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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 651, page id 851387705:0671
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De Centro Cravitatis.
aequiponderabunt. Nam XS F Y interseementum, aequiponderantium uni abla
cum, alteri addicum, momenta faciet inaequalia; per 9 cap. T. Salcem, s inter-
Teomentum illud nullum lic (sed quasi vactium; incer duo connexa Graria inter
jectum;) tiec uccunque segmentorum alterum, ut XSB, Lorgius ab Y T quam abs
XS; propius aucem alterum XP A: Adeoque illius momendum augebieur, hujus
minvEtuK (Pex X3 eap. 3.) _ esrueime _. guilibrium, per D cap, P. V. I I1I e13
rucsiliis siess le
irselitirspik Borpil. SiB SC 1ZO, LI L _T M. OuO WL : WWpOSBA
DEana Perpendicularia Parallela, hic axpello (de subinde alias; ubi’eadem
L racio) quando Forixoncales Rectae unius, sunt alcerius Rectis Forixoncalibus,
rallelae. Ouanquam ehim, perpendicularia cum sint Plana, in PerIX, cento d.
coeant; eadem camten ratione (ne lonea periphrati opus lit) Parallela Plapa di-
cencur qua Pespendieula (propres immensam Cengi cerrae aiarviam) pro Pa
ralletis Rectis haberi solent.
14_ iGHE  WP SdHC ABL
boup scitro no P R, OP. ,Y
Si recta quapiam, Ut AXO, non ad Florixontem perpendiculari osu
Rencum Orare, quielcee: Idem Ceare eodem heu constitutum, alia
quaris ejusdem ad Eoriconcem perpendicularis Plani recta sutten.
cum, Paricer quiescet.
ReCtA vero extra hoc Planum, el ano Paralleta (non ad Horirontem
recta) Ruc Axe Lullineatur: non, eo situ constieutum, qmeleetoio
Oca: Si AB GravC, AXC X S (non ad Forizonem recto) Sustentum, qui- F 18. 945
elcet: Perpendiculare Planum per hune incedens, ut Y X S I, grare diri-
met in A, B, Segmenta, inricem aquiponderantia: (Nam (I AlTCTULELI PPX
ponderaret, non quiesceret Grare; Per Praeced.) Sumpta jeicus alia quaris in eo
dem Plano recta, un PP: quum ver hanc incedens Planum YXS F (uc jam
octentum est) secet, Crave in parces in vicene aequipotderances : AVe L L susten.
tum, sc constuutum Grave, guelcer. per praeced.
3111C
Sin alia guaris, excra hOC PIanU recta (qua Platio parulola Tt _ nSH ad
2
eo luu, quielco uipDes Cyquie
ane incellens, porvendicularo Plantmm
Planum Aquilibrii; (nam, nili aequiponderarent legmentas, nOn quielceret; Per
Praced.) Fstque plano priori parallelum; (quod, proprer parallelam plano per
quam incedic rectam, non ad Iorironcem perpendicularem; ec quem lupponi
mus, Perpendiculorum parallelismum; probabitur ex 15 F. I. LI.
Adeoque, duo
eltent parallela Pland siguilibrii. Duod pet pacect. ) fiert Hon Porett.  L ilic
5.11119O D(FC) S
SeSi OCCE SHMHDEDEA
rseresi
e sis luilra sarla R OPs NTT. VG CtrCUP cont. ie : ∞be
Si sequilibrii dre tattineatur Crare; quocynque siu ponprur, sibi
Sic permissum, quiescet.
Et Contra; Si Axe motus sustentum Crare, iqugeunque siti ponatux
quiescet: Axis ille motus, est Axis Aquilibxii.  il m
ete ~As. LIS. DB IDEDCVSI
TAm; Si Aquilibrii AXC sustineatur Crare; quocunque ticu ponatur Crare;
(nempe; quocunque ad Forizontem litu ponat Axis ille; de quodeunque
Planum per hunc motus Axem, consticuatus, ad Hlorizonrem rectum:) Perpendi-
culare Planum per Axem, Planum erit aequilibeu: (per, deL iAxis A quilibuil) A
eoque non morebicur, sibi sic permissum Crare; per S hujus.
Converta similiter patet. Nam, nis motus AxiS ille, sit: Axis Aquilibriis erie
salrem aliquod Planum per hunc incedens, quod Plariem equilibrii non erit
(per det. Axis A quilibrii.) Adeoque, positos hoc Axo non in sicu ad Ioriron-
rem recto; posicoque illo non Aiquilibrii Plano, in, Tiuu perpendiculari; MOro.
bitur GraVC: Per S hujus. Ouod ett contra hypocetM, n e
N AnN 2
eaL
PROL