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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 656, page id 851387705:0676
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aD.
TCVLIED Scsse
recto; Incellisaur Z. BIdibra alceuse a Lorkonem inelimari: Dieo eciamnum
tull Ne aurem potrerSolidi in Plano re
. Praelehrationem; Anearum mulcicudo ducen-
Orfits. 47). sn Telarun, turbet, phamatiam: ca projectione
cslsintrura vcorsiquae oculum supponie in ipsc
isaxe porCuransounce, acque in diltan
intinira. t Propterea, cum axis ille in
unicum C punctum projieirur; cum. Rectae
quaeris hunc parallela, in condem respecti
se puncta: Planaque per axem omnia, in
cocidem rectas; in iplo Z A CBS per li-
bram Plano perpendiculari. Oux quidem
Projectio, uc Phantatiam jurat, ita nec Ra-
itiones percurbac: Ovonam (pert cal. a
Prop. +q. cap. Z. ) qerinde omnino ponderai
(respectu C axis) quocunque ejusdem rectae
e tssilos essee ASOP OreRO n (Duta per D cranteuncis) ari parallelae
puncto incelligatur grave. cK adem urique est. singulorum, ejusdem, punctorum ab
AOB perpendiculari per axem Plano diltantia, aique ipsius D ab AC B perpen.
diculo. LCI
11155.3IT195
Incelligatur ilaque, surcunque cirea. C roraco Crari,  C. S Libra (ee simul Pla-
num librae per axem) ex liu Hlorizontali in licum = C Z, uccunque ad FTorizontem
inelinatum delata: Cui respondear, in eodem Perpendiculari plano, in licu FTori-
rontalis XCS; hujusque punctis D, E, F, _c. puncta illius d, e, f, ecc Intelli-
Bacur aurem Cirare corum, ex partibus (aqualibus an inaequalibus, pluribus an
paucioribus, adeoque numero tinicis an infinitis, perinde elt) puta tribus L, M
e constare, (ae quidem, vel in spis pespendicularis plani punctis L, M, N
vel in L, M, N, rectis, axi parallelis; urcunque posicis, dummodo Lic, ZC. S axis
requiliberi; ) ad librae puncta, in sicu horizontali potIX, D, L, F, applicatis; u
quae (per 4 caD. 3. _ cal. 4. prOD. 24. ejusdem) limiliter ponderent ac s in iplis
O, E F, punctis incelliganeur. Delata vero libra ZC.S, in =CZ; delata simul
erunt (proprer rocarionem torius graris) D, F, F, L, M, N, puncta ponderaque
in d, e, F, m, n. Eric, inguam, adhue ACB perpendiculare planum aequilibrii
Per axetl; adeoque Ccenrrum aequititrii.
Nam, cranctaris D, C, P, punctis, in ae, f, minuentur quidem horum (proplet
obliquationem librae) Donderationes, (Per r3. Cap. 3.) Sed in eadem ratione
minuentur; adeoque, quod prius erac aequilibrium etiamnum manebic (per cat. F.
prop. 24. Cap. 3.) si ad eadem quae prius libra puncta D, B, F, Hoc CA d, e, f
applicata maneant pondera L, BL, D, hoc est B, m, n.
libra murentur applicationum puncta, Duta, CX d, C, F, In. 8, E, 9; adeoque mu-
cecur ponderationum ravio; (per cal. 3. PrOP. 14. Cap. 3.) Ponderum l, m, qua
supra libram fixa incellisuntur, ponderationibus sinistrortum auterendum aliquid:
addendum rero ponderacioni similtrorsum ponderis n intra libram tixi; (nemper
prout in prasenci lchemace ponuntur; ee limilicer, mucacis mutandis, in quacun-
que sire obliquationis tibix, sire ponderum ad obliquacam liboram potitione.) Suut
aurem
De Centro Cravitatis.
Per 23 Cap. 3. Ouippe eadem adhuc manebir omnium cum ad Horiconcem inelina
io, etum ab AC. B. perpendiculari per axem plano diltancia.
E18. 97.
quocIbet planorum, per Z CS cranlcuncium, perpendiculare tat:) Dico, cciam
num idem ACB planum, planum elle aequilibrii; adeoque C, ut prius, aequilibrii
Centrum. Cum enim omnia urtiulque segmenci puncta, in planis ipsi AC B p2-
rallelis rorencur; Manebunt achue in eadem qua prius, ab AC. B, perpendiculari
per adem motus, distanua: Adcogue u Cadem qua prius ratione ponderabune;
Der 4 hujus, vel 13 Cap. 3. Cum itaque prius, relpectu ACB plani aequiponde
C, uc prius Centrum aequilibrii.
idem C punctum, esse lituaes al Sicenirum A quilibriisi id
Fis. 96. Deinde; Manente uE prius, XS ase uccunque in siu Horiconcali: incelligatcur
e
utcunque circa illum rotari Grare, in quemeunque situm adarem (nempe ut
rabaHE TEEIMenIA NB Xs ABS; oramnum aequiponderatum.  Lrirque propterea
Oenique; Ouocunque Planorum per ZS cranscuntium, manente ad Hlorizontem
213C
21t
Destt
Cum aurem; pro ponderum l, m, n, intra suprave libram fira policione; mora