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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 335, page id 851387705:0355
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O N IC
perimetro; rectaque OO est FipR inseripea: Sed et illa (eique patastela, ca
dem ratione,) d recta a C bilecatur, adeoque ordinatim inseripia ell esusque se-
mistis O diametro aC ordinatim applicata. Quod crat demontulacum.
Et DrODterea DO, DO, (quae ex constructione, tunt punctis D D Ordina-
tim POTIEX) Tune ec Ordinatim applicatis aequalia, adeoque puncta OO, fune in
Norandum autem est (tam quoad Anatosin quam Synthesin) fieri quandoque
posse, (ubi recta OO lonsius abest d tangence a F) ut punctum CE vel inera LI
lixtin accidat vel etiam ulira oppoticum verticem: Sed nihil hinc continget quod
operationis proerellum multum percurbet; tantum mutanda tortan erunt aliquo.
ries ligna Y =, aut aliqua Paltem quancitates occurrent negatire interpretanda.
Sed hoc non tanci elt, uc capropter operationem iltis calibus accommodandam
repetam. IIlud aurem d quoris vel parum exercitato (Licui id opera pretium
videbitur) tacile praestari postit.
Incerim non erie incommodum Corollaria quaedam hic subjungere, (qualia
TUBjUMXIMILIS PFOP. F4. de Parabola,) Puta.
Oualibet Perimetri Fllipseos punctum alicujus diametri verticem esse.
Adeoque, En qualibet P lixsi numero infinitos esse Verribes, atque Diametros
insinitas.
Trem, Fillipseos diametros omnes in Contro convenire.
FC, Rectam quamlibet per centrum transeuntem, Diametrum este
Trem, Quamlibet in eodem plano rectam per aliquod intra P lipsin punctum
transeuntem alicui diametro Ordinatim. positam esse.
trem, duae diumetro alioui in verriee occurrit, ipsius Ordinatim applicaris pa-
ralleta Fllipsin in illo puncto continsere.
Et duae Fllipsn contineil, rectam diametro per concactus punctum transeunti
Ordinatim positam esse, ejusque Ordinatim applicatis parallelam.
Denique; Fllipsin, qua diametros conjueatas aequales atque ad ansules rectos
positas habet, Circulum este.1
Haec aurem, aliaque innumera, vel lacis in pracedencibus demonstrancur, vel
inde lalrem lacile demonttraci PocerunE.
P R O P. XXXII.
Effectiones Ceometrica.
A Tque ex dictis latio incelligere licet Geometricam Problematum
LL effectionem. Puta,
Fllipseos Diametrum invenire. Ouae enim duas quastibet inscripras paralle las
Bisecat est diamerer.
Fllipseos Centrum invenire. Nempe in duarum quarumlibet diametrorum con.
curtuI.
Fllipseos diametrum invenire, quae per datum punctum cranseat. Rectam nem.
De, quae dacum punctum et centrum conjungit.
Data