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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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e Centro Cravitatis.
Breri. Summa Demonstracions lle Fedic. Cu scut t P. O. 12 e 13 Cap. pla.
ced. Ponderacionum Kationes craduntur, in hanc ulerecalem propolitionem con-
Spireneu igualia Pondera circa axes aequatet as ponderare in ratione
distantiarum a plano per Axem Terpendiculari; Et, Tnaquuu proportionaliter:
(Ouacunque lc vol aIs, Velllibra ad Porizoe potu, ce PCeMCLM
Motus cransoae Teitra, are secios stem, Tire linc ad culic  ertas Labras,
lire, in eodem rel direrlis Plasus fbrentur.) Cotal propoluum, de quocunque
Cap. IV
axis licu, non ad Horironem recto; ee de quocunque Punctorum ad Arem licu.
8g0d exac demonstrandum.
axem propentio, leu Conderacio: uc dulum ell, Prop. 2. hujus.
311∞1E E S.  SHC, 1EHIIsiis
GNNOSO Z OZ ZV M as (secE
F Sicu rero Aris ad Horironrem recto, non noit haec Propolicio; (ut negne
 reguencium aliguoc:) OuOnIam, HOC Cat (prOPteL TOCIIOu enculOS HO.
rizonti parallelos) nulla erit cujulris puncti, urcunque gravdem ad motum circa
Si Pervendiculare LTanu Pel Hocus Arem, incedens; lecet Grave in
partes inricem aequiponderantes: (HIoc est; Si Perpendiculare Pla-
num per Axem lic elanum sequilibrii:) Non morebitur, sibi siC
permissum, Grare.
Sin Sesmentorum alterum, religuo praeponderet; (dummodo non
sic Axis motus, ad FTorizontem perpendicularis:) Pa feretur; c-
tenus donec tat Squilibrium. Pt simul uraque aequipollent excestui
praepoltentis.
Adeoque; Non erunt, ejuldem graris (aut Agoresati oravium) duo
Aquilibrii Plana invicem parallela.
non moveri grare.
F Axc mocus ad Florirontem recte, o p, ea L usllo. AeDC,
De Axe motus non ad horizonrem recto; lic demonstratur.
Fis. GL. Si Derpendiculare planum per ZS morus axem, divicat Crare in segmenta A.
B: horum verague (graria cum sinc, de extra perpendiculare planum posita
hac illac Velcentum motientus (per 3 hujus;) Rc quidem uecs Propter rO
rationem circa XS axem, per Fhujus) cum Alcentu contraru; adleoque conera
vonderabunt: Si iraque aequipondetant: contrarii conatus aequales, le muruo susti
nebune; nec Aetmotus. Si alterum praponderet: hoc reliquum luperabit; adeq
que mocus hortum tier, donee Aquilibrio impediatur (Per L2 CaP. L.) Duogue
limul conarus concrarii: aequipollebune excellur pra poAlenS. (per 8 cap. I.
Duxe demonstranda crane
Acque hinc seguirur: (Ouod etram ante demonttratum elt, ad prop. 20. Cap.
Eis. 93
Diacca.) Lo caitus uidem graris (aut aeEczalt Zaru) duo parallela llana
AguilibrI. Lal i LTanum per 2O Lic Clau LMLDCA; hie Paralelu.
mla Del L Lg Uiel. Nam (polis uccclescu au lllea peivendiculal.
bus) si sexmena. XSA, LSB, xequiponderane; seemena YY A, Y FB, non
aequipon.