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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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DC
ARTTHMEHICA PFOB. DXXVII
PRO P. LXXVIT.
Corollarium.
L ADB Parallelam rectae DB in rectas DB Complementi Semi-
parabolae respective ducantur; rectaneula producta erunt Series Secunda-
ris prae norum: Mealae aulem proporcionales, Series Primanorum, (Trianculum con-
ed
Surotrum AD F.)
Nempe, Series A. Guana I Seriem Secundanorum sic ducta, dat Seriem eriam
Secundanorum, (quia 0 f 2 = 2,) corumque radices quadraliex sunt Series Pri.
manorum.
PROP. LXXYILI.
Corollarium.
Y Trianculi rectae DB respective duean-
tur in rectas semiparabolae DR, rectan-
cula producta erunt Series radicum quadra-
ticarum Lertianorum, e mediae proportiona-
les, radices Biquadratieae Tertianorum, DF.
Dempe, Series primanorum in seriem sub.
secundanorum sic ducta, dabit Seriem radicum
quadraricarum Tertianorum, (quia r f 3
quarum radices quadrariex, sune radices biqua-
draticae Tertianorum.
eROP. LXXIX
Corollarium.
TTrianguli rectae DB respectide ducantur in rectas Complementi semi-
parabolae DB; producta reclangula sunt Series Tertianorum (quia
Et mediae propotcionales, radices quadraticae Tercianorum,
3.)
Demonstratur ut praecedentes.
IL. LXXX
Cdlollarium.
 rectae Complementi semiparabolae
in rectas semiparabolae respective
ducantur; rectantula productà̂ erunt
Series radicum quadraticarum duin-
tanorum (quia 2 Y 2 = 2;) es mediae
proportionales, Series radicum biqua
dratuvarum suintanorum. Ot Patet
SC TYOL. YV M.
sione prorentent, sudicandum erir. Or si triansuli unius recta  Iectas LHan-
suli alterius (hire limilis sire dissimilis, modo aque alti,) respectire ducantur
tiet Pyramis; media vero proportionales constimmene etiam Priangulum. Semi
parabolae unius rectae in rectas alcerins respectire ductxe, eHicient Pyramidocides
Parabolicum; media aurem proportionales semiparabolam. Lt sic de exteris.
ROP.
Et pari modo de liguris sive planis sire solidis, quae ex ejusmodi mulcipliez.