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In relation to the genus, differentia is called divisive because it divides the genus into distinguishable groups.
Relative to the genus 'animal', 'rational' is divisive (muqassim): it marks rational animals off from non-rational animals.
The same differentia is constitutive of the species and divisive of the genus. These labels describe two different relations, not two different properties.
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The Five Predicables: Differentia, Property, Common Accident, Essential and Accidental Attributes
ونسبة إلى الجنس فيسمى مقسما.
In relation to the genus, differentia is called divisive because it divides the genus into distinguishable groups.
Relative to the genus 'animal', 'rational' is divisive (muqassim): it marks rational animals off from non-rational animals.
The same differentia is constitutive of the species and divisive of the genus. These labels describe two different relations, not two different properties.