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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 625, page id 851387705:0645
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P RO P. XIT.
Si idem sIE LIDEX CENETUM, aEqUC CENTrUM HOTUS: Ouae ex illa lI.
bere dependent Craria, (aut etiam alias directe rel subsunt ret in-
cumbunt) in ca ratione ponderant (seu grarant lua respectire
Brachia) caeteris paribus; quae ex rationibus Ponderum, et Diltan-
tiarum punctorum axplicationis a communi Librx et Notus C’en
ErO Componitur.
Adeoque: Si Dittancix sint aequales; in ratione Ponderum: Si POn-
qualia; rel sint reciproce proportionalia; sEquiponderant: Oux
vero ex Centro dependent; neurrum grarant Brachium.
Idem incellige de Viribus aliis: Nempe in ca ratione movendo pollent,
quae componitur ex rationibus Virium, et Dictanciarum a communi
Centro Motus e Librae, (sire quod hujus instar est) quibus directe
axplicantur Vires.
mD.
nt
PD. C: n FD. nE:: m PD. MC:mnP D. mnC: PD. 6.
Tam. (per 7. CaB. 2.) in ea ratione ponderane; qua pollene, si moveantur
ACcenlus, Delcentutre: Hloc cA (per 5. Cap. 2.) in ratione quae ex racioni-
bus Ponderum, e Alcicudinum ascentis descentutre componitur: FLOc est (per
praecedentem) qua ex rationibus Ponderum, e distanciarum punctorum AppliCa
tionis a communi motus ee librae Centro, componitur. Ouod crat Propolitun.
Ouodque, de Incumbentibus e Dependentibus, additur; constat ex 4 hujus.
Corollaria constane, cx 4. et 6. C aP. F.
5CT2O Z. ZV M
DRopOticio hac Cut de praecedentes) poristimum respicie Libram canquam ex
unico suo puncto liberrime dependentem (non ad cerram axis politionem, ali
ter quam graritate ua et ponderum devendentium, determinatom,) adeoque in
plano ad Florizontem recto, sire circaarem Florizoncalem, librandam; ec quidem.
Draelerrim, ut in sicu Horizoncali consticutam: (quanquam es ad alium tum L ibrX
tum axis licum accommodari poterit.) Saltem Pondera supponuntur omnia in
eodem plano, atque ad unam eandemque rectam per Cencrum notus cranscuncem-
applicata; secus urique non eltet idem Libra acque MOcuS CentruM. Fratque haeC
provolicio neuriquam omittenda, ut qua tam Celebris sic in re Scarica, Aqualia
Pondera, in ratione Distantiarum d Centro Libra, graritare.
Verum omnino erenit non raro, comparanda venire Pondera, ad Libram exi-
Benda, neque in situ Forizontali, neque in uno aliquo, sed divertis politam: Sed
neque in plano ad Forizontem recto, duc circa Foricontalem Axem, libranda; sed
circa inclinatum AReM, accou  sCato plano morendatit. Vel etiam non
ad
applicata: Iplaque Pondera neque ex ejusdem recta, neque ejuldem plani, pun.
etis Cuspenta.
nem huie subnectere, quae rem eandem unirerlauS exponL.
Huic ilaque catuum varietari ut cacissaciam, vitum est sequenrem propolicio.