The same body.....with missing limbs? What of those turned to dust? Those Chistians burned to a crisp in Roman times?
The very quote you made says those bound for heaven will not have a fleshly body, but a spiritual one, not one of flesh and blood.
Both are true.
“We believe in the true resurrection of this flesh that we now possess” (Council of Lyons II: DS 854). We sow a corruptible body in the tomb, but he raises up an incorruptible body, a “spiritual body” (cf. 1 Cor 15:42-44).
See http://www.vatican.va/archive/ccc_css/archive/catechism/p123a11.htm