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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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DeCiman La Cravitatis. Cap. V.
larerit, Bilineis uno rel pluribus; habebieur area Prilinei cujulris ucur minorum
circulorum arcubus comprehenti.
Denique; Cum nulla pollic exponi Fixura, in Superticie sphaerica, Planorum
sectionibus (hoc est circulis sive maximis sire minoribus) terminata; qua in hu-
julmodi satis accao. suao  Do sclotri: Dacur iltiulmodi tisurae cujulris
magnitudo. Guouctat o.
Atque, ad eandem Formam, Frianguio sphattco, adauis ablacitre, ut res postu-
L
OP. ZZ
Seomenta Spliaerae utcurque Planis cruncatae; Magnicudinem datam
hrabent.
Outmodi enim Sphiaerae SesHIeHta quae libet, terminantur, partim portione re-
Cidlua Superticiei Spharica, parrim planis cruncancibus.
Incelligatur aurem (ur adt prop. 16. hujus) ca qua reltat superticiei spharica
portio, (cujus magnicudo data elt, per proD. praeced. ) in parciculas quancumliber
minutas diltribui, cocam complences; quibus insiltere intellisantur tocidem pyra
mides exigux, communem verricem habentes Splaerxe Cemrum; e communem al.
cicudinem, Sphaera Radium. Adeoque, Radii Friens, in curram illam supertici.
em ductus, (urpore Balium illarum agxresatum,) extibebit, Pyramidum lire Se-
ctorum Sphaericorum illorum, portioni currae inlistentium, Aggregatum
Blana rero, quae, una cum hac curra superticie, cocam complent, sunt etian
nocx magnicudinis: Cepote quae sunt rel Fisurx Rectilinea, vel laltem Circulo.
rum pOrriones, quarum Magnicudo habetur, per prOP. L5. hujus. Flarumque item
(uepote positione datarum) dancur Diltantix d Ceniro Sphaerx; Ouarum quidem
erientes, in sua respectire Plana ducti, exhibene Prramidum magnicudines, Planis
illis insiltencium, et communem rerticem habencium Centrum Sphaera.
Oux quidem Pyramides, addicae vel subductae (prout res culerit) Aggresato illi
Pyramidum superticiei curra insistentium, jam invento; exhibent Expoliti Ses.
menci magnicudine.
Datur igicur istiusmodi cujutris segmenri sphaera, planis uICUnqUE CruNCAL,
Magnicudo. Quod erat ostendendum.
C LLV L LV M
Frero Propolitionis hujus, et simul praecedentis, Praxis, Exemplo alique
LLillustraca, tacilior recea. Libet hic Tubjungere, Problematis Solutionem
desicetacam; et quocidiani ulus, in menturandis ratis vinariis e cerriliariis, Par.
Cujus ego Problematis SoluIHEM, Gutque Demonstrationem, eodem Ccarim
die, lutemarim ei extribui; (e gcancum seio, omnium primus absolri) ad hunc
a Redixendum elte exposicum Dolii vel Spharocideos cruncari Fructum, ad in-
CChabebIErationem, quam haDCL BBL IOCIACOS AXIS, ad Diametrum SpHXrR; PFOPter
a invae Ca Parione lonsius remora, quam habet Axis Spharocideos ad AXem
CESPIaFa.
a conttatum, communem verisees habencibus Centrum Sphaeix; balesque in Fru
Ouorum quidem qua Bases Planias Habene, facile extiberi poste; eum plana
cc illa alia non linc quam Cllectoru porciones, noris methodis extribenda; ca-
ac rumque a Cemiro dillantia lalcicudinem decerminanes) facile exquirantur.
ic Ouoe
quo altae asOL ALIIES MIEI LOLDCLE prOPOTuIE Vir ingeniosuS, _ FeFNM Ma
um depleris
senlum. Nempe
chemaciearum perirs, D. Joh Collins, CAususti F2 2665.) canquam rem maxime
a scriptae Sphaera Prustum cortetpleno, ad quod, Prustum illud Sphaerocideos cam
ae Plana Sphaerocideos parallelis SCIXta Planis correlpoudentibus aqualia, se d ab
e Iti Superticie conrnuas, iplam complentes.
aTIIud autem Sphaera Frustum, considerandum este tanquam ex Pyramidibus