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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
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DE CYCL
in fguris intinice exiguis, cum craperiis cum eriangulis, suppo-
nenda est aequalicaS.) Sed _ insuper, si libet, licebit (ducta recta
Cm) craperii eriangulum uE r paralleloorammo mediumincer.
Ponere; adeoque substicuere, pro uno parallelogrammo integio,
duo paralleloerammr dimidia V E C EP (suppomrur ucique,
proncer concinuatam in intinicum sectionem, cum L X, X P, eum
C  P, invicem aequales ese;) qua duo parallelogramma di-
midia cancundem circumvolrendo praeltane live recte Y E urrin-
que contiqua, sive aequalirer urrinque remoca Fuerint: cum siP
idem urrobique centrum graricatis. (Supponimus enim, quod et
Facile  opus sic probabicur, planum quodvis cancundem hujus-
modi conrertione producere quanrum est quod Ac ex eodem pla-
no in lineam iplius centro graricatis descripeam ducto; quod ec
de linea quaris sive recta sive curra in eo plano descripta paricee
incelligendum est. Quod quidem quum ipse olim ne primum
invenisse pucarerim, monitus mox eram nonnihil apud Guldi-
num exitare quod huc spectat. Id aurem s animadverrisset Yac:
quecus, dum de C otindricis e Annularibus acucum opus conserip-
SE, non parum illi fuisset adjumento; muleaque quae illic ex
Aanc cum univertalius eum e concractius Force Fuissene eradita.)
30. Resic constructa; Rario Solidi ex convertione Traperii
VB rP, ad solidum ex convertione Trianguli vF P; componi-
tur ex ratione Traperii ad Triangulum, (hoc elt, sectione in iri-
Finicum continuata, uc 3 ad Y;) acque ex ratione diltantiarum
centri gravicaris in urraque figura a convertionis axe; Nempe,
in Traperio, puncti K, quod ica dividic rectam ZE, UE (IEZ H
adZ6, uc 5 dd9; (adeoque distancia R K eric Z L + 5ZY;)
In Trianoulo, puncti H, quod ita dividic recta F Z, UE SIEF II
ad FZ uE 2 2d 3; (2deog; distancia Hh est Z Z Y.) Racio itaque
distantiarum est, uc 22. + 32 X ad 3Z Y; Sve uE 32Z + 32 Y
ad 22 Y; gux si Cum FaTIOnC PLanOEUM 3 ad L COMPONAEUT, CMeF-
sit Colidorum racio ad invicem, uc 92Z F 52 Y ad 22Y; (IVe, uC 57Y
ad 22Y (hoc est, uE 5dd 2,) acq; insuper VE 9 ZZ ad 22 Y. Ouod
quidem cum ubique Hac, Cicq; eadem ubique ratio 5ZX ad 2 2 l,
adeoq; ex omnium ad omnes; non autem eadem ubique ratio 92l.
ad 22 X, Ted neque aequalia ubique crianzula v FP circumducta,
(quorum s urrumvis essec, pro omnibus 92Z ad 22 Y, DOnCr-
dum esset 18 ad 2; quia nempe omnes ZZ dd omnes 2 Y, hoc
est trilineum C A F Z ad semicirculum CZ F, elt uE 2 ad 2;
GuuI
Te