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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 131, page id 851387705:0151
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DE GEOD ESTA.
Exempli cracia. Fieurarum appolicarum alcera in eria Ouadrata se unum Pri
angulum arviditur: Alcera in quacnor Friangula. Ouae s Teortim menturen.
tur; illorum ascresacum priori, horum polteriori tisurae aequatur. Acque codeM
Cap. XX
proctus modo laciendum eric in liguris quibutris mulcansulis, praetercim irregula
ribus; resoluta scilicet ligura multangula in tot paralselosramma vel triangula
quor tigurae ratio poltulat, ee prour Caleulo magis ridebitur expedire; quod cu
jusque prudencia permictendum erie.
Si vero tisura menturanda, quoccunque demum habuerie latera, Regularis Sit; Mensu-
hoc elt, quae cum omnia latera invicem aequalia tum omnes ansulos item aequa ratio fi
les habeat: Calculus sie commode poceric incticui. Invento sieura regularis centro,
(quod de circuli sire inferipei lire circum seripei cencrum elt, ut ex principiis Geome Cularis.
erieis liquet, ee d singulis laceribus aequaliter dictans;) recta a centro in latus quodvis
perpendicularis, si in semiperimetrum multiplicetur, fieurae recularis aream exhibebit.
Exempli oracia. Sic Seranoulum reoulare (puca agulacerum ee aequiangulum)
circulo InSCTIPEUM. A CCNErO C adt lacuis quodris DF. agacur perpendiculariS C B
haec ducta in semissem perimetri sexanguli vel hujus semusts in perimetrum, ex
hibet corius aream. Nam, ductis cruribus CD, CR, Formacur Cangulum CDF,
cujus area est CBX Z DF, vel ZCBXDF, (UE CX
calculo criansuli Cuperius cractico liguet.) Tiem
ductis insuper ab eodem centro C ad reliquos
sexansuli ansulos cocidem rectis, constitueneur
EOF criansula quot funt tigurae latera; cruntque ea
lingula criansulo C D F. aequalia per 4 _ 8C. T.
(propter cum aequales rectas a cenro, quippe quae
lunc radii circuli ambientis, tum aequales icem re
etas in ambicu figurae, uc quae supponitur aequila-
tera:) tories itaque repetenda erit praecedens
menturatio, quoc Cunt tigurae latera, quia tOC C.
rune criansula inricem aequalia; puta CDF =
C F F, _c. figuram incegram complentia. Hoc
elt, in expolita figura sexangulari, area crianguli C DF. Lexies repetita, extribet
TOtIUS areaM, puca SCBXZDR vel ZCBXSDF
rel CBX3 DE; ducto nempe L C B lemille perpen
diculi, in perimetrum sDE; vel berpendiculari
CB in lemillem perimecri zD L. Aeque limilirer ta.
de eteluterenca contulune angulos. Omnes
cienaum erie in alia quaris tigura regulari sive plu-
rium lire pauciorum laterum.
Ouod aurem de tigura regulari rectilinea di
etum elt, idem de de circulo dicenaum est. Fltenim
circulus fieurarum planarum omnulit maxime reeu-
ratis; omnes enim a cencro ad celimterenciam li
nea quortumcunque ducta aeguales lune, e aequales
mersta