in one of its aspects , the invention provides a catheter of a selected length , and having a main body of a first cross - section and a tip section of smaller cross - section , the tip section being formed integrally with the main body from a catheter blank having a length less than the selected length . also , in another of its aspects , the invention provides a method of making a catheter tip on a main body of thermoplastic synthethic plastics material and having a first cross - section . a progressive forming technique is used to reduce the cross - section of the body to create a tip section of smaller cross - section .