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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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avt
sec
mati
ostent
110
CUM
erat
FE de aliiS CONTTATIIS LIMISITCT. SINEque Contrariorum quancitates A, 2 A, 3 A, d
Erit + A = A == 0. + 3A - 2 A = + A. = 3A f 2A = - A, ec. (VE CX
Addicionum segibus conttac.) Hloc est, ABBresatum aequiralet FXcessii praepol.
rentis. Quod crac propositum.
AC F A
= 2 A =
DrOPOCicuM.
A = = 2 A. - A - A = = 2 A. + 3A F 2 A = + 5 R
5A. (uc ex Addirionum lesibus similirer constat.). Quod item erat
Exempli Bracia. A Curtum, _ A deorsum; se mutuo destruunc: 3 A surtum,
∞ 2 A deorlum; tancundem ralent arque LA Turtum: 3 A deortum de 2 A Tur-
Tum; aeguiralent acque 2 A deortum: Adeoque, Dui (rerbi gratia) unum paltum
aCcendit, e rancundem descendir; nihilo elt vel altior vel humilior: Oui alcen-
dic3 paltiis, et 2 paltis descendit; est uno pattu altior: Oui 3 pallus descendit
iterumque alcendit 2 pacus, est uno palsu humilior.
Trem; Oui unum Addis et cancundem Autere; nihilo vet Auget vel Minuit:
Oui addic 3, e Auterr Z; uno Auget: Oui 3 Folit, ec 2 Restitmic; uno Mi-
nuIC. FF de Concrariis aliis similiter judicandum.
Contra vero: Dui 3 paltus alcendie, et insuper 2 alios; est 5 pastibus altior:
Oui 3 paltus descendit, e deinde 2 alios; est s passibus humilior.
Tcem: Oui 3 Addic et insuper 2; quinario auset: Oui cum 3, cum 2 F ollic;
quinario minuie. Et de reliquis similirer.
Prop. IX. De Motu, Ceneralia.
AEquipollens H vel AIISCaTUE, vel Contrarium Minuatur; sic PraepoL-
lens: Si Minuatur, vel Contrarium AusCatur; sc minus. PollenS.
A + F. = A.
A. = F = A.
Via Focum est sui Parre majus. Pura: Totum A + E, Papollet iptius par.
ei A. Ec Tocum A, iplius parci A - F
SCHOF ZVM.
COnique hX Propoltones Norem, coridem Lemmata; quae non magis spectane
Dpraelentem Mocuum Doctrinam, quam quamvis aliam; Sed Trequencistimi usus
erum in sequenribus; quare in reltibulo demonstrandas duxi.
P ROP. X.
Obi conjuncta lune Momentum et impedimentum: Si Nomentum
praepollet, Pro Momento simul habenda sunt; pro Impeclimento
vero, si praepollet Impedimentum; Ft utrobique Tanto; quantus
est praepollentis Excestus; Sin aequipollent, DrO NCUErO.
Sin plura sinc conjuncta vel Nomenta, vel Impedimenta: Panta si-
mul habenda sunt, quanta eAt eorundem summa.
Om enim Concraria sinc Momentum et Impedimencum; hoc est, CauLA ut FC,
d Causa ne lic: Constat propositum, per 8 hujus.
e ROP. XI.
Si Momencum Impedimento praepollet: Motum efticit. Adeoque; S1
Dulius fuerit, Inchoatur: Si jam fuerit, AusetuE.
Si prxpollet impedimentum: Impedit. Adeoque Motum, Siguis jam
sc, vel FOllit, vel Caltem Minuit.
Ft quidem in ca ratione plus minulre P. HiciC aut Impedit, qua major
est rel minor Excestus praepollentis.
eec
PHO