Sphaerica cujus Centrum CiE ultra Centrum Terrae, quam tamen in
Bcontinset plunum Horizoncale; urpore cujus punctum intimum sic ipsum B.
Idem verum cA de superticie minoris Sphaera quam sic contingat B: nOn autem
ob hanc caulam, quia punctum illud non sic reliquis altius, (cAF enim;) Sed prop.
TEF PrOP. 8. hujus: quipre non clluna aliqua decliricas, reliquis omnibus major.
Per Impenetrabile planum, ec. Illud incellieimus, quod ea Paltem quae adhibe-
cur Vi, non penetrabitur; utur Vi majore penecrari poltit.
Nocandum elt hic porro; Dummodo, ob immenlam Ceneri Terrae distanciam,
ec expoliri plani parritarem, intelligacur Florizontale planum, cum superticie
Spharica cerrae concentrica, coincidere; adcogue iplius puneta lingula: guali 2egua-
licer a Ferrae Centro dictare: perinde est, sive in B, Cire in Fl, aliore Hlorizonta
Iis plani HIBO puncto, intelligacur Crave consticurum. Sin axpiBcos considere.
cur; non exic illud, nisi unius B puncti respectu, planum Forixontale. Omare et
in I consticurum erare, pocerit ad B moveri gravicate lua; urpore punctum interius.
P ROP. XXIV.
Super impenetrabili plano ad FTorixontem sire recto, lire utcunque
inclinato, constitutum crare; nec alias impeditum; per illam Plani
rectam descendet qua est rectae FTorizontali ad angulos rectos; de-
Orsum. Oux quidem recta, in crecto plano, es iplum P’erpendicu
lum; in obliquo plano, Perpendiculi succedaneum, appello.
Adeoque; eadtem eA, Descensus Craris in Decliri plano, ipsusque
Decliris plani, tum Decliritas, tum Obliquitas, de Inclinatio.)
Ft univertaliter; in quacunque superticie Decliri, illo prae caeteris
ductu Feretur (Siquis SIE) qui est reliquis omnibus Declirior 
Idem intellise, mutatis mutandis, de motis ab alia quaris Vi morrice;
Nempe secundum illam plani rectam feretur Mobile, (nisi alias jir-
Dedicum,) quae est ad angulos rectos illi rectae quae Lineam Di-
rectionis Virium ad angulos rectos secat.
CE in Declivis Plani puncto F, consticurum Cirare; rectaeque Ftorironcali AL. B L 18. 403
D ad angulos rectos FP recta, in eodem Ptano, deortum. Oltendetur (ex 20 47.
_c F4 hrujus) ominium quae in illo plano sunc (nedum quae supra planum) lon-
sicudine equalium, ad F ductarum, Onieam LP rectam, maxime declirem este.
Adeoque (cum, proxrer impenetrabile planum, ad illas intra Planum ne cranleat,
impediri incellisatur) per iplam P P (Per 27 et 5 hujus,) vili alias impediatur,
delcende Cirare. Ouod ctal demonstrandum.
Idem aliis Superticiebus accommodandum erit, Pro re nata; Nempe, exeteris pa
rivus, illo semper ductu (liquis Sic) larum iri Crare, qui est exreris omnibus de
clirior: per 27 ee 5 hujus. Sin calis nullus sic (reliquis omnibus dectirior) du.
Etus; non movebitur. per B hujus.
Hnhh
alia