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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 326, page id 851387705:0346
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DE SFCTIOHId CIOP. LAVI.
arabola datae Lharheter. Inrenta enim (ux prius) una qualibet diametro, recta
huic parallela per darum punctum ducta, est Diameter gux(Ica.
Trem, Parabolae Axem reperire. Inlcripra nempe recta qua Diametrum quam-
libet ad angulos rectos seceT; ea qua per hujus medium punctum irantit Dia-
meter, est Parabolae AXIS.
Trem, Datae Diametri ordinarim axplicatas positione invenire. Vel, quod tan-
tundem est, nculum inclinationis invenire. Ductis nempe binis diametro daia
Parallelis rectis, ucrinque ab illa aequaliter remotis, qua Parabolam secent; recta
lectionum puncta conjunsens elt data diamerro ordinatim applicata, reliquaque
omnes huic parallela.
Trem, Latus. Rectum invenire datae in data Parabola Diametro conveniens. F. H
enim Lacus rectum, Diameero. intercepra e Ordinarim applicata cerria continue
provorcionalis.
Item, Ad datum datae diametri punctum ordinatim applicatam in data Para-
bola ducere. EA enim interceprx diamerro et laceri recto media proporcionalis,
Diamerro, juxca inclinationis angulum, applicanda.
Trera. Ad datam diametrum, datumque Latus rectum, Parabolam in dato in-
clinationis anculo ducere. Nam politis ad dacam Diametrum in daco angulo
quodibet ordinatim applicaris, curra per earum omnium extremitates aequabiliter
ducta cAt Parabola.
Verum ego harum omnium esfectionum demonstrationes omitto; parrim ut
exdio non lim, parcim ur lic quo se exerceant cirones, praelerrim cum ilIX CX PEX.
dietis Facile poltine elici. Aique eildem de causis multa alia ee Theoremata et
Problemata lubens praecereo; cum nobis non Tic animus vel sinoutis minuriis in-
tistendi, vel propoliciones ciuia necellitarem mulciplicandi. Quod erium de se.
quencibus incellisendum exit.
PR OP. XXVI.
De Fllipsi absolute considerata.
Um su in Fllips (ut ostensum est, PrOP. 16.) Ouacearum Or
 dinacim applicata e = I d -- d. Licebit jam (ut prius ParL
volam, (C) Ellipsn eo charactere insignitam, suo Cono eximere, at.
que absolure quidem e universaliter contemplari, acsi nullam ommino
ad Conum relationem haberet; ut nec circulus (qua quidem una est
Edip(eos Species) censeri Colet habere.
Cllipsm iditur appello eam (sire lineam curram in plano descriptam,
sire tixuram planam ejusmodi curra terminatam,) cujus ordinacim-
applicatarum singularum quadrata, aequantur difterentiis binorum re-
etansulorum; quorum quidem Majora sunt incercepris Diametris, Mi-
nora vero carundem quaceatis, provortionalia. (Nempe e = l d -- d.
Sunt enim rectangula Ldu ipsis d diametris interceptis proportiona-
lia, Propter communem altitudinem I: ipsa rero = d diametrorum
interceparum quacatis d proportionalia, proxter communem ra.
tionem :.)
Diametrum, Diametros interceptas, Verticem, Ordinatim positas, Ordina
rim inscriptas. (sive Ordinatim subtensas,) Ordinatim- applicatas, atque
Punctum applicationis: eodem sensu hric accipio quo supra de Parabola
nisdem usus sum.
Rectam