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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
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PROP. 26.
DeSectionibus Conicis.
dinacim applicacae cercia concinue proporeionalis.
Trem, Ad datum datae diamerri puncrum ordinarim. applicatam in data
Parabola ducere. EA enim incercepcae diametro et laceri- recto
media proporcionalis, Diametro, juxca inclinacionis ansulum,
axplicanda.
lcem, Ad daram diametrum, datumqe L arus- recrum- P araholam in da-
ee inclinationis anculo ducere. Nam Posiris ad dacaM DIAMICETU
in daco ansulo quolibee ordinacim applicatis, curva per carum
omnium excremicaces x quabilicer ducta cA Parobola.
Verum egoharum omnium effectionum demonstrationes o
miccos parcim nc cxdio non lim partim uE se quole exerce-
anccrrones, praelertira cum illae ex pradieris facile postine elici
Acq; cildem de caulis multe alia et Theoremaca _ Problemata
lubens pexetereo; cum nobisnon sic animus vel lingulis minu
eiis insiltendi, rel propolitiones ciern necessicatem mulciplican-
di. Ouod eciam de sequencibus incellisendum eric.
PROD. XZVI.
De Flipsi absolure consideraia.
UIm EIE in EIiPE Cut ostensum elt, PFOD. 16.)
Ovadratum ordinatim- spplicatxe e2- Id de
Licebic jam (uc prius Parabolam, Sic) EIliptin eo cha-
ractere insignitam, suo Cono eximere, acqi ablolure
quidem e univerlalicer contemplari, acsi nullam om-
nino ad Conum relacionem haberet; ut nec circulus
quae quidem una est EIlipseos Species) habere vulso
censetur.
Ellipsen isitur appello eam (sive lineam curvam in
Plano deleriptam, livefisuram planam ejulmodi cur-
va terminatam,) cujus ordinatim- applicaturum sin
eularum quadrata, aeguantur differentis binorum rE-
Ctansulorum; quorum quidem Majora Cunt intercer
eis-Diametris, Minora vero carundem quadratis pron
portionalia. (Nempe e, =-ld, d2. Sune enim re-
etangula