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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 908, page id 851387705:0928
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O
De Calculo Cent t.
et R DVI, reliduum minus erie quam Sector AKB f Spat. C LBR. (Nam DrI-
mum auferendo omnia P DN, a figura circum seripea Sco Tenguitur Sector
ARB: AC eadem K D N anterendo a Frapeziis L D, LCnaa omnia Limul mI-
ec nora Tunt spario C F BK: Ouin addiris rurtus spatiis L. IC, Cusla LMuL aequan-
cur demum spatio C F BR.) ErgO, Si ab his iplis, a HMa HUMTUM circa Se
ctorem F Frapeziis L. D; Hoc Ct, a Figura spaci CMo Cicumleripca; Au.
spacium ipsum Ciltoidis dempto 2 aequale dicebatur his ip sis. Lrgo Cistoidis spa-
rium majus exic tigura sibi circum seripta. Quod elt abluraMI.
 HIoc itaque demonstrato, Quod Spat. A V P F V B = 2 Scom. CBT F Tri.
Cap. V
a geCtori-L omnibus Praperiis F D. Sed ab his si demantur bis omnia Frilinea
a ang AC. B: lache unce, duod, Spatium infinitum AVP F. YFB = = 3 dc
HE FETAtUE SI: Religuum multo minus erit SeCtOre ARB F SpaT. C TBR. Scd
micirc. AC B.
acTrem, Duoa Spatium AV PF. B = 3 Segment. C BF.
Aeque tractenus Demonstratio D. FFucemi. Alam le dicit ad D. Stuscum olim
milille, an  tu sle  att.
Tdem alicer.
Fnic D. FTueenii demonstrationi, liber etiam meam Tubjungere, (JTueenianae
llclo accolaocatam) d caltte inte colulam qua tutta iut lietoide ulllo
tum; rerencis item cildem Symbolis. Nempe.
fi
Fig. 169, Incelligatur (ut, in Cyeloide, SC, FI. prop. 20. e alibi,) Semicireuli Genitoris
174,332. peripheria ADa in punctis Z, B, D, _C. in partes quoctibet aequales diridi; puta,
complencia tiguram Circumseriptam, quorum unum (icB a Y; rel denique lGuoe
hic pocissimum sequemur) complencia figuram parcim inseriptam parcim circum
scripiam, Glorum unum sC L a L.
Ouibus respondeane Friangula (sim concrario) ad Cireutum, BA P, BAY,
P AX; ad CilToidem, b A P, B A Y, P AY; ad PansenteM, BA X, BAV, n Av; de
Friansulorum ad Cilsoidem, et ad Pansencem, disserentix) Prapezia bB F P
bB,Y, DXVY. Oux quidem (figuras parcim inscriptas parcim circum (criptas
spectantia) P a Y, P A Y, P AY, = A0, P = vY, repraesentent axes sui aB, AB, AB,
AB, bB. Ouanquam enim, in sectione detinita, major sic B X quam BP, adeoque
by quam bB, et B0 quam B r: neque rectae AZ, aD, in eodem Y puncto pE
cile coeant; aut rectae a X, AD, in eodem praecile puneto P: Sectione tamen in in-
Finirum continuata, disterentix illxe cranelcunt; adeoque hic pro nullis habendae,
iplaque recta PB = B X arcui e B Y = BD, et PBY = XBD. OC, ex Tupra
traditis de Creloide, liquer.
sin PBY = B; AdCOque (proprer hujus alcicudmet A ==,) ctit Prrangulum
PAY, TCU AB, = =D. SCd (provter similia criangula) vt recta AB ad AB,
e ad AB; hoc estu ut A =B, dd AZ = a. V = h, et ad A9 = 2R; EC est
XB, BD, vel ZBD, ecc. Onibus respondeant Sectores XaB, BaD, vel XaD
Sec. Semicirculum complentes: Seu (quod in partibus intinire exisuis tancundem
ralee) Friangula tiguram Inlcriplam comptera, quorum unum lcB a l; ve
Tis ita constructis; Ponamus Friangnlorum P a Y, P AF, (seu aB, AB,) ba-
Ct =B, ad side ad   - ro. adebusu C proprer aiicueinem, illice