Conjunctive syllogisms involving conditionals still work with premises, a shared component, and an entailed conclusion. What changes is the possible mixture of connected, disjunctive, and categorical premises.
The first figure gives a directed chain, the second contrasts opposite relations to a common side, and the third connects two predicates through a shared antecedent in a restricted case. The text then gives disjunctive and mixed categorical–connected forms.
The next section on al-qiyas al-istithna'i considers conclusions drawn through explicit exceptions using “but.”