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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)
# Folio 20, page id 824573315:0040
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De Angulo contactus.
BEHCE (quIA CUErUM reCTO nOn COnGruEE;) ErgO nulli angulo
rectilineo aequalis elt ansulus contactus; adcoq; nec ullam ha.
behic ad ansulos rectilineos rationem.
Rclpondeo 10. Eodem argumenco lequeretur cciam ansu-
lum E AS (Decipheria _ recta secanre comprehensum, non
minus quam E AP Cangulum contactus) non modo nulli an
CAP. 6.
Sulo rectilineo postibili aequalem esse (quia nempe ( Crus alEc
rum AS, anguli rectilinei cruri alcerueri luperpOnaEur _ CON
ruac, religuum camen AP reliquo congruere non pocest)
quod force concederet Clarius: rerum propcerea nullam esse ra-
eionem hujus ad illum, nempe ansuli P AS ad guemris pol
Tibilem reccilineum; quod tamen ne quidem C larius diceret;non
enim negare posset angulum R. AS, Caltem mulciplicatum,
Dosse angulum rectilineum, selcem aliquem, superare; praeserrim
cum ciera dubium (IC, ipsum F. R S anculum mictum, rectilinco
P AS vel majorem esse vel Calcem equalem. Argumencum isi-
eux allacum, ne quidem Clario judice, quicquam praestabic.
Uc aurem non Eolum recorqueam argumentum, (cd et no-
dum Colram; Respondeo 20. Verum quidem esse, quod, si duo
rum angulorum aequalium duo crura homoloen CongrUanE,
coneruent eciam _ reliqua duo crura, camdiu lcilicee quam eo
rum utrumq; eandem retinee inclinationem, quae fuic in iplo
puncto concursus (vel etiam ubiaerumqs; limul aeque ab illa
inclinatione deRectac:) ac vero si alcerum Tuam quam in puncto
concurtiis habuie inclinacionem rerineae, reliqua vero luam
mucet, illa non diucius coneruent. Acverohoc in angulismi-