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nydus/Philosophiae Naturalis Principia MathematicaPublic
Page 82 of 473
Table of Contents

SECT. V.

Inventio orbium ubi umbilicus neuter datur.

Lemma XVII.

Figure for Lemma XVII.
*Si a datæ conicæ sectionis puncto quovis*P*, ad Trapezii alicujus*ABCD*, in Conica illa sectione inscripti, latera quatuor infinite producta*AB*,*CD*,*AC*,*DB*, totidem rectæ*PQ*,*PR*,*PS*,*PT*in datis angulis ducantur, singulæ ad singula: rectangulum ductarum ad opposita duo latera*PQ*×*PR*, erit ad rectangulum ductarum ad alia duo latera opposita*PS*×*PT*in data ratione.*
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