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jasirs94 at Mar 25, 2017 08:38 PM

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G35

syllogical substages of deduction, or definitory and ratiocinative
deduction. The former includes the analysis of concepts,
the acquisition of distinct ideas, and the transformation of
them into fruitful forms. A whole class of demonstrations that
have given mathematicians no little trouble, such for
example as that discovery of Euler's which forms the
25th proposition of the VIIth book of Legendre's Éléments
de géométrie, the sum of the number of faces and summits
of an ordinary polyhedron exceeds the number of edges by

34

G35

syllogical substages of deduction, or definitory and ratiocinative deduction. The former includes the analysis of concepts, the acquisition of distinct ideas, and the transformation of them into fruitful forms. A whole class of demonstrations that have given mathematicians no little trouble, such for example as that discovery of Euler's which forms the 25th proposition of the VIIth book of Legendre's Éléments de géométrie, the sum of the number of faces and summits of an ordinary polyhedron exceeds the number of edges by