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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 603, page id 851387705:0623
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(0p01
iprOCO
et
PFOD. X V. Motuum Declroitate.
Tdeogue; rectarum, puta F P, F V, Decliricates lune inratione FP ad FR
nempe in ratione qua componitur, ex Ascicudinum ratione, puta, F P ad F C; at-
que FO ad FR, sire FV ad FB, hoc est F, V ad FP, reciproca. Longitudinum.
Ouod itidem demonstrandum erat.
Adeoque (per 6. Cap. 1.) Sirationes illae (directa alcicudinum, et FeCipFOCA
Longicudinum) sine invicem reciprocx; hoc cst, si Alcicudines Cint Longicudini.
bus directe provorrionales; Decliricares sunc aequales. Ouod erat ulrimo demon-
Strandum.
SCHEOL. ZV M.
TOrndum hic; Dummodo Ferrae Cenerum intellixatur carquam intinice, di-
.d stans; eadem est ubique ejuldem recta, puta F B P, DectIVItaS; PTOPtCF Pa
rallelam Perpendiculorum potuionem: Si vero intellisatur ut in certa dultantia
Finica; varia est in lingulis punctis Dectiritas: Ouippe cumm Perpendicula omnia
In CCNITO COCaNE; quanquam eadem sic directio MOLIS, NOrriCIS LANKH V 
rectio Cubinde mutatur: adeoque alia exie illius ad hanc Posicio, aliulque ad per-
pendiculum Angulus, puta in B quam in Lpuncto: Ouaque ex praesentr L Fura ,
demonstratione colligicur Decliritas, Toli F puncto convenit; aliaque BIO alIS,
ucB, V, P, punctis limilicer collisenda eric; demittis inde ad Lerrae Cenllt )
Pendiculis.
que recta ibidem continsentis. Et Superficiei currae, cadem atque
ibidem contingentis Plani.
Ouod aliis perinde atque Crarium motibus accommodabitur.
IE FP, perpendiculum; PC, Curra; F P, recta contingens. Cum candem cur-
Dvam in variis sui parcibus varie declirem elte constet (dectiriorem alibis alibi
minus dectirem:) Fandem dico, in L pincto, de caset
eliritatem FC currx, acque contingentis rectae F Y
censendam cAe. Cum enim CF P ansuluS CONFaCIIS
(Sire Circulorum, per 16 F. Lem. 3. lire Conicarum
sectionum, per 32. Lib. L. Spollonii; lire, quod si.
militer oltendetur, currarum quarumris;) sic vel
nullius magnicudinis, (quod nos, peculiari Fractatu
De Angulo Contactus, mulcis oltendius;) vel Cal
cem, intinice exisuxe, (utpore qui sic vel minimo
voltibili rectilineo minor; quod apud omnes in con-
Celto est:) eadem erim in puncto P, Directio, sire
C currxe, sire P T concingentis rectae; (laltem,
ditterencia quavis altionatli minor eric:) Adeoque d eadem, ueruilque 
puncto Declivitas. Ouod erat provolicum.
Idemque de superticiei currae punctis sineutio sulisex ollendetur.
eRO P. XV
1. (1 . 1C
Finexe currae Decliritas, in singulis respectire punctis, eadem est at
fet.
3CitS CL et D R O P. XY
114, 218 
13 sic 31
Di3sistocO
Si ad duos os a Catatum Grare, CautIs patIouIS; Uey a
tero l feratur, Delcenurunt li; Aceneum, l altero: Ld Pa
Siu alcelo lacum plus Descendet; allero, mimis: d prapondera
Si alleto, plus ACcendet; alcero, minus: ea minus RexuenaE, qua
n aa oris sclalu, ret lcendet, ret ascendet: Aqut.
Qla plus descendet.
pondetat, qua DescetTurum est. POWP) vNEISI
minus Alcendet.
18
COntra
Ponderat uerinque.