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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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cccum estets io
Cap. II.
num rectarum lonsitudine aequalium; vel Ponderum et reciproca
Congicudinum rectarum aeque- altaTUM.)
Adeoque; Si Pondera sine Aqualia; in ratione Decliritatum; Si De.
eliritates snt Aiguales; in ratione Ponderum: Si Pondera Cint De
cliritatibus reciproce proportionalia, (sire proporrionalia L onsicu-
dinibus aeque altis;) aqualiter graritant. 
ldemque aliis Viribiis Morricibus accommodabitur. ps
15 Ldsi CidiSS
3ASt
1 le B. CilsilI D .CssiiiB. i C nD. OWC l: n P. it 1C
mD
mD:
5
D
VD. C:: neD. nO: : me D. mC:: mnPD. mnC:: PD. 6. 1 311
DOTa: Si Pondus, P, in Declivitate D, Gravilet ut C: Pondus nP, in cadem
dectiritate, GravicabienE nG, (per L hujus:) Adeoque, in Dectiricate m D
Graritabic uc mnC, (per 17 hujus:) Hoc est, in ratione ex Ponderum ee Decli-
vitacum rationibus compotita, (ver 2 C ap. T.) HoccH, (ver T4 hujus,) eX POn-
derum ec Alcicudinum rectarum Lonsicudine aequalium, vel ex Ponderum et reci
proca Lonsicudinum aeque altarum. Guoderat probandum.
Corollaria constant, cx 4 ec6 C ap. L.
Aia Demonstratio.
L18. 4F. Idem sic alias demonstrabicur. In FP ad Horironem recta; sit Pondus D:
e huie aequale L, in inclinata PO aeque alta. Pr connecti incellisantur Pondera
D, L, filo Aexili D F L, punctum Pimmobile ambignue:  rr moto D, vertus P
cancundem moreatur L. verlus F; e contra. Pric i P P ad FO; puta ut mad
T; Licrice rersa, Delcentus Ascentutre ponderis Liniliac, ad Delcensum Ascon-
tumre ponderis aequalis D in IIIa; I( Per F2 trujus:1) adeoque de (quae AUrC PIO-
porcionalis elt, per s er ry hujus,) Graricacio Ponderis in L, ad aegllalis ponde.
ris D gravitationem. Hocelt, s D graritat ut C; aequale pondus lu Gravicabie
uc mG; hoc est, in reciproca Lonsiudinum aque altarum; sire in Decliriracum
ratione.
Ct Farieii
Adeoque; Si Inaequalia A L D, pondera; Dutar ==nD: Stancab, Iud
Ly uc mn G: (per F hujus: ) hlocelt, in ratione quae ex Ponderum ee Declirica.
cum rarionibus componitur; lire ex vatione Ponderum e reciproca L
aeque altarum.
portionalia L onsieudinibus xque altis; Xeque graritant. per 6C
demonstranda.
1
F.
DuX CranE
Ouaproprer; Si Pondera sint Deoliritacibus reciproce proportionalia, Tirei Pro-
Siu circa Punetum quodris (extra Terra Concrum) in FTorixontali
recta, ut Centrum, Recta linca, manente uno extremo, altero de
scribat Circuli veripheriam, in plano act Fforizontem sire recto
lire utcunque inclinato: Alcissimum peripheriae punctum, illud est.
quod supra. Florirontalem rectam est in recta ad illam perpendio-
lari; Flumillimum, illud quod est in eadem perpendiculari intra II0.
ticontalem rectam: Punctorum vero in peripheria intermediorum
illud Altius est, quod est supremo prOpHIS; Interius, illud quod est
propius intimo, Teu a Cupremo remotius: Oux autem aequaliter
utrinque rela summo rel ab imo distant; sunt aeque alta.
Idem, mucatismutandis, aliis mocibils accommodabitur.
79 IVS. SIOC, HCS SeIP SansirS:s nOIsseIASI SucliEs cirSse sive
ibresiis h urral 3ril); sussesivilsCS cusisbruss ducline Cicca
SAIHIBI