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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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DRC
De Sectionibus Conieis.
Elyperbolae ea, ip(is Aa, Typerbolae conjngutae; Com.
mune cum illis cenerum habCNEeS, CUE PATCT.) Scd
_ eaIdem habebunE ACyIDEOEAS RCCCAS: CE ja dC=
monstracurus Cum.
Nam completo paralIClOBrAMMIO MM, (cujus LaCCTA PEr
conjupatos rerrices tranccane, lincq; conjusaris diaciris
cranlversis parallela e propierca aqualia;) crune reta C Nt
omnium ACymPTOCR; per prop. 39. C Idem accidec, (1, CumPCIS
quibutris C B, C s, iplisCA, Ca, proporcionalibus, FOcmme.
cur parallelogrammum circa idem cenerum C, lacera Babens
conjugaris diamceris parallela: Omnia enim puncta ancuacie,
in ACympeoris CM reperiencur. Puca, li ordinacim aplicaca
in hrac Figura descripca, ad ACyIPEOTAS ULC; CONCIHIAFENIMII.)
Praecer illas aurem ACympeocas duas, nulla in eodem plano
recta duci porest, quae (producta) non alicui ex conjuracii
Hyperbolis (productis) Occurret. UC ex praedictis Facile cA
demonstratu.
ParaIICIOGTAMIU AUTeM MM ( DeC QUAEUOT CONIUEALOS
vercices cransiens) respondec parallelosrammo Flliphicireum
Ccripeo per iplius conjusatos rertices cranleunci.
PROP. XL. III.
De Systemate Fyperbolico.
Ctatuor illx, quas diximus, Ayperbole conju-
Sate, relpondent toridem (in EllipE) conju-
satis scccionibus EIipeicis (de quibus proD.
29. dictum cst.) cum hoc tamen (inter alia) discrimi-
DC, quod quatuor sectiones Elliprice, cenerum vertus
incurrate se mutuo continuant; ar conjusale Hyper-
Bole, a CentrO recUrVate (POrteM COnVexuM Cen
trum versus habentes) nequ sibi invicem, neq. Tuis A.
lympeotis rectis, nisi post intinicam distaneiam occur-
TUNE, auc occurTuraS CAC (UPPONUINEUI. Pota verO (.
GUITa