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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 3
# Folio 14r, page id 00067962:0027
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lib. 1.
Claous demonstraturus axioma BB Ecelidis, quod ri in duas rectas halas
alia lineas AC, Bd incidem recta AB facint internos adta ad expemq partes
argulos BAC, ABd, duobus vctis mireres, recta AC, Bd product ad
putes cd coeant. Assumit danquam principium per se clarum, si duo recto
si lneque ubique aequidistet a recta esse, rectam cum e i circulo quae linea ubique
aeque distat se Circulus. Verum hoc princitrum in parabola alis non procedit
Malim ergo hoc principrum, quod quae aequidistat a recta sit recta et eo
demonstrari quod congrant cd linea quae ab extremo F descubitur; lines
A Axioma 13 adhibet Euclides ad demonstrandam prop. 28. 1, quod de alia
eB quor descubatur ab extremitabe B
ad F et E aequales quorectae parallelo ex eo ostenditur
quod omnisiatrium snodo EF(F) et FE(E) emo congruentia deinde
tus tis unus alteri congruus, nuaquam erguquecarrent rectae sunt ergo parallelae
eealcer quianlum
a dianebro
Mea Methodi  rectam secare circulum bifariam
non eget demonstratione. Cum t nulla in determinatione utriusque
partis sit ratio discriminandi. itaque congruere eas necesse est. Congruere
enim necesse est, quae ex iisdem eodem modo determinantur