Why did reconstruction include the thirteenth, fourteenth,
and fifteenth amendments?

The reason that those 3 specific amendments is because they were ratified to establish political equality.  

Between 1865 and 1870, during the historical era known as Reconstruction, the Thirteenth, Fourteenth and Fifteenth Amendments to the U.S. Constitution were ratified to establish political equality for all Americans. Together, they are known as the Reconstruction Amendments.

the two sets of lines are :

and remember beauty,five-wits,strength,and discretion ,they all at the last do everyman forsake (to leave forever ) for after death amends may no man make,for then mercy and pity doth him forsake.(to leave forever )