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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 14
# Folio 97v, page id 00067976:0194
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nam nac
Utrum angulus in semicirculo sit rectus
alculo sic invertigatur
1
sit in Semicirculo cujus diameter AB
sit angulus BC A, quaeritur an
is sit rectus. Quod ut inveniatur
opus est in ta ut in calculum ingre-
diatur tam natara circuli, quam
natura anguli recti. itaque ex
anguli recti natura, sia oportet
quadratum AC, et quadratum BC
aquari quadrato AB. id ergo
utrum verum sit videamus. Itaque invenenda
est magnitudo AC, et BC, ex natura circuli
e
nomni ci quam ut ad calculum revocemus
conciderandum est omnia puncta circuli, ut
A, vel B, vel C aequaliter distare a centro
sit Itaque radium eA, vel EB vel EC vocem
Et ex puncto C ad axem AI
demitlamus perpendicularem CF ut
habeamus in circulo dotm ordina
tamus C)
quam vocabimus: y, et
abscissam EF, quam vocabimus X
et relatio inter ordinatam et abscissam
aequatione expressa habit naturam circuli
e nam quadrat C, + quatrat. FE. aequatur
quadr. radii EC seu XX + gu LYr. Hinc
jam investigemus AC, et BC; jam Hc quar qua
dratu AC aequatur quad r A FC, seu gy, plus