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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 655, page id 851387705:0675
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 mro Crravitatis.
quielcet, per 20 hujus. Non isir alio, exira hunc L LS Agulibrii NSeM
uneto Lultentum; eodem seu constitutum quiescet. Nec exic alius ALISCX qui
libeii expolico FS parallolus. Duae demonstranda exaub.
PrOP.XIV.
BR aB XFIL
Si CCnErO OFaVICatIS sustineatur CrarC; quocunque truponatur, sb
sic permictum, non morobitur. qSN PesC C
Punctum quo illud, quo si suctincacur, Cirare nom moreC, CsS
sicu posicum; est Cenerum Craritatis.
iscilisspX eIIXIESD CVIG sIS 
LSSiHE CICESEEES E L 1BG CIOCMIL OispaUSI
att al
Om eniis (per dess Concri Graritaris) guaeris peri hImia anelis, aecta, si
Aris Aquilibrii: Si lui Ceniro Graritacis Suctincane LaVC, Quocunque s
cu ponatur, perpendientu per Cemrum illud morus, eric Axis A guasibPI. Adco
que non morebieur G0 Fultencum Grares. per T0 hujus.
EEConrerla Similiver paveEs SNamsnitibEunctum iIId quo, VE CCntrO MOTIS
Sustinctur, lic Centrum Grariracis; aliqua Calcem per illud incedens recta, HOHCB
Axis Aquilibrii (per dets Cemni Craviraris.) Adcoque polica hoc recta cad HO-
tizoncem perpendiculari, non quielcet unico illo puncto sustencum Crave. Per
Z0 hujus. Ouod conera hspochotiminus
11 3 S 13C] 31
IbquPR O..  XIV.
AGLLBSEISI
In Aguilibrii Axe quoris; est Centrum Graritatis.
Aisq uc Libra considerati, Cencrum sEguilibri.
Nempe; illius
Um Higquilibrii ARCI, ublZ8, Tistentum Gcare, quocunque Sicu poticum , F18. 96.
LGieset (ver HiMsJ AdeoguE eotu Craris onu ustineaM visiillo ((pC
+8 Cap. 2. vel 2, 4, 18, Cap1 13.3) Inteslisacur XS recta, sic vnucta, lecundum L si
brae lonsicudinem applicari; vel ipta etiam, pro Libra censeacur. Flujusquo the
onulta PHbTa, GuaTAEE (P et 20 Cap. 33) ecnen quilibriis Ouod siv C.. DDico
C Cenerum Gravicacis eles corius Crarisi ssos sils (sn soe aidil carre
Cum enim idem C pinettm, in quocunque Graris sic, Gr Ilius (SrenAais sire
Libra) XS, Cenerum Aquilibrii; (quod lacim xtem onforabituv:) Manence
puncto C, non orebicur XB recta. per 7 Cap. 3.). Si iiaque Opuueto, ut CtenrO
NOcuS, SustineatuF (Crare: Neque cirea manemetm rectam LD Lurporel quae, el
Aris Aquitibeii drocabicur; Neque (proprer C, oenrum hici quilibxii) morebitur
Axis ille: (quae sair oltensa lunE:) Neque poielt alius moreri Grare; (pen r hu-
jus.) Adeoque, puncto C. sustentum; sponce lua non morebicur, quocunqué sieu
conllicutum Crare. Eltque propterea, Punctum C, Cenirum Gravicatis; (per
Dcaeced. ) Ouod erat demonstrandum.
Ouod gucem idem C. punctum, si ejuldem axis A quilibrii _L. S, Genrum Ai.
quilibriis quoeinque sn consticuatur Grare: Sio oltenditun l.
Sit primum, ita urcunque constinuum Crare, ut expotuus aquilibrii AXis Z5,
sic in sicu Forrroncali consticucus. Per ipsius, ue onultae librz, Cencrum AEqui
librii C, Transeat AXIS LibrX; qui icaque ae dibram X S normalis erie; dt quidem
in sieu Florizoncali; (cum enim incellisaeur XS libra unico sui puncto C ut oen
ero mocus, sultineri, aderque ad nullam axis policionem aliter quam gravitace sua
determinari, librabitur in plano ad Florizontem recto, urpore omnium maninia de
eliri; adeoque circa axem Florixontalem; ut in Scholio PFOP. (2. Cap, 3. dictum
est:) atque per hunc arem perpendiculare Planum A C B ; quod iique (1prOpHI
Ccentrum aequilibrii ex constructione) estaequilitrrii Planum perpendioulare per
arem mOcus, grare dirimens in duo segmenta AB X, ABS, invicem aquiponde
rantia. Atque hoc eo usque saltem permanebit, urcunque MOVCaVE BraVC, duN
idem gravis planum X AS Florizomale manear (puta, Vel rOraLO vecunque circa
Perpendiculum pec C. Gravis vel exiam altius tumiliutve ete vaco aur cleprotto.