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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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ARTTAMETICA LTOP. CiCI.
Acque tractenus Nobilissimi Viri mencem, quanta pocui brevicace simul acque
perspicuitate exposui; quaque de iplins mechodo dicenda habus breviter indicari.
P R OP. CXCTI.
Theorema.
Tse aegnabilis Curra (non hrinc inde Cubsultans) V C, cujus Axis
DVX, et Pansens in rertice VP: unde ductis ad curram rectis axi
parallelis, et ab invicem aequalibus distanciis remoris, harum Secunda,
Duarta, Sexta, Octara, etc. (in locis paribus,) sine uE T, 6, 30, 540,
_C. (qui numeri tiune ex continua mulciplicatione hOrUM, ZXEX 13, X 15 X ,
eC.) Frit, ur Secunda ad Tertiam (hoc est, ue xad numerum ipsIS I,
s, incerponendum,) sic Semicirculus ad Ouadeatum Diametri.
Sequitux ex PrOP. 139, et 135.
P R OP. CXCITI
Theorema.
L exponatur aequabilis curra VC, cui occurrat in verrice VY.
 unde ductis ad curram quoclibet rectis parallelis et aequaliter ab
invicem remotis, harum Secunda, Ouarta, Sexta, Octara, Decima, _c,
(in locis Paribus,) sint uE 2, 233, 583 3 ec. (qui numeri Aune ex
continua mulciplicatione horum, 2, X3X3 XZXZ etC.) Frit, ut Secunca
2d Tertiam, (hoc est, ue r ad numerum ipsisL, 3, interponendum,)
sic Circulus ad Ouadratum Diametri. (VF autem Sccunda ad Ouin-
tam, sic Triplum Circuli ad Ouadruplum istius Ouadratiu _c.)
Sequicur ex PFOP. X18, 12T, e 285.
P ROP. CXCIV.
Theorema.
Tsic aquabilis CuerX V C, axis VX tangens in vertice V P, un-
de rectae ad curram ducta (axi parallela e aequalibus interstuiis
dissita) lccunca, quarta, sexta, octara, decima, ec. (in locis paribus)
lint uE 2, 238,18, 23 ec. (qui numeri hiunt ex continua multiplica-
tione HOTUM FXZX ZX3X B _C.) Prit, uc secunda ad tertiam (hoc est,
ut c ad numerum ipsis F, Z, interponendum;) sic Circulus ad 3 Oua-
drati circum (exipei(sire Ouadrati ex Diametro;) Sire Triplum Circuli
ad Ouadruplum Ouadrati circum scripei. (Oc aurem Sccunda ad Ouin-
cam, sic Friplum Circuli ad Octuplum iltius Duadeati _c.)
PateE ex praesed. _ Tabella pFOP. 189.
dC FOT. L M
Ec quidem hujulmodt alla propotitiones innumera ex eadem Labella (prop. 180.)
deduci pollime: Formaris scilicet aliis acque aliis ejusmodi curris juxra istius LL
bellae tenorem.
Ouales aurem futurx sine illae omnes curra non adeo Facile erit juclicare.
Hloc incerum de quibuldam observare licer. Nempe; In terie serta, numeri (Pri
angulares) F, 3, 6, 20, _c. (qui tiune ex continua musriplicatione horum
TXEXZ XIS _C.) Sune uc quacdraca ordinacim applicacarum in Hyperbola; ue di.
ctum est prOD. T73.
In serie Ouarta, numeri (arictmerice proporcionales ) 1, 27 3, 4, 8c. (qui Fi
une ex concinna mulciplicatione horum FX3 X E X E eC.) Luneue quadrata ordina-
tim applicatarum in Parabola: sire ut rectae in Friangulo: ut patet.
T2