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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 971, page id 851387705:0991
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PrC
Machinis costans.
non sic. Vecunque, V Lacuse cousque adjumento exit, ut ea nihil ulera lu
perandum relinquatur quam id quo impessimencum illud, luperat hoc ex Graritare
Momentum, pro ea plani declivitare.
Verum haec omnia suni extra considerationem hujus Propolicionis ; quae (ex
teris rite computaris prout ex luis quodque principus altunandum crit) hoopo-
ristimum probacum ic; Vim quamlibet in A directe applicatam, ad candem di-
recte applicatam in B, eam Momenci rationem habere 2d Pondus P movendum
quam habet C A distancia, ad distanciam CB, vel eo pacsio descripra Perimeter ad
Perimetrum hoc radio deleriptam.
Dieo aurem directe applicata; (hoc ett, secundum rectam quae ad Orbis aibi-
cum in puncto applicationis Pansens lit; ue ad prop. 24. Cap. 3. explicarum est:)
quippe li oblique applicetur; minuicur Vis pro ratione Obliquitatis; secundum
Obliguitatis LegeS Cap. 2. expoliras. Nempe, Vis per au oblique applicata, ad
eandem per a V tansentem directe applicatam, in ea rarione valebie quam habet
_V ad av; per PrOP. 14. C ap. 3. vel DrOB. 2F, auc 25. Cap. 2. FE quidem Vis
per aan ad Vim candem per a. V vel A V applicalam; valetu u C a ad C. de Vet
CiA; Pet DCOP. 13. C aP. 3
Aeque hoc, Geranium leu Cruem Speciacim Spectat.  DBi Vis morrit adlibica, Fis. 262.
hoc elt, hominis caleantis pondus, non directe applicatur secundum Orbux tan
sencem, sed oblique. FF propterea minus asir Pondus caleantis in e, quaim S esset
In A; Cum enim agat hoc Pondus, propter graritarem Tuam, secunduim rectam
qua sir Florizonri perpendicularis; deleoque, _ ad FTorizontalis rectae OA pun-
etuim a applicara toreu, orbiram tangeret ea recta; arque aequipollerer calcanris
Pondus Oneri in P, quod ad ipsum sit uc C A ad CB, per modo demonstrata:
eErti ad punctum a applicatum, minus valebit (ob caulam jam dictari) qutam si
in A FOrec. Ft quidem Gi Foret a ipsi C directe subjectum, nihil omnino averet
ad convercendum Tynipanum aut Pondus clerandum; sed eo plus asit quo pro-
pius ad a promoretur; algue in ea quidem raciorie quamjam ollendimus ex
Drop. 2T. Cap. 2. C prOP. 23. Cap. 3
Dico eniam, in ea ratione valere ad Pondus P movendum: quoniam hibi ad
mareriam Phylicam perventum erie, nullum erit tam in omnibus expedicum
Organum (utcunque actabre decornatum fuerit, omnesque mobilium committura
ad glabririem redactae, e pertulo Oleo aliatre adjuex,) quin aliqua supererie
Scabriries, aliare inaequalicas, auc impedimencum quod lacierue Nirieu nonnihil
impendendum fueric ad ipsum Drsanum simorendum; acque hoc, quancumeun-
que sic Cumma Virium in A applicatarum decrahendum crie, illudque, quoe su-
perelt Virium epcattu eric adhibicum ad Pondus morendum quod ad B ap-
Plicatur.
o7A enc
Si tamen Mallei usum illum (altaisa similia) ad rectem reteras (aue L ibram
etiam) Cujus CCM Ms Cala Vectem (Libramve) Ct: Perinde est. Ouam
rel dd Pl0p. 14. Cap. 3. Caus.
Ouxque hric monemus, alibi pront, opus tuerir inrellisenda erune.
Malles vero ulum illum quem mnui H3. 203. C_ HeC Leducimus, ratio mani- Fi8. 262.
Adeoque quo propius s B ad C, eo torcus aset viscadtem in A.) Acque ideut
Festa est: Duoniam, etiam hic, virtus in A achibita, movet in circumterentia pa
dio C A deseripta (DEOPtEE C CentrUM OCuS,) B vero, una cum Impedimento
seu Obltaculo, (hoc est claro crellendo,) in circumterencia deseripta radio C. B
dicendum erit de quoris alio organo contimili, ubi eadem rario
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